diff --git a/Contrib/AgnesScott/Calculus/BoxMaxVolumeFixedCostScaffold.pg b/Contrib/AgnesScott/Calculus/BoxMaxVolumeFixedCostScaffold.pg index d8bfb7370d..3d5572c917 100644 --- a/Contrib/AgnesScott/Calculus/BoxMaxVolumeFixedCostScaffold.pg +++ b/Contrib/AgnesScott/Calculus/BoxMaxVolumeFixedCostScaffold.pg @@ -1,5 +1,5 @@ ##DESCRIPTION -## Optimization - maximize volume of a box with closed top and fixed +## Optimization - maximize volume of a box with closed top and fixed ## cost. Uses GeoGebra HTML5 applet to display graph of volume ## function and an animation of the box as the base length is changed. ## Embedding of Geogebra applet uses https://github.com/Edfinity/ww_ggb_applet. @@ -17,11 +17,11 @@ ## MO(1) ## KEYWORDS('optimization', 'applications', 'derivative', 'Geogebra') -############################################################## +############################################################## # Initialization ############################################################## -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", @@ -89,11 +89,11 @@ $CostChecker = sub { if ($student == $AreaForm) { Value->Error("This appears to be the surface area of the box, not the cost. See the Hint."); } elsif ($student == $mixed) { - Value->Error("Your answer is close, but it appears that you may have mixed units with the budget cost in dollars and the box costs in cents."); + Value->Error("Your answer is close, but it appears that you may have mixed units with the budget cost in dollars and the box costs in cents."); } elsif ($student == $correct/100) { - Value->Error("Your answer is close, but it appears that you may have expressed the cost of the box in dollars, not cents."); + Value->Error("Your answer is close, but it appears that you may have expressed the cost of the box in dollars, not cents."); } elsif ($student == $openTop) { - Value->Error("It appears that you may not have included the top of the box. See the Hint."); + Value->Error("It appears that you may not have included the top of the box. See the Hint."); } elsif ($student == $sideCostError1) { Value->Error("It appears that you may not have used the correct number of sides of the box. See the Hint."); } elsif ($student == $sideCostError2) { @@ -109,15 +109,15 @@ $CostChecker = sub { } elsif ($student != $correct) { Value->Error("See the Hint."); } - return 1; + return 1; }; $VolumeChecker = sub { - my ($correct,$student,$ansHash) = @_; + my ($correct,$student,$ansHash) = @_; if ($student != $correct) { Value->Error("See the Hint."); } - return 1; + return 1; }; $maxVolumeChecker = sub { @@ -147,7 +147,7 @@ TEXT( MODES(TeX=>'', HTML=><'', HTML=>< END_SCRIPT @@ -177,14 +177,14 @@ END_TEXT BEGIN_PGML ## ## -You have a budget of $[$Cdollars] to construct a box with a square bottom and with a closed top. -The cost of the top of the box is [$C1] cents per square inch. -The cost of the bottom of the box is [$C2] cents per square inch. +You have a budget of $[$Cdollars] to construct a box with a square bottom and with a closed top. +The cost of the top of the box is [$C1] cents per square inch. +The cost of the bottom of the box is [$C2] cents per square inch. The cost of the sides of the box is [$C3] cents per square inch. In this problem you will find the size of the box that will maximize its volume when you use all of the budget of $[$Cdollars]. The graph above shows a plot of the volume as a function of the base length. Move the indicated point along the graph to visualize how the volume changes for different lengths of the square base, and use this to estimate the optimal size of the bottom square. -Click on Part 1 to open the section. Enter your answers for the two questions in Part 1, then click on Submit Answers. Once your answers are both correct, you will be able to open Part 2. When your answers to Part 2 are both correct, continue to Part 3 to find the optimal width and height for the box with maximum volume. +Click on Part 1 to open the section. Enter your answers for the two questions in Part 1, then click on Submit Answers. Once your answers are both correct, you will be able to open Part 2. When your answers to Part 2 are both correct, continue to Part 3 to find the optimal width and height for the box with maximum volume. END_PGML @@ -204,19 +204,19 @@ What is the cost of the box *in cents* in terms of [`x`] and [`h`]? What is the volume of the box in terms of [`x`] and [`h`]? -[`V`] = [_________________________]{$volForm->cmp(checker=>$VolumeChecker)} cubic inches +[`V`] = [_________________________]{$volForm->cmp(checker=>$VolumeChecker)} cubic inches END_PGML BEGIN_PGML_HINT -The cost of a closed box is the sum of the cost of the square top, the cost of the square bottom, and the cost of the four sides of the box. The costs should be given in cents. The volume of the box is the area of the base times the height. +The cost of a closed box is the sum of the cost of the square top, the cost of the square bottom, and the cost of the four sides of the box. The costs should be given in cents. The volume of the box is the area of the base times the height. END_PGML_HINT BEGIN_PGML_SOLUTION -The cost of a closed box is the sum of the cost of the square top, the cost of the square bottom, and the cost of the four sides of the box. The top and bottom each has area [`x^2`]. Each side of the box has area [`xh`]. The cost of a closed box in cents is therefore [`C = [$C1]*x^2 + [$C2]*x^2 + ([$C3])(4xh) = [$C1*$C2]*x^2 + [$C3*4]xh`]. The volume of the box is [`V = x^2 h`]. +The cost of a closed box is the sum of the cost of the square top, the cost of the square bottom, and the cost of the four sides of the box. The top and bottom each has area [`x^2`]. Each side of the box has area [`xh`]. The cost of a closed box in cents is therefore [`C = [$C1]*x^2 + [$C2]*x^2 + ([$C3])(4xh) = [$C1*$C2]*x^2 + [$C3*4]xh`]. The volume of the box is [`V = x^2 h`]. END_PGML_SOLUTION @@ -247,7 +247,7 @@ Solve the cost equation for [`h`] and substitute into the volume formula to get END_PGML_HINT BEGIN_PGML_SOLUTION -The cost of the box in cents is [``[$C1]*x^2 + [$C2]*x^2 + 4([$C3])xh = [$C1*$C2]*x^2 + [$C3*4]xh = [$C]``] where the budget $[$Cdollars] has been coverted from dollars to cents. +The cost of the box in cents is [``[$C1]*x^2 + [$C2]*x^2 + 4([$C3])xh = [$C1*$C2]*x^2 + [$C3*4]xh = [$C]``] where the budget $[$Cdollars] has been converted from dollars to cents. Solving this equation for [`h`] gives >>[`` @@ -283,7 +283,7 @@ Use the derivative to find the width [`x`] that maximizes the volume. What is the height of the box of maximum volume? -[`h`] = [_________]{$optimalHeight} +[`h`] = [_________]{$optimalHeight} What is the volume of the box? @@ -326,4 +326,4 @@ Scaffold::End(); COMMENT(' Note: Uses GeoGebra which might not be executed in the Library Browser. Uses scaffolding.'); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/AgnesScott/Calculus/CanMinAreaScafford.pg b/Contrib/AgnesScott/Calculus/CanMinAreaScafford.pg index 16d2a98c74..15b2cb1a9e 100644 --- a/Contrib/AgnesScott/Calculus/CanMinAreaScafford.pg +++ b/Contrib/AgnesScott/Calculus/CanMinAreaScafford.pg @@ -1,7 +1,7 @@ ##DESCRIPTION ## Optimization - Minimize surface area of a cylinder with fixed volume. ## Modification of OPL problem CanOptimizeArea.pg from CSUOhio to use GeoGebra -## HTML5 applet rather than Flash. Made the volume be randomly chosen and +## HTML5 applet rather than Flash. Made the volume be randomly chosen and ## added hint and solution. ## The GeoGebra applet also shows an animation of the cylinder ## as the radius of the base is changed. @@ -21,11 +21,11 @@ ## MO(1) ## KEYWORDS('optimization', 'applications', 'derivative', 'Geogebra') -############################################################## +############################################################## # Initialization ############################################################## -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", @@ -84,15 +84,15 @@ $AreaChecker = sub { } elsif ($student != $correct) { Value->Error("See the Hint."); } - return 1; + return 1; }; $VolumeChecker = sub { - my ($correct,$student,$ansHash) = @_; + my ($correct,$student,$ansHash) = @_; if ($student != $correct) { Value->Error("See the Hint."); } - return 1; + return 1; }; @@ -104,13 +104,13 @@ TEXT( MODES(TeX=>'', HTML=>< END_SCRIPT @@ -140,9 +140,9 @@ END_TEXT BEGIN_PGML ## ## -A closed cylindrical can must have a fixed volume of [$V] [`\text{cm}^3`]. In this problem you will find the radius of the can that will minimize its surface area. The graph above shows a plot of the surface area as a function of the radius of the base. Use the slider to move the point on the graph to visualize how the surface area changes for different values of the radius, and use this to estimate the optimal radius. +A closed cylindrical can must have a fixed volume of [$V] [`\text{cm}^3`]. In this problem you will find the radius of the can that will minimize its surface area. The graph above shows a plot of the surface area as a function of the radius of the base. Use the slider to move the point on the graph to visualize how the surface area changes for different values of the radius, and use this to estimate the optimal radius. -Click on Part 1 to open the section. Enter your answers for the two questions in Part 1, then click on Submit Answers. Once your answers are both correct, you will be able to open Part 2. When your answers to Part 2 are both correct, continue to Part 3 to find the optimal radius and height for the can with minimum surface area. +Click on Part 1 to open the section. Enter your answers for the two questions in Part 1, then click on Submit Answers. Once your answers are both correct, you will be able to open Part 2. When your answers to Part 2 are both correct, continue to Part 3 to find the optimal radius and height for the can with minimum surface area. END_PGML @@ -162,19 +162,19 @@ What is the surface area of the cylinder in terms of [`r`] and [`h`]? What is the volume of the cylinder in terms of [`r`] and [`h`]? -[`V`] = [_________________________]{$volForm->cmp(checker=>$VolumeChecker)} +[`V`] = [_________________________]{$volForm->cmp(checker=>$VolumeChecker)} END_PGML BEGIN_PGML_HINT -The surface area of a closed cylinder is the sum of the areas of the top and bottom circles and the area of the side of the cylinder. If you could cut and unwrap the side of the cylinder, it would become a rectangle whose width is the circumferance of the base circle and whose height is the height of the cylinder. The volume of the cylinder is the area of the base times the height. +The surface area of a closed cylinder is the sum of the areas of the top and bottom circles and the area of the side of the cylinder. If you could cut and unwrap the side of the cylinder, it would become a rectangle whose width is the circumference of the base circle and whose height is the height of the cylinder. The volume of the cylinder is the area of the base times the height. END_PGML_HINT BEGIN_PGML_SOLUTION -The surface area of a closed cylinder is the sum of the areas of the top and bottom circles and the area of the side of the cylinder. The top and bottom circles have combined area [`2\pi r^2`]. If you could cut and unwrap the side of the cylinder, it would become a rectangle whose width is the circumferance of the base circle, [`2\pi r`], and whose height is the height [`h`] of the cylinder. The surface area of a closed cylinder is therefore [`A = 2(\pi r^2) + 2\pi r h`]. The volume of the can is [`V = \pi r^2 h`]. +The surface area of a closed cylinder is the sum of the areas of the top and bottom circles and the area of the side of the cylinder. The top and bottom circles have combined area [`2\pi r^2`]. If you could cut and unwrap the side of the cylinder, it would become a rectangle whose width is the circumference of the base circle, [`2\pi r`], and whose height is the height [`h`] of the cylinder. The surface area of a closed cylinder is therefore [`A = 2(\pi r^2) + 2\pi r h`]. The volume of the can is [`V = \pi r^2 h`]. END_PGML_SOLUTION @@ -192,7 +192,7 @@ Use the fact that [`V = [$V]`] to determine a function [`A(r)`] that gives the s What is the derivative of [`A(r)`]? -[`A'(r)`] = [________________________]{$areaDeriv} +[`A'(r)`] = [________________________]{$areaDeriv} END_PGML @@ -209,7 +209,7 @@ The volume of the can is [`\pi r^2 h = [$V]`]. Solving this last equation for [` The domain of this function is [`r \gt 0`]. ->>[``A'(r) = 4\pi r - \frac{[$V2]}{r^2}``]<< +>>[``A'(r) = 4\pi r - \frac{[$V2]}{r^2}``]<< END_PGML_SOLUTION @@ -226,7 +226,7 @@ Use the derivative to find the *exact* radius [`r`] that minimizes the surface a What is the *exact* height of the can of minimum surface area? -[`h`] = [________________________]{$optimalHeight} +[`h`] = [________________________]{$optimalHeight} END_PGML @@ -243,7 +243,7 @@ r = \left( \frac{[$Vd2]}{\pi} \right)^{1/3} \end{aligned} ``]<< -The graph suggests that this is the global minimum. Calculus can verify this. Note that +The graph suggests that this is the global minimum. Calculus can verify this. Note that >>[``A''(r) = 4\pi + \frac{2([$V2])}{r^3} \gt 0``]<< @@ -268,4 +268,4 @@ Scaffold::End(); COMMENT(' Note: Uses GeoGebra which might not be executed in the Library Browser. Uses scaffolding.'); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/AlfredUniv/AUCI/chapter2/lesson5/error10pet.pg b/Contrib/AlfredUniv/AUCI/chapter2/lesson5/error10pet.pg index c8c04e3479..810cf2f253 100644 --- a/Contrib/AlfredUniv/AUCI/chapter2/lesson5/error10pet.pg +++ b/Contrib/AlfredUniv/AUCI/chapter2/lesson5/error10pet.pg @@ -44,7 +44,7 @@ $Veval = $V->substitute(r=>"$r"); $dVdr = $V->D("r"); -$dV = Formula("$dVdr*dr"); +$dV = Formula("$dVdr*dr"); $error = $dV->substitute(r=>"$r",dr=>"$dr"); $relerror = $error*100/$Veval; @@ -56,7 +56,7 @@ $maxerror = NumberWithUnits("$error","m^3"); Context()->texStrings; BEGIN_TEXT -An oil tank in the form of a right circular cylinder of radius of $BITALIC r$EITALIC has a height $BITALIC h$EITALIC of $height meters and a volume of $BITALIC V =${EITALIC}$height\(\pi\)${BITALIC}r${EITALIC}\(^2\) . The radius is measured as $r meters with a maximum possible error of \(\pm\)$dr meters. Estimate the propogated and relative errors in the calculated volume of the tank. +An oil tank in the form of a right circular cylinder of radius of $BITALIC r$EITALIC has a height $BITALIC h$EITALIC of $height meters and a volume of $BITALIC V =${EITALIC}$height\(\pi\)${BITALIC}r${EITALIC}\(^2\) . The radius is measured as $r meters with a maximum possible error of \(\pm\)$dr meters. Estimate the propagated and relative errors in the calculated volume of the tank. $BR $BR Propagated error \(\approx \pm \) \{$maxerror->ans_rule\}(Your answer requires \{ helpLink('units') \}.) diff --git a/Contrib/AlfredUniv/katz/chapter10/question2.pg b/Contrib/AlfredUniv/katz/chapter10/question2.pg index 879d89551a..05d4c21e26 100644 --- a/Contrib/AlfredUniv/katz/chapter10/question2.pg +++ b/Contrib/AlfredUniv/katz/chapter10/question2.pg @@ -1,5 +1,5 @@ ##DESCRIPTION -## Algebra problem: true or false for inequality +## Algebra problem: true or false for inequality ##ENDDESCRIPTION ##KEYWORDS('algebra', 'inequality', 'fraction') @@ -18,7 +18,7 @@ ######################################################################## -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", @@ -42,9 +42,9 @@ $answer = String("computations"); Context()->texStrings; BEGIN_TEXT -Thus, Charlemagne, even before his coronation in 800 as Holy Roman Emporer, formally recommended that the mathematics necessary for Easter \{$answer->ans_rule(20)\} be part of the curriculum in Church schools. +Thus, Charlemagne, even before his coronation in 800 as Holy Roman Emperor, formally recommended that the mathematics necessary for Easter \{$answer->ans_rule(20)\} be part of the curriculum in Church schools. END_TEXT Context()->normalStrings; ANS($answer->cmp()); -ENDDOCUMENT(); +ENDDOCUMENT(); diff --git a/Contrib/AlfredUniv/katz/chapter12/question22.pg b/Contrib/AlfredUniv/katz/chapter12/question22.pg index ec83224e41..ce9b6146d8 100644 --- a/Contrib/AlfredUniv/katz/chapter12/question22.pg +++ b/Contrib/AlfredUniv/katz/chapter12/question22.pg @@ -1,5 +1,5 @@ ##DESCRIPTION -## Algebra problem: true or false for inequality +## Algebra problem: true or false for inequality ##ENDDESCRIPTION ##KEYWORDS('algebra', 'inequality', 'fraction') @@ -18,7 +18,7 @@ ######################################################################## -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", @@ -42,9 +42,9 @@ $answer = String("equation"); Context()->texStrings; BEGIN_TEXT -Finally, sometime between 1500 and 1515, Scipion del Ferro(1465 - 1526), a profesor at the University of Bologna, discovered an algebraic method of solving the cubic \{$answer->ans_rule(20)\} \(x^3+cx=d\) +Finally, sometime between 1500 and 1515, Scipion del Ferro(1465 - 1526), a professor at the University of Bologna, discovered an algebraic method of solving the cubic \{$answer->ans_rule(20)\} \(x^3+cx=d\) END_TEXT Context()->normalStrings; ANS($answer->cmp()); -ENDDOCUMENT(); +ENDDOCUMENT(); diff --git a/Contrib/AlfredUniv/katz/chapter12/question45.pg b/Contrib/AlfredUniv/katz/chapter12/question45.pg index 32f5f67878..68725bc7cc 100644 --- a/Contrib/AlfredUniv/katz/chapter12/question45.pg +++ b/Contrib/AlfredUniv/katz/chapter12/question45.pg @@ -1,5 +1,5 @@ ##DESCRIPTION -## Algebra problem: true or false for inequality +## Algebra problem: true or false for inequality ##ENDDESCRIPTION ##KEYWORDS('algebra', 'inequality', 'fraction') @@ -18,7 +18,7 @@ ######################################################################## -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", @@ -42,9 +42,9 @@ $answer = String("science"); Context()->texStrings; BEGIN_TEXT -Therefore the whole analytic art, assuming htis three-fold function for itself, may be called the \{$answer->ans_rule(20)\} of correct discovery in mathematics +Therefore the whole analytic art, assuming this three-fold function for itself, may be called the \{$answer->ans_rule(20)\} of correct discovery in mathematics END_TEXT Context()->normalStrings; ANS($answer->cmp()); -ENDDOCUMENT(); +ENDDOCUMENT(); diff --git a/Contrib/AlfredUniv/katz/chapter12/question54.pg b/Contrib/AlfredUniv/katz/chapter12/question54.pg index 79e5ce2452..34a95bf450 100644 --- a/Contrib/AlfredUniv/katz/chapter12/question54.pg +++ b/Contrib/AlfredUniv/katz/chapter12/question54.pg @@ -1,5 +1,5 @@ ##DESCRIPTION -## Algebra problem: true or false for inequality +## Algebra problem: true or false for inequality ##ENDDESCRIPTION ##KEYWORDS('algebra', 'inequality', 'fraction') @@ -18,7 +18,7 @@ ######################################################################## -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", @@ -46,9 +46,9 @@ In Vietes notation this is $BR $BCENTER A is l.\(\overline{Z plane + B quad}\)-B,$ECENTER $BR -the first occurence of what we can \{$answer->ans_rule(20)\} call the "quadratic formula" +the first occurrence of what we can \{$answer->ans_rule(20)\} call the "quadratic formula" END_TEXT Context()->normalStrings; ANS($answer->cmp()); -ENDDOCUMENT(); +ENDDOCUMENT(); diff --git a/Contrib/AlfredUniv/katz/chapter3/question31.pg b/Contrib/AlfredUniv/katz/chapter3/question31.pg index b3032346ff..e3d59ddeec 100644 --- a/Contrib/AlfredUniv/katz/chapter3/question31.pg +++ b/Contrib/AlfredUniv/katz/chapter3/question31.pg @@ -1,5 +1,5 @@ ##DESCRIPTION -## Algebra problem: true or false for inequality +## Algebra problem: true or false for inequality ##ENDDESCRIPTION ##KEYWORDS('algebra', 'inequality', 'fraction') @@ -18,7 +18,7 @@ ######################################################################## -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", @@ -42,9 +42,9 @@ $answer = String("anthyphairesis"); Context()->texStrings; BEGIN_TEXT -Thus, using the \{$answer->ans_rule(20)\} procedure, Theaetetus gave a new defintion of "same ratio" which applied to all magnitudes. +Thus, using the \{$answer->ans_rule(20)\} procedure, Theaetetus gave a new definition of "same ratio" which applied to all magnitudes. END_TEXT Context()->normalStrings; ANS($answer->cmp()); -ENDDOCUMENT(); +ENDDOCUMENT(); diff --git a/Contrib/AlfredUniv/katz/chapter5/question32.pg b/Contrib/AlfredUniv/katz/chapter5/question32.pg index 0f37e78711..c27037eee5 100644 --- a/Contrib/AlfredUniv/katz/chapter5/question32.pg +++ b/Contrib/AlfredUniv/katz/chapter5/question32.pg @@ -1,5 +1,5 @@ ##DESCRIPTION -## Algebra problem: true or false for inequality +## Algebra problem: true or false for inequality ##ENDDESCRIPTION ##KEYWORDS('algebra', 'inequality', 'fraction') @@ -18,7 +18,7 @@ ######################################################################## -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", @@ -42,9 +42,9 @@ $answer = String("indivisibles"); Context()->texStrings; BEGIN_TEXT -Presumably, Heron undestood that the justification could be given via an argument with \{$answer->ans_rule(20)\} +Presumably, Heron understood that the justification could be given via an argument with \{$answer->ans_rule(20)\} END_TEXT Context()->normalStrings; ANS($answer->cmp()); -ENDDOCUMENT(); +ENDDOCUMENT(); diff --git a/Contrib/AlfredUniv/katz/chapter7/question21.pg b/Contrib/AlfredUniv/katz/chapter7/question21.pg index bcad34b092..86afc0e3e3 100644 --- a/Contrib/AlfredUniv/katz/chapter7/question21.pg +++ b/Contrib/AlfredUniv/katz/chapter7/question21.pg @@ -1,5 +1,5 @@ ##DESCRIPTION -## Algebra problem: true or false for inequality +## Algebra problem: true or false for inequality ##ENDDESCRIPTION ##KEYWORDS('algebra', 'inequality', 'fraction') @@ -18,7 +18,7 @@ ######################################################################## -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", @@ -42,9 +42,9 @@ $answer = String("common"); Context()->texStrings; BEGIN_TEXT -Evidently, then, a method existed for solving such equations during the first millenium of the \{$answer->ans_rule(20)\} era. +Evidently, then, a method existed for solving such equations during the first millennium of the \{$answer->ans_rule(20)\} era. END_TEXT Context()->normalStrings; ANS($answer->cmp()); -ENDDOCUMENT(); +ENDDOCUMENT(); diff --git a/Contrib/AlfredUniv/samples/multipartproblem.pg b/Contrib/AlfredUniv/samples/multipartproblem.pg index 19ef192615..8dc5813c66 100644 --- a/Contrib/AlfredUniv/samples/multipartproblem.pg +++ b/Contrib/AlfredUniv/samples/multipartproblem.pg @@ -1,5 +1,5 @@ ##DESCRIPTION -## +## ##ENDDESCRIPTION ##KEYWORDS('sample' 'example') @@ -18,7 +18,7 @@ ######################################################################## -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", @@ -45,7 +45,7 @@ $inconclusive = String(inconclusive); $b1 = random(2,10); -$a = Formula("1/k^{$b1}")->reduce(); +$a = Formula("1/k^{$b1}")->reduce(); $ratio = Formula("(k)^{$b1}/(k+1)^{$b1}"); ############################################################## # Text @@ -70,7 +70,7 @@ Context()->texStrings; BEGIN_TEXT Applying the ratio test to the series \(\displaystyle\sum_{k=1}^\infty $a\) you would compute \(\displaystyle\lim_{k\to\infty}\)\{$ratio->ans_rule\} = \{ans_rule\} $BR -Hence the series +Hence the series \{ pop_up_list([$converges->string,$diverges->string,$inconclusive->string]) \}, $BR Note that you will have to simplify your answer for the limit or you will get an error message. @@ -102,12 +102,12 @@ $pseries = String("p-series"); Context()->texStrings; BEGIN_TEXT In this case the ratio test was inconclusive, the most appropriate test is -\{ pop_up_list([$divergence->string,$comparison->string,$integral->string,$pseries->string,$lcomparison->string]) \} and the series -\{ pop_up_list([$converges->string,$diverges->string,$inconclusive->string]) \} +\{ pop_up_list([$divergence->string,$comparison->string,$integral->string,$pseries->string,$lcomparison->string]) \} and the series +\{ pop_up_list([$converges->string,$diverges->string,$inconclusive->string]) \} END_TEXT ANS($pseries->cmp()); ANS($converges->cmp()); } -COMMENT('This problem shows how to implement a mulipart problem. Once the student has correctly answered the first part they may go on to the next part.'); +COMMENT('This problem shows how to implement a multipart problem. Once the student has correctly answered the first part they may go on to the next part.'); -ENDDOCUMENT(); +ENDDOCUMENT(); diff --git a/Contrib/BCIT/OpenHomeworkSystemsProjectBCcampus/BCIT_oakl.pg b/Contrib/BCIT/OpenHomeworkSystemsProjectBCcampus/BCIT_oakl.pg index b888efc799..5e5f72cbe3 100644 --- a/Contrib/BCIT/OpenHomeworkSystemsProjectBCcampus/BCIT_oakl.pg +++ b/Contrib/BCIT/OpenHomeworkSystemsProjectBCcampus/BCIT_oakl.pg @@ -27,7 +27,7 @@ loadMacros( TEXT(beginproblem()); -# Defining the variables of the question: +# Defining the variables of the question: Context("Numeric"); $h = 4.14*10**(-15); @@ -137,9 +137,9 @@ $BR \(\therefore \lambda = \frac{hc}{E} = \frac{hc}{$photonEnergy} = $wavelengthnmsn \times 10^{$sn} \hspace{0.1cm} m\) $BR $BR -Refering to the diagram above we know that this wavelength is $wavetype. +Referring to the diagram above we know that this wavelength is $wavetype. END_SOLUTION Context()->normalStrings; -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/BCIT/OpenHomeworkSystemsProjectBCcampus/BCIT_tbrz.pg b/Contrib/BCIT/OpenHomeworkSystemsProjectBCcampus/BCIT_tbrz.pg index b1e718171a..2a10b02000 100644 --- a/Contrib/BCIT/OpenHomeworkSystemsProjectBCcampus/BCIT_tbrz.pg +++ b/Contrib/BCIT/OpenHomeworkSystemsProjectBCcampus/BCIT_tbrz.pg @@ -19,14 +19,14 @@ DOCUMENT(); loadMacros( -"PGstandard.pl", -"MathObjects.pl", +"PGstandard.pl", +"MathObjects.pl", "PGcourse.pl", ); TEXT(beginproblem()); -# Defining the variables of the question: +# Defining the variables of the question: Context("Numeric"); $voltageShow = random(1,4,0.1); @@ -56,9 +56,9 @@ Context()->texStrings; BEGIN_SOLUTION ${PAR}SOLUTION:${PAR} -The electric potential between two parallel plates is desribed by the formula: \(V = Ed\). If we rearrange this formula we can solve for \(E\): \(E = \frac{V}{d} = \frac{$voltage}{$distance} = $E\). +The electric potential between two parallel plates is described by the formula: \(V = Ed\). If we rearrange this formula we can solve for \(E\): \(E = \frac{V}{d} = \frac{$voltage}{$distance} = $E\). END_SOLUTION Context()->normalStrings; -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/BentleyUniversity/MathematicsOfComputerGraphics/setMoCG-Ch13/13-9-CubicBezierFromAccelerationData.pg b/Contrib/BentleyUniversity/MathematicsOfComputerGraphics/setMoCG-Ch13/13-9-CubicBezierFromAccelerationData.pg index 25f474c228..831e535945 100644 --- a/Contrib/BentleyUniversity/MathematicsOfComputerGraphics/setMoCG-Ch13/13-9-CubicBezierFromAccelerationData.pg +++ b/Contrib/BentleyUniversity/MathematicsOfComputerGraphics/setMoCG-Ch13/13-9-CubicBezierFromAccelerationData.pg @@ -64,7 +64,7 @@ The corresponding acceleration function is [`6C_3+6(C_4-3C_3)t`]. For that to b >> [`C_1=0 ~ ~ ~ ~ ~ C_2=0 ~ ~ ~ ~ ~ C_3=\frac16A ~ ~ ~ ~ ~ C_4=\frac12A`] << -Using the same formula as above, we set [`6C_3+6(C_4-3C_3)t=At+B`]. When [`t=0`] this gives us that [`6C_3=B`], or [`C_3=\frac16B`]. Choosing any other value of [`t`] will let us solve for [`C_4`], and teh result will be [`C_4=\frac16A+\frac12B`]. +Using the same formula as above, we set [`6C_3+6(C_4-3C_3)t=At+B`]. When [`t=0`] this gives us that [`6C_3=B`], or [`C_3=\frac16B`]. Choosing any other value of [`t`] will let us solve for [`C_4`], and the result will be [`C_4=\frac16A+\frac12B`]. >> [`C_1=0 ~ ~ ~ ~ ~ C_2=0 ~ ~ ~ ~ ~ C_3=\frac16B ~ ~ ~ ~ ~ C_4=\frac16A+\frac12B`] << END_PGML_SOLUTION diff --git a/Contrib/BentleyUniversity/MathematicsOfComputerGraphics/setMoCG-Ch3/3-7-WriteCombinationAsFunction2D.pg b/Contrib/BentleyUniversity/MathematicsOfComputerGraphics/setMoCG-Ch3/3-7-WriteCombinationAsFunction2D.pg index 486e8b6bd5..8c1d699d5e 100644 --- a/Contrib/BentleyUniversity/MathematicsOfComputerGraphics/setMoCG-Ch3/3-7-WriteCombinationAsFunction2D.pg +++ b/Contrib/BentleyUniversity/MathematicsOfComputerGraphics/setMoCG-Ch3/3-7-WriteCombinationAsFunction2D.pg @@ -55,7 +55,7 @@ $f = non_zero_random(-9,9); TEXT(beginproblem()); BEGIN_PGML -Fill in the blanks to write each of the combined affine transofrmations as a function. +Fill in the blanks to write each of the combined affine transformations as a function. [`F(T_{[$a],[$b]}(x,y))=(`][_____]{"-x-$a"}[`,`][_____]{"y+$b"}[`)`] diff --git a/Contrib/BentleyUniversity/MathematicsOfComputerGraphics/setMoCG-Ch4/4-5-WriteCombinationAsFunction3D.pg b/Contrib/BentleyUniversity/MathematicsOfComputerGraphics/setMoCG-Ch4/4-5-WriteCombinationAsFunction3D.pg index 9ddd8f2532..783ff385b2 100644 --- a/Contrib/BentleyUniversity/MathematicsOfComputerGraphics/setMoCG-Ch4/4-5-WriteCombinationAsFunction3D.pg +++ b/Contrib/BentleyUniversity/MathematicsOfComputerGraphics/setMoCG-Ch4/4-5-WriteCombinationAsFunction3D.pg @@ -92,7 +92,7 @@ if ( $r2x > 0 ) { TEXT(beginproblem()); BEGIN_PGML -Fill in the blanks to write each of the combined affine transofrmations as a function. +Fill in the blanks to write each of the combined affine transformations as a function. [`R_{[$r1x],[$r1y],[$r1z]}(x,y,z)=(`][__________]{"$ans1x"}[`,`][__________]{"$ans1y"}[`,`][__________]{"$ans1z"}[`)`] diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_001.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_001.pg index f8a963b0db..33ea94dfe9 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_001.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_001.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(12 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_002.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_002.pg index cd655ea7fe..23aa8bd33e 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_002.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_002.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(12 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_003.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_003.pg index a42eaa0aa6..6a7bcfde43 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_003.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_003.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(12 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_004.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_004.pg index adb0a464c2..b09368d891 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_004.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_004.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(12 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_005.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_005.pg index a44ffb8afe..bba7736195 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_005.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_005.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(12 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_006.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_006.pg index a281226c69..04d7603b55 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_006.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_006.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(12 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -51,4 +51,4 @@ END_TEXT ANS(num_cmp("$E")); -ENDDOCUMENT() \ No newline at end of file +ENDDOCUMENT() diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_007.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_007.pg index b59df1c937..aa7391dd42 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_007.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_007.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_008.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_008.pg index 491ab59e9c..a50ce4ea0d 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_008.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_008.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -50,4 +50,4 @@ END_TEXT ANS(num_cmp("$E")); -ENDDOCUMENT() \ No newline at end of file +ENDDOCUMENT() diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_009.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_009.pg index b654e505a1..5aa3cb8ac3 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_009.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_009.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_010.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_010.pg index e9728171ce..28e4e39fa7 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_010.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_010.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -62,4 +62,4 @@ ANS(num_cmp("$E")); ANS(num_cmp("$F")); -ENDDOCUMENT() \ No newline at end of file +ENDDOCUMENT() diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_011.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_011.pg index 11056d1b12..6637198ed9 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_011.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_011.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_013.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_013.pg index 84224a2102..42d99c36ce 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_013.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_013.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_014.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_014.pg index f2332cee36..9becacbea1 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_014.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_014.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -75,4 +75,4 @@ ANS(num_cmp("$F")); ANS(num_cmp("$G")); -ENDDOCUMENT() \ No newline at end of file +ENDDOCUMENT() diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_015.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_015.pg index 5294eeb16d..f0a6f5cf0c 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_015.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_015.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_016.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_016.pg index 176a98619f..19579b9e4b 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_016.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_016.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_017.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_017.pg index 44d74c2f4f..57cbc3d103 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_017.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_017.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_018.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_018.pg index dfef82b5ee..08394bfead 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_018.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_018.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -40,7 +40,7 @@ A photon of wavelength \($wavelength\) nm is incident on a hydrogen atom. When t $BR $BR -n = \{ans_rule(40)\} +n = \{ans_rule(40)\} $BR $BR diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_019.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_019.pg index 6ff4228a41..117f17bd78 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_019.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_019.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_020.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_020.pg index 6c19017cd1..fbfdbc1eb7 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_020.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_020.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -45,7 +45,7 @@ a) What is its ground-state radius? $BR $BR -\(a_0 / \)\{ans_rule(5)\} +\(a_0 / \)\{ans_rule(5)\} $BR $BR @@ -53,7 +53,7 @@ b) Calculate the energies of its four lowest energy states. $BR $BR -\{ans_rule(10)\} \(eV / n^2\) +\{ans_rule(10)\} \(eV / n^2\) $BR $BR @@ -61,7 +61,7 @@ c) Repeat the calculations for the \(Li^{2+}\) ion. $BR $BR -\(a_0 / \)\{ans_rule(5)\} +\(a_0 / \)\{ans_rule(5)\} $BR $BR diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_021.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_021.pg index 22fe4d99e8..c3087cf5f9 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_021.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_021.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -39,7 +39,7 @@ A triply ionized atom of beryllium \(Be^{3+}\) is a hydrogen-like ion. When \(Be $BR $BR -n = \{ans_rule(5)\} +n = \{ans_rule(5)\} $BR $BR diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_022.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_022.pg index 749e9a0830..b2c474b753 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_022.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_022.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -43,7 +43,7 @@ a) By what factor do the energies of the \(C^{5+}\) ion scale compare to the ene $BR $BR -\{ans_rule(40)\} +\{ans_rule(40)\} $BR $BR diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_023.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_023.pg index 37b4e79cc4..e68d938006 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_023.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_023.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_024.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_024.pg index 30db108694..4079dcbbee 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_024.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_024.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_025.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_025.pg index 949e562827..57f2ff46e6 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_025.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_025.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_026.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_026.pg index aac647fbb3..94e3af1854 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_026.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_026.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_027.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_027.pg index 5a7871f01a..9f99c70b17 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_027.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_027.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_028.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_028.pg index 2d4171ba24..9dd9e195c6 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_028.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_028.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_029.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_029.pg index b05f6c9f43..06a8cb5cf1 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_029.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_029.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_030.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_030.pg index adea9b82e1..3154579f72 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_030.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_030.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_031.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_031.pg index 1eb9829c70..88eea926b2 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_031.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_031.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_032.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_032.pg index 6a08f49f32..7eb2d902d4 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_032.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_032.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -38,7 +38,7 @@ Compare the wavelength shift of a photon scattered by a free electron to that of $BR $BR -Shift by a free electron is \{ans_rule(5)\} times the wavelength shift by a proton +Shift by a free electron is \{ans_rule(5)\} times the wavelength shift by a proton $BR $BR diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_033.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_033.pg index c2386d7bb8..c49a3298cc 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_033.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_033.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_034.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_034.pg index 9fa5b84244..3522e738f7 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_034.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_034.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_035.pg b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_035.pg index b42836ed89..0e847fbd93 100644 --- a/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_035.pg +++ b/Contrib/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_035.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Contrib/CCCS/AlgebraicLiteracy/Applications_Linear/Expression_1.pg b/Contrib/CCCS/AlgebraicLiteracy/Applications_Linear/Expression_1.pg index 40e814b301..2c9122a4ad 100644 --- a/Contrib/CCCS/AlgebraicLiteracy/Applications_Linear/Expression_1.pg +++ b/Contrib/CCCS/AlgebraicLiteracy/Applications_Linear/Expression_1.pg @@ -45,7 +45,7 @@ $ans = Formula("$a[$i]*x - $n")->reduce; # Main text BEGIN_PGML -Write an alebraic expression for the following phrase. Use [`x`] to represent the unknonwn number. +Write an alebraic expression for the following phrase. Use [`x`] to represent the unknown number. [`[$n]`] less than a [$phrase[$i]] times a number. diff --git a/Contrib/CCCS/AlgebraicLiteracy/Applications_Linear/Expression_2.pg b/Contrib/CCCS/AlgebraicLiteracy/Applications_Linear/Expression_2.pg index 66a28cee2a..7f7f89af2b 100644 --- a/Contrib/CCCS/AlgebraicLiteracy/Applications_Linear/Expression_2.pg +++ b/Contrib/CCCS/AlgebraicLiteracy/Applications_Linear/Expression_2.pg @@ -50,7 +50,7 @@ $ans4 = Formula("x - $a4")->reduce; # Main text BEGIN_PGML -Write an alebraic expression for each of the following phrases. Use [`x`] to represent the unknonwn number. +Write an alebraic expression for each of the following phrases. Use [`x`] to represent the unknown number. [`[$a1]`] more than a number. [_________________]{$ans1} [@ AnswerFormatHelp("numbers") @]* diff --git a/Contrib/CCCS/AlgebraicLiteracy/Applications_Linear/Expression_3.pg b/Contrib/CCCS/AlgebraicLiteracy/Applications_Linear/Expression_3.pg index 26ebca7268..91e8ccdbd8 100644 --- a/Contrib/CCCS/AlgebraicLiteracy/Applications_Linear/Expression_3.pg +++ b/Contrib/CCCS/AlgebraicLiteracy/Applications_Linear/Expression_3.pg @@ -54,7 +54,7 @@ $ans2 = Formula("$a2*x + $n2")->reduce; # Main text BEGIN_PGML -Write an alebraic expression for each of the following phrases. Use [`x`] to represent the unknonwn number. +Write an alebraic expression for each of the following phrases. Use [`x`] to represent the unknown number. [$phrase1] times the sum of a number and [`[$n1]`]. [_________________]{$ans1} [@ AnswerFormatHelp("numbers") @]* diff --git a/Contrib/CCCS/AlgebraicLiteracy/IA_2.4/OpenStax_IA_2.4_262.pg b/Contrib/CCCS/AlgebraicLiteracy/IA_2.4/OpenStax_IA_2.4_262.pg index e9c9ace052..3634d5aae2 100644 --- a/Contrib/CCCS/AlgebraicLiteracy/IA_2.4/OpenStax_IA_2.4_262.pg +++ b/Contrib/CCCS/AlgebraicLiteracy/IA_2.4/OpenStax_IA_2.4_262.pg @@ -53,7 +53,7 @@ BEGIN_PGML Carmen wants to tile the floor of his house. He will need [$t] square feet of tile. He will do most of the floor with a tile that costs $1.50 per square foot, but also wants to use an accent tile that costs $9.00 per square foot. How many square feet of each tile should he plan to use if he wants the overall cost to be $3 per square foot? -Sqaure feet of majority: [_________________]{$m} [@ AnswerFormatHelp("numbers") @]* +Square feet of majority: [_________________]{$m} [@ AnswerFormatHelp("numbers") @]* Square feet of accent: [_________________]{$a} [@ AnswerFormatHelp("numbers") @]* @@ -67,4 +67,4 @@ END_PGML COMMENT('MathObject version. Uses PGML.'); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/CCCS/AlgebraicLiteracy/IA_3.6/OpenStax_IA_3.6_379.pg b/Contrib/CCCS/AlgebraicLiteracy/IA_3.6/OpenStax_IA_3.6_379.pg index 22ba071d09..181dc2848b 100644 --- a/Contrib/CCCS/AlgebraicLiteracy/IA_3.6/OpenStax_IA_3.6_379.pg +++ b/Contrib/CCCS/AlgebraicLiteracy/IA_3.6/OpenStax_IA_3.6_379.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## +## ## ENDDESCRIPTION @@ -90,7 +90,7 @@ BEGIN_TEXT $BR $BR $BCENTER -\{ image( insertGraph($gr), +\{ image( insertGraph($gr), width=>400,height=>400,tex_size=>800 ) \} $BR (Click on graph to enlarge) @@ -103,15 +103,15 @@ Context()->normalStrings; BEGIN_PGML Use the graph to find the following. Give the domain and range in interval notation. -(a) [`f([$x1]) = `] [_______________]{$y1} [@ AnswerFormatHelp("numbers") @]* +(a) [`f([$x1]) = `] [_______________]{$y1} [@ AnswerFormatHelp("numbers") @]* -(b) [`f([$x2]) = `] [_______________]{$y2} [@ AnswerFormatHelp("numbers") @]* +(b) [`f([$x2]) = `] [_______________]{$y2} [@ AnswerFormatHelp("numbers") @]* -(c) [`f([$x3]) = `] [_______________]{$y3} [@ AnswerFormatHelp("numbers") @]* +(c) [`f([$x3]) = `] [_______________]{$y3} [@ AnswerFormatHelp("numbers") @]* -(d) Find the domain. Write it in interval notation. [________]{$domain} [@ AnswerFormatHelp("intervals") @]* +(d) Find the domain. Write it in interval notation. [________]{$domain} [@ AnswerFormatHelp("intervals") @]* -(e) Find the range. Write it in interval notation. [________]{$range} [@ AnswerFormatHelp("intervals") @]* +(e) Find the range. Write it in interval notation. [________]{$range} [@ AnswerFormatHelp("intervals") @]* END_PGML @@ -136,7 +136,7 @@ BEGIN_PGML_SOLUTION (d) The domain is the set of all inputs (x's) of this function. Reading the graph from left to right, I can see that the function is defined for [`[$e1] < x \le [$e2]`]. In interval notation this is [`[$domain]`]. Notice that there is an open circle at [`x=[$e1]`] so we use the < symbol and parentheses. There is a closed circle at [`x = [$e2]`] so we use the [`\le`] symbol and square brackets. -(e) The range is the set of all outputs (y's) of the function. Reading the graph from the botton to top, I can see that the function is defined for [`[$b] \le y < [$R]`]. In interval notation this is [`[$range]`]. +(e) The range is the set of all outputs (y's) of the function. Reading the graph from the bottom to top, I can see that the function is defined for [`[$b] \le y < [$R]`]. In interval notation this is [`[$range]`]. END_PGML_SOLUTION -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/CCCS/AlgebraicLiteracy/IA_3.6/OpenStax_IA_3.6_385.pg b/Contrib/CCCS/AlgebraicLiteracy/IA_3.6/OpenStax_IA_3.6_385.pg index 7955215483..d5a599150b 100644 --- a/Contrib/CCCS/AlgebraicLiteracy/IA_3.6/OpenStax_IA_3.6_385.pg +++ b/Contrib/CCCS/AlgebraicLiteracy/IA_3.6/OpenStax_IA_3.6_385.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## +## ## ENDDESCRIPTION @@ -80,7 +80,7 @@ BEGIN_TEXT $BR $BR $BCENTER -\{ image( insertGraph($gr), +\{ image( insertGraph($gr), width=>400,height=>400,tex_size=>800 ) \} $BR (Click on graph to enlarge) @@ -93,15 +93,15 @@ Context()->normalStrings; BEGIN_PGML Use the graph to find the following. Give the domain and range in interval notation. -(a) [`f(0) = `] [_______________]{$ans1} [@ AnswerFormatHelp("numbers") @]* +(a) [`f(0) = `] [_______________]{$ans1} [@ AnswerFormatHelp("numbers") @]* -(b) [`f(-[$a]) = `] [_______________]{$b} [@ AnswerFormatHelp("numbers") @]* +(b) [`f(-[$a]) = `] [_______________]{$b} [@ AnswerFormatHelp("numbers") @]* -(c) [`f([$a]) = `] [_______________]{$b} [@ AnswerFormatHelp("numbers") @]* +(c) [`f([$a]) = `] [_______________]{$b} [@ AnswerFormatHelp("numbers") @]* -(d) Find the domain. Write it in interval notation. [________]{$domain} [@ AnswerFormatHelp("intervals") @]* +(d) Find the domain. Write it in interval notation. [________]{$domain} [@ AnswerFormatHelp("intervals") @]* -(e) Find the range. Write it in interval notation. [________]{$range} [@ AnswerFormatHelp("intervals") @]* +(e) Find the range. Write it in interval notation. [________]{$range} [@ AnswerFormatHelp("intervals") @]* END_PGML @@ -126,8 +126,8 @@ BEGIN_PGML_SOLUTION (d) The domain is the set of all inputs (x's) of this function. Reading the graph from left to right, I can see that the function is defined for [`-[$a] \le x \le [$a]`]. In interval notation this is [`[$domain]`]. -(e) The range is the set of all outputs (y's) of the function. Reading the graph from the botton to top, I can see that the function is defined for [`[$b] \le y \le [$R]`]. In interval notation this is [`[$range]`]. +(e) The range is the set of all outputs (y's) of the function. Reading the graph from the bottom to top, I can see that the function is defined for [`[$b] \le y \le [$R]`]. In interval notation this is [`[$range]`]. END_PGML_SOLUTION -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/CCCS/AlgebraicLiteracy/IA_4.2/OpenStax_IA_4.2_116.pg b/Contrib/CCCS/AlgebraicLiteracy/IA_4.2/OpenStax_IA_4.2_116.pg index f4dd32993a..eaeca0d69c 100644 --- a/Contrib/CCCS/AlgebraicLiteracy/IA_4.2/OpenStax_IA_4.2_116.pg +++ b/Contrib/CCCS/AlgebraicLiteracy/IA_4.2/OpenStax_IA_4.2_116.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## +## ## ENDDESCRIPTION ## DBsubject(Algebra) @@ -74,7 +74,7 @@ y = the rate of the current When the boat is traveling with the current, its net speed is: x + y -When it is traveling against the curent, its net speed is: x - y +When it is traveling against the current, its net speed is: x - y Going with the current (downstream) [$m] miles was traveled in two hours. Since D = RT: @@ -110,5 +110,3 @@ END_PGML_SOLUTION COMMENT('MathObject version. Uses PGML.'); ENDDOCUMENT(); - - diff --git a/Contrib/CCCS/AlgebraicLiteracy/IA_4.2/OpenStax_IA_4.3_132.pg b/Contrib/CCCS/AlgebraicLiteracy/IA_4.2/OpenStax_IA_4.3_132.pg index e92c458fda..eacf4a97ed 100644 --- a/Contrib/CCCS/AlgebraicLiteracy/IA_4.2/OpenStax_IA_4.3_132.pg +++ b/Contrib/CCCS/AlgebraicLiteracy/IA_4.2/OpenStax_IA_4.3_132.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## +## ## ENDDESCRIPTION ## DBsubject(Algebra) @@ -86,7 +86,7 @@ The number of quarters is [`[$n]`] less than [$word[$i]] times the number of dim [`Q = [$m[$i]]D - [$n]`] -Use substitition: +Use substitution: [`0.25([$m[$i]]D - [$n]) + 0.1D = [$value]`] @@ -109,4 +109,3 @@ END_PGML_SOLUTION COMMENT('MathObject version. Uses PGML.'); ENDDOCUMENT(); - diff --git a/Contrib/CCCS/AlgebraicLiteracy/IA_6.1/OpenStax_IA_6.1_23.pg b/Contrib/CCCS/AlgebraicLiteracy/IA_6.1/OpenStax_IA_6.1_23.pg index 0378ef8637..fcc2c62229 100644 --- a/Contrib/CCCS/AlgebraicLiteracy/IA_6.1/OpenStax_IA_6.1_23.pg +++ b/Contrib/CCCS/AlgebraicLiteracy/IA_6.1/OpenStax_IA_6.1_23.pg @@ -3,7 +3,7 @@ ## DBsection() ## Institution(Red Rocks Community College) ## Author(Martha Stevens) -## +## ############################################## DOCUMENT(); @@ -26,7 +26,7 @@ Context()->variables->add(y =>'Real'); Context()->strings->add("cannot be factored"=>{}, "cannot be factored."=>{alias=>"cannot be factored"}); Context()->strings->add('prime'=>{}, 'it is prime'=>{alias=>'prime'}); -Context()->noreduce('(-x)-y', '(-x)+y'); +Context()->noreduce('(-x)-y', '(-x)+y'); # the GCF is a*x^n @@ -61,7 +61,7 @@ $ans = Formula("$gcf*($b*y^$p + x^$m + $c*x*y^$q)")->reduce; TEXT(beginproblem()); BEGIN_PGML -Factor the given polynomial +Factor the given polynomial [`[$question]=`] [___________________]{$ans} @@ -69,7 +69,7 @@ If the expression cannot be factored then answer with *prime*. END_PGML BEGIN_PGML_SOLUTION -We can divide all terms by [`[$a]`] and all terms have the variable [`x`]. The smallest power of x is [`x^[$n]`]. That makes the greatest common factor (GCF) [`[$gcf]`]. We can divde each term by the GCF to factor it out. +We can divide all terms by [`[$a]`] and all terms have the variable [`x`]. The smallest power of x is [`x^[$n]`]. That makes the greatest common factor (GCF) [`[$gcf]`]. We can divide each term by the GCF to factor it out. [``\frac{[$term1]}{[$gcf]}=[$ans1]``] diff --git a/Contrib/CCCS/AlgebraicLiteracy/IA_6.1/OpenStax_IA_6.1_25.pg b/Contrib/CCCS/AlgebraicLiteracy/IA_6.1/OpenStax_IA_6.1_25.pg index f2fa1525e0..674f5d2369 100644 --- a/Contrib/CCCS/AlgebraicLiteracy/IA_6.1/OpenStax_IA_6.1_25.pg +++ b/Contrib/CCCS/AlgebraicLiteracy/IA_6.1/OpenStax_IA_6.1_25.pg @@ -3,7 +3,7 @@ ## DBsection() ## Institution(Red Rocks Community College) ## Author(Martha Stevens) -## +## ############################################## DOCUMENT(); @@ -26,7 +26,7 @@ Context()->variables->add(a =>'Real', b => 'Real'); Context()->strings->add("cannot be factored"=>{}, "cannot be factored."=>{alias=>"cannot be factored"}); Context()->strings->add('prime'=>{}, 'it is prime'=>{alias=>'prime'}); -Context()->noreduce('(-x)-y', '(-x)+y'); +Context()->noreduce('(-x)-y', '(-x)+y'); # the GCF is Ca^m*b^n @@ -60,7 +60,7 @@ $ans = Formula("$gcf*($D*a*b^$p + $E*a^$q + b^$r)")->reduce; TEXT(beginproblem()); BEGIN_PGML -Factor the given polynomial +Factor the given polynomial [`[$question]=`] [___________________]{$ans} @@ -69,7 +69,7 @@ END_PGML ############################################## BEGIN_PGML_SOLUTION -We can divide all terms by [`[$C]`] and all terms have both the variables [`a`] and [`b`]. The smallest power of [`a`] is [`a^[$m]`] and the smallest power of [`b`] is [`b^[$n]`]. That makes the greatest common factor (GCF) [`[$gcf]`]. We can divde each term by the GCF to factor it out. +We can divide all terms by [`[$C]`] and all terms have both the variables [`a`] and [`b`]. The smallest power of [`a`] is [`a^[$m]`] and the smallest power of [`b`] is [`b^[$n]`]. That makes the greatest common factor (GCF) [`[$gcf]`]. We can divide each term by the GCF to factor it out. [``\frac{[$term1]}{[$gcf]}=[$ans1]``] diff --git a/Contrib/CCCS/AlgebraicLiteracy/IA_7.1/OpenStax_IA_7.1_21.pg b/Contrib/CCCS/AlgebraicLiteracy/IA_7.1/OpenStax_IA_7.1_21.pg index e20a007574..cb82101fce 100644 --- a/Contrib/CCCS/AlgebraicLiteracy/IA_7.1/OpenStax_IA_7.1_21.pg +++ b/Contrib/CCCS/AlgebraicLiteracy/IA_7.1/OpenStax_IA_7.1_21.pg @@ -25,7 +25,7 @@ loadMacros( "PGgraphmacros.pl", "PGcourse.pl", "contextRationalFunction.pl", - + ); ############################################## @@ -55,7 +55,7 @@ BEGIN_PGML Simplify the rational expression. [``[$g] = ``] [________]{$ans} - + END_PGML ############################################## @@ -63,7 +63,7 @@ END_PGML BEGIN_PGML_SOLUTION -Facor a -1 out of the numerator to get +Factor a -1 out of the numerator to get [`\displaystyle \frac{-1(-[$var] + [$a])}{[$a]-[$var]}`] @@ -71,4 +71,4 @@ Now we have a common factor of [`([$a] - [$var])`] and are left with [`[$ans]`]. END_PGML_SOLUTION -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/CCCS/AlgebraicLiteracy/IA_7.3/OpenStax_IA_7.3_163.pg b/Contrib/CCCS/AlgebraicLiteracy/IA_7.3/OpenStax_IA_7.3_163.pg index 987604cad9..9cb1c0c797 100644 --- a/Contrib/CCCS/AlgebraicLiteracy/IA_7.3/OpenStax_IA_7.3_163.pg +++ b/Contrib/CCCS/AlgebraicLiteracy/IA_7.3/OpenStax_IA_7.3_163.pg @@ -26,7 +26,7 @@ loadMacros( "PGcourse.pl", "contextRationalFunction.pl", "contextLimitedPolynomial.pl", - + ); ############################################## @@ -102,7 +102,7 @@ And combine like terms: [`` \frac{[$var]^3 - [$a][$var]^2 + [$last][$var]}{2[$var]^2} ``] -Finally we can factor a [$var] out the numberator. +Finally we can factor a [$var] out the numerator. [`` \frac{[$var]([$var]^2 - [$a][$var] + [$last])}{2[$var]^2} ``] @@ -112,4 +112,4 @@ There is a common factor of [$var] and the expression reduces to: END_PGML_SOLUTION -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/CCCS/AlgebraicLiteracy/IA_7.4/CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_213.pg b/Contrib/CCCS/AlgebraicLiteracy/IA_7.4/CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_213.pg index 8d8be87dad..ecbdfeaaf7 100644 --- a/Contrib/CCCS/AlgebraicLiteracy/IA_7.4/CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_213.pg +++ b/Contrib/CCCS/AlgebraicLiteracy/IA_7.4/CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_213.pg @@ -57,7 +57,7 @@ $coeff = 1 - $d + $e; $ans=($a-$d*$c+$e*$b)/(1-$d+$e); if ($ans == $b) {$ans1 = NONE;} -elsif ($ans == $c) {$ans1 = NONE;} +elsif ($ans == $c) {$ans1 = NONE;} elsif ( $ans ==($a-$d*$c+$e*$b)/(1-$d+$e)) {$ans1=($a-$d*$c+$e*$b)/(1-$d+$e);} ########################### @@ -65,7 +65,7 @@ elsif ( $ans ==($a-$d*$c+$e*$b)/(1-$d+$e)) {$ans1=($a-$d*$c+$e*$b)/(1-$d+$e);} BEGIN_PGML -Solve the rational equation. If there is more than one correct answer, enter a comma separated list. If there is no answer, enter "NONE". +Solve the rational equation. If there is more than one correct answer, enter a comma separated list. If there is no answer, enter "NONE". [`\dfrac{v-[$a]}{v^2-[$f]*v+[$g]} = \dfrac{[$d]}{v-[$b]} - \dfrac{[$e]}{v-[$c]}`] @@ -96,7 +96,7 @@ The LCD is [`[$lcd]`]. Multiply every term by the LCD to clear the fractions: [`v = [$ans]`] -Finally, make sure your solution doens't give give zeros in any of the denominators. This means [`v \ne [$c]`] and [`v \ne [$b]`]. +Finally, make sure your solution doesn't give give zeros in any of the denominators. This means [`v \ne [$c]`] and [`v \ne [$b]`]. [`v = [$ans1]`] @@ -104,4 +104,4 @@ END_PGML_SOLUTION COMMENT('MathObject version. Uses PGML.'); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/CCCS/CalculusOne/02.2/CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_76.pg b/Contrib/CCCS/CalculusOne/02.2/CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_76.pg index d88ed9f616..308b2244d2 100644 --- a/Contrib/CCCS/CalculusOne/02.2/CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_76.pg +++ b/Contrib/CCCS/CalculusOne/02.2/CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_76.pg @@ -22,7 +22,7 @@ loadMacros( "parserPopUp.pl", "MathObjects.pl", "PGgraphmacros.pl", - "PGcourse.pl", + "PGcourse.pl", "AnswerFormatHelp.pl", "PGML.pl", "PGcourse.pl", @@ -44,20 +44,20 @@ $showPartialCorrectAnswers = 1; Context("Numeric"); # having answers to 1 decimal places AND reduced -Context()->{format}{number} = "%.1f#"; +Context()->{format}{number} = "%.1f#"; $choice = random(1,4,1); # the leftside of the piecewise function -$a = non_zero_random (-3, 3, 1); # vertical reflection -$h = non_zero_random (-1, 1, 1); # horizontal translation +$a = non_zero_random (-3, 3, 1); # vertical reflection +$h = non_zero_random (-1, 1, 1); # horizontal translation $d = non_zero_random(-4, 4, 1); # vertical translation -$f_left = Formula("((x - $h)^2)/$a +$d")->reduce(); +$f_left = Formula("((x - $h)^2)/$a +$d")->reduce(); # the rightside of the piecewise function $b = non_zero_random(-4,4,1); #yint of line -$f_right = Formula("x+$b")->reduce(); +$f_right = Formula("x+$b")->reduce(); # $x is the x for the limit that exists - want to keep the vertex of the quadratic shown on the graph and want to have the quadratic and line not be equal here, otherwise two of the graphs appear the same to the student. do{$x = $h + random(0, 3, 1);}until((($x - $h)**2)/$a +$d !=$x+$b); @@ -108,7 +108,7 @@ $xmax = $xsorted[2]+2; $xgrid = $xmax - $xmin; -# This is always the answer +# This is always the answer $graph1 = init_graph($xmin,$ymin,$xmax,$ymax, axes=>[0,0], grid=>[$xgrid, $ygrid], @@ -170,8 +170,8 @@ if ($choice == 1) { ############################################################### BEGIN_PGML - -Which of the following graphs represents the graph of [`y = f(x)`] with properites `i` through `iv`? [@ $popup1->menu() @]* + +Which of the following graphs represents the graph of [`y = f(x)`] with properties `i` through `iv`? [@ $popup1->menu() @]* `i.` `\lim_{x \to [$x]} f(x) = [$L_x]` @@ -187,7 +187,7 @@ END_PGML if ($choice == 1) { BEGIN_PGML ->>A. [@ image(insertGraph($graph4), width=>300, height=>300), @]* B. [@ image(insertGraph($graph3), width=>300, height=>300), @]* << +>>A. [@ image(insertGraph($graph4), width=>300, height=>300), @]* B. [@ image(insertGraph($graph3), width=>300, height=>300), @]* << >>C. [@ image(insertGraph($graph2), width=>300, height=>300), @]* D. [@ image(insertGraph($graph1), width=>300, height=>300), @]* << END_PGML @@ -195,7 +195,7 @@ END_PGML } elsif ($choice == 2) { BEGIN_PGML ->>A. [@ image(insertGraph($graph3), width=>300, height=>300), @]* B. [@ image(insertGraph($graph2), width=>300, height=>300), @]* << +>>A. [@ image(insertGraph($graph3), width=>300, height=>300), @]* B. [@ image(insertGraph($graph2), width=>300, height=>300), @]* << >>C. [@ image(insertGraph($graph1), width=>300, height=>300), @]* D. [@ image(insertGraph($graph4), width=>300, height=>300), @]* << END_PGML @@ -203,14 +203,14 @@ END_PGML } elsif ($choice == 3) { BEGIN_PGML ->>A. [@ image(insertGraph($graph1), width=>300, height=>300), @]* B. [@ image(insertGraph($graph2), width=>300, height=>300), @]* << +>>A. [@ image(insertGraph($graph1), width=>300, height=>300), @]* B. [@ image(insertGraph($graph2), width=>300, height=>300), @]* << >>C. [@ image(insertGraph($graph4), width=>300, height=>300), @]* D. [@ image(insertGraph($graph3), width=>300, height=>300), @]* << END_PGML } else { BEGIN_PGML ->>A. [@ image(insertGraph($graph3), width=>300, height=>300), @]* B. [@ image(insertGraph($graph1), width=>300, height=>300), @]* << +>>A. [@ image(insertGraph($graph3), width=>300, height=>300), @]* B. [@ image(insertGraph($graph1), width=>300, height=>300), @]* << >>C. [@ image(insertGraph($graph4), width=>300, height=>300), @]* D. [@ image(insertGraph($graph2), width=>300, height=>300), @]* << END_PGML @@ -234,4 +234,3 @@ ANS( $popup1->cmp); COMMENT('MathObject version. Uses PGML.'); ENDDOCUMENT(); - diff --git a/Contrib/CCCS/CalculusOne/02.4/CCD_CCCS_Openstax_Calc1_C1-2016-002_04_157.pg b/Contrib/CCCS/CalculusOne/02.4/CCD_CCCS_Openstax_Calc1_C1-2016-002_04_157.pg index d1771f9f04..eda74a2996 100644 --- a/Contrib/CCCS/CalculusOne/02.4/CCD_CCCS_Openstax_Calc1_C1-2016-002_04_157.pg +++ b/Contrib/CCCS/CalculusOne/02.4/CCD_CCCS_Openstax_Calc1_C1-2016-002_04_157.pg @@ -22,7 +22,7 @@ loadMacros( "parserPopUp.pl", "MathObjects.pl", "PGgraphmacros.pl", - "PGcourse.pl", + "PGcourse.pl", "AnswerFormatHelp.pl", "PGML.pl", "PGcourse.pl", @@ -55,7 +55,7 @@ $f = Formula("x^3/(6*x*(x-$x0))"); $y = $f ->eval(x=>$x2); $m = 2; # slope -# This is the answer +# This is the answer $graph1 = init_graph(-8,-8,8,8,'axes'=>[0,0],'ticks'=>[16,16],'grid'=>[16,16],'size'=>[400,400]); $xL = $x0 - 0.000001; @@ -120,8 +120,8 @@ $graph4->gifName($graph4->gifName()."$in"); ############################################################### BEGIN_PGML - -Which of the following graphs represents the graph of [`y = f(x)`] with properites `i` through `vii`? [@ $popup1->menu() @]* + +Which of the following graphs represents the graph of [`y = f(x)`] with properties `i` through `vii`? [@ $popup1->menu() @]* `i.` The domain of `f` is [`(-\infty, \infty)`]. @@ -138,7 +138,7 @@ Which of the following graphs represents the graph of [`y = f(x)`] with properit `vii.` `\lim_{x \to -infty} f(x) = -infty` and `\lim_{x \to infty} f(x) = infty`. ->>A. [@ image(insertGraph($graph4), width=>200, height=>200), @]* B. [@ image(insertGraph($graph3), width=>200, height=>200), @]* << +>>A. [@ image(insertGraph($graph4), width=>200, height=>200), @]* B. [@ image(insertGraph($graph3), width=>200, height=>200), @]* << >>C. [@ image(insertGraph($graph2), width=>200, height=>200), @]* D. [@ image(insertGraph($graph1), width=>200, height=>200), @]* << END_PGML @@ -161,4 +161,3 @@ ANS( $popup1->cmp); COMMENT('MathObject version. Uses PGML.'); ENDDOCUMENT(); - diff --git a/Contrib/CCCS/CollegeAlgebra/5.1/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_14.pg b/Contrib/CCCS/CollegeAlgebra/5.1/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_14.pg index af896f9224..bcfba27a38 100644 --- a/Contrib/CCCS/CollegeAlgebra/5.1/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_14.pg +++ b/Contrib/CCCS/CollegeAlgebra/5.1/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_14.pg @@ -78,7 +78,7 @@ A quadratic function of the form [`f(x) = a(x-h)^2+k`] has a vertex at the point A quadratic function of the form [`f(x) = a(x-h)^2+k`] will have a minimum value if [`a`] is positive because that would mean the parabola faces upward. -A quadratic function of the form [`f(x) = a(x-h)^2+k`] will have a maxmimum value if [`a`] is negative because that would mean the parabola faces downward. +A quadratic function of the form [`f(x) = a(x-h)^2+k`] will have a maximum value if [`a`] is negative because that would mean the parabola faces downward. END_PGML_HINT #################### # Solution @@ -89,4 +89,4 @@ END_PGML_HINT COMMENT('MathObject version. Uses PGML.'); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/CCCS/CollegeAlgebra/5.6/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_13.pg b/Contrib/CCCS/CollegeAlgebra/5.6/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_13.pg index 655637758a..58c1971861 100644 --- a/Contrib/CCCS/CollegeAlgebra/5.6/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_13.pg +++ b/Contrib/CCCS/CollegeAlgebra/5.6/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_13.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## +## ## ENDDESCRIPTION @@ -65,11 +65,11 @@ $popup2 = PopUp( BEGIN_PGML -Let [`` f(x)=[$f] ``]. Find the domain, vertical asymptote(s), and horizontal asymptote. +Let [`` f(x)=[$f] ``]. Find the domain, vertical asymptote(s), and horizontal asymptote. + Domain: [______________________]{$ans1} [@ AnswerFormatHelp("intervals") @]* -+ Vertical Asymptote(s): [_______]{$popup1} [_______________]{$ans2} (Enter values as a comma separated list if more than one) [@ AnswerFormatHelp("numbers") @]* ++ Vertical Asymptote(s): [_______]{$popup1} [_______________]{$ans2} (Enter values as a comma separated list if more than one) [@ AnswerFormatHelp("numbers") @]* + Horizontal Asymptote: [_______]{$popup2} [_______________]{$ans3} [@ AnswerFormatHelp("numbers") @]* END_PGML @@ -84,9 +84,9 @@ A *horizontal asymptote* of a graph is a horizontal line [`y=b`] where the graph 2. Note any restrictions in the domain of the function. 3. Reduce the expression by canceling common factors in numerator and denominator if any. 4. Note any values that cause the denominator to be zero in this simplified version. These are where the vertical asymptotes occur. -5. Note any restrictions in the domain where asymptotes do not occur. Thes are removable discontinuities, or 'holes' in the graph. +5. Note any restrictions in the domain where asymptotes do not occur. These are removable discontinuities, or 'holes' in the graph. -6. The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator: +6. The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator: + if the degree of the numerator is less than the degree of the denominator then the horizontal asymptote is [`y=0`] + if the degree of the numerator is greater than the degree of the denominator by one then there is no horizontal asymptote and there is a slant asymptote. + if the degree of the numerator is equal to the degree of the denominator then the horizontal asymptote is [`y=\frac{a}{b}`], the ratio of leading coefficients. @@ -101,4 +101,4 @@ END_PGML_HINT COMMENT('MathObject version. Uses PGML.'); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/CCCS/CollegeAlgebra/Prerequisite_Review/CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_4_13.pg b/Contrib/CCCS/CollegeAlgebra/Prerequisite_Review/CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_4_13.pg index cf8e71697e..5454d1613c 100644 --- a/Contrib/CCCS/CollegeAlgebra/Prerequisite_Review/CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_4_13.pg +++ b/Contrib/CCCS/CollegeAlgebra/Prerequisite_Review/CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_4_13.pg @@ -61,7 +61,7 @@ $ans=Formula("$a*w^2 + ($b-$d+$e)*w + ($c-$f)")-> reduce; BEGIN_PGML -Find the difference of the two given polynomials. +Find the difference of the two given polynomials. [`([$g]) - ([$h])`] @@ -75,7 +75,7 @@ END_PGML #Hint BEGIN_PGML_HINT -Did you rememer to subtract every term of the second polynomial? +Did you remember to subtract every term of the second polynomial? END_PGML_HINT ############################ @@ -88,4 +88,3 @@ END_PGML_HINT COMMENT('MathObject version. Uses PGML.'); ENDDOCUMENT(); - diff --git a/Contrib/CCCS/PreCalculus/10.1/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_14.pg b/Contrib/CCCS/PreCalculus/10.1/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_14.pg index 19c8bfbc4a..af816fc0b9 100644 --- a/Contrib/CCCS/PreCalculus/10.1/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_14.pg +++ b/Contrib/CCCS/PreCalculus/10.1/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_14.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## +## ## ENDDESCRIPTION @@ -58,14 +58,14 @@ Context()->flags->set( # Main text BEGIN_PGML -Assume that angle [` \alpha `] is opposite side [`a`], angle [` \beta `] is opposite side [`b`], and angle [` \gamma `] is opposite side [`c`]. Determine whether there is no triangle, one triangle, or two triangles. Then solve the triangle(s) if possible, round answers to nearest tenth. Put "None" in any unecessary answer blanks. Trigonometric functions used in answer blanks in this question will be evaluated in degrees and angle answers should be entered in degrees.. +Assume that angle [` \alpha `] is opposite side [`a`], angle [` \beta `] is opposite side [`b`], and angle [` \gamma `] is opposite side [`c`]. Determine whether there is no triangle, one triangle, or two triangles. Then solve the triangle(s) if possible, round answers to nearest tenth. Put "None" in any unnecessary answer blanks. Trigonometric functions used in answer blanks in this question will be evaluated in degrees and angle answers should be entered in degrees.. -[`a = [$a]`], [`b=[$b]`], and [`\alpha=[$Alpha]^\circ`]. +[`a = [$a]`], [`b=[$b]`], and [`\alpha=[$Alpha]^\circ`]. Triangle one: [` \gamma = `] [_______________]{$ans_Gamma1} [@ AnswerFormatHelp("angles") @]* - + [` \beta = `] [_______________]{$ans_Beta1} [@ AnswerFormatHelp("angles") @]* [` c = `] [_______________]{$ans_c1} [@ AnswerFormatHelp("numbers") @]* @@ -73,7 +73,7 @@ Triangle one: Triangle two: [` \gamma = `] [_______________]{$ans_Gamma2} [@ AnswerFormatHelp("angles") @]* - + [` \beta = `] [_______________]{$ans_Beta2} [@ AnswerFormatHelp("angles") @]* [` c = `] [_______________]{$ans_c2} [@ AnswerFormatHelp("numbers") @]* @@ -92,4 +92,3 @@ END_PGML COMMENT('MathObject version. Uses PGML.'); ENDDOCUMENT(); - diff --git a/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Application_1.pg b/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Application_1.pg index aa3594ffb3..6da3247604 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Application_1.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Application_1.pg @@ -148,7 +148,7 @@ Key words to look for: Twice the sum of a number and [$a] is [`2(x + [$a])`] because the twice applies to the entire sum. -The sum of twice a number and [$a] is [`2x + [$a]`] becaue the twice only applies to the number x. +The sum of twice a number and [$a] is [`2x + [$a]`] because the twice only applies to the number x. The correct answers are [$answerstring]. END_PGML_SOLUTION diff --git a/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Expression_1.pg b/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Expression_1.pg index 74beb40912..84e3f4a76d 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Expression_1.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Expression_1.pg @@ -45,7 +45,7 @@ $ans = Formula("$a[$i]*x - $n")->reduce; # Main text BEGIN_PGML -Write an alebraic expression for the following phrase. Use [`x`] to represent the unknonwn number. +Write an alebraic expression for the following phrase. Use [`x`] to represent the unknown number. [`[$n]`] less than a [$phrase[$i]] times a number. diff --git a/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Expression_2.pg b/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Expression_2.pg index bb38e5a8a1..ce01fad162 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Expression_2.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Expression_2.pg @@ -50,7 +50,7 @@ $ans4 = Formula("x - $a4")->reduce; # Main text BEGIN_PGML -Write an alebraic expression for each of the following phrases. Use [`x`] to represent the unknonwn number. +Write an alebraic expression for each of the following phrases. Use [`x`] to represent the unknown number. [`[$a1]`] more than a number. [_________________]{$ans1} [@ AnswerFormatHelp("numbers") @]* diff --git a/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Expression_3.pg b/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Expression_3.pg index 8fc7a88150..0d832f6002 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Expression_3.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/Applications_Linear/Expression_3.pg @@ -54,7 +54,7 @@ $ans2 = Formula("$a2*x + $n2")->reduce; # Main text BEGIN_PGML -Write an alebraic expression for each of the following phrases. Use [`x`] to represent the unknonwn number. +Write an alebraic expression for each of the following phrases. Use [`x`] to represent the unknown number. [$phrase1] times the sum of a number and [`[$n1]`]. [_________________]{$ans1} [@ AnswerFormatHelp("numbers") @]* diff --git a/Contrib/CCCS/QuantitativeLiteracy/IA_3.6/OpenStax_IA_3.6_379.pg b/Contrib/CCCS/QuantitativeLiteracy/IA_3.6/OpenStax_IA_3.6_379.pg index 22ba071d09..181dc2848b 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/IA_3.6/OpenStax_IA_3.6_379.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/IA_3.6/OpenStax_IA_3.6_379.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## +## ## ENDDESCRIPTION @@ -90,7 +90,7 @@ BEGIN_TEXT $BR $BR $BCENTER -\{ image( insertGraph($gr), +\{ image( insertGraph($gr), width=>400,height=>400,tex_size=>800 ) \} $BR (Click on graph to enlarge) @@ -103,15 +103,15 @@ Context()->normalStrings; BEGIN_PGML Use the graph to find the following. Give the domain and range in interval notation. -(a) [`f([$x1]) = `] [_______________]{$y1} [@ AnswerFormatHelp("numbers") @]* +(a) [`f([$x1]) = `] [_______________]{$y1} [@ AnswerFormatHelp("numbers") @]* -(b) [`f([$x2]) = `] [_______________]{$y2} [@ AnswerFormatHelp("numbers") @]* +(b) [`f([$x2]) = `] [_______________]{$y2} [@ AnswerFormatHelp("numbers") @]* -(c) [`f([$x3]) = `] [_______________]{$y3} [@ AnswerFormatHelp("numbers") @]* +(c) [`f([$x3]) = `] [_______________]{$y3} [@ AnswerFormatHelp("numbers") @]* -(d) Find the domain. Write it in interval notation. [________]{$domain} [@ AnswerFormatHelp("intervals") @]* +(d) Find the domain. Write it in interval notation. [________]{$domain} [@ AnswerFormatHelp("intervals") @]* -(e) Find the range. Write it in interval notation. [________]{$range} [@ AnswerFormatHelp("intervals") @]* +(e) Find the range. Write it in interval notation. [________]{$range} [@ AnswerFormatHelp("intervals") @]* END_PGML @@ -136,7 +136,7 @@ BEGIN_PGML_SOLUTION (d) The domain is the set of all inputs (x's) of this function. Reading the graph from left to right, I can see that the function is defined for [`[$e1] < x \le [$e2]`]. In interval notation this is [`[$domain]`]. Notice that there is an open circle at [`x=[$e1]`] so we use the < symbol and parentheses. There is a closed circle at [`x = [$e2]`] so we use the [`\le`] symbol and square brackets. -(e) The range is the set of all outputs (y's) of the function. Reading the graph from the botton to top, I can see that the function is defined for [`[$b] \le y < [$R]`]. In interval notation this is [`[$range]`]. +(e) The range is the set of all outputs (y's) of the function. Reading the graph from the bottom to top, I can see that the function is defined for [`[$b] \le y < [$R]`]. In interval notation this is [`[$range]`]. END_PGML_SOLUTION -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/CCCS/QuantitativeLiteracy/IA_3.6/OpenStax_IA_3.6_385.pg b/Contrib/CCCS/QuantitativeLiteracy/IA_3.6/OpenStax_IA_3.6_385.pg index 7955215483..d5a599150b 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/IA_3.6/OpenStax_IA_3.6_385.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/IA_3.6/OpenStax_IA_3.6_385.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## +## ## ENDDESCRIPTION @@ -80,7 +80,7 @@ BEGIN_TEXT $BR $BR $BCENTER -\{ image( insertGraph($gr), +\{ image( insertGraph($gr), width=>400,height=>400,tex_size=>800 ) \} $BR (Click on graph to enlarge) @@ -93,15 +93,15 @@ Context()->normalStrings; BEGIN_PGML Use the graph to find the following. Give the domain and range in interval notation. -(a) [`f(0) = `] [_______________]{$ans1} [@ AnswerFormatHelp("numbers") @]* +(a) [`f(0) = `] [_______________]{$ans1} [@ AnswerFormatHelp("numbers") @]* -(b) [`f(-[$a]) = `] [_______________]{$b} [@ AnswerFormatHelp("numbers") @]* +(b) [`f(-[$a]) = `] [_______________]{$b} [@ AnswerFormatHelp("numbers") @]* -(c) [`f([$a]) = `] [_______________]{$b} [@ AnswerFormatHelp("numbers") @]* +(c) [`f([$a]) = `] [_______________]{$b} [@ AnswerFormatHelp("numbers") @]* -(d) Find the domain. Write it in interval notation. [________]{$domain} [@ AnswerFormatHelp("intervals") @]* +(d) Find the domain. Write it in interval notation. [________]{$domain} [@ AnswerFormatHelp("intervals") @]* -(e) Find the range. Write it in interval notation. [________]{$range} [@ AnswerFormatHelp("intervals") @]* +(e) Find the range. Write it in interval notation. [________]{$range} [@ AnswerFormatHelp("intervals") @]* END_PGML @@ -126,8 +126,8 @@ BEGIN_PGML_SOLUTION (d) The domain is the set of all inputs (x's) of this function. Reading the graph from left to right, I can see that the function is defined for [`-[$a] \le x \le [$a]`]. In interval notation this is [`[$domain]`]. -(e) The range is the set of all outputs (y's) of the function. Reading the graph from the botton to top, I can see that the function is defined for [`[$b] \le y \le [$R]`]. In interval notation this is [`[$range]`]. +(e) The range is the set of all outputs (y's) of the function. Reading the graph from the bottom to top, I can see that the function is defined for [`[$b] \le y \le [$R]`]. In interval notation this is [`[$range]`]. END_PGML_SOLUTION -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/CCCS/QuantitativeLiteracy/IA_4.2/OpenStax_IA_4.2_116.pg b/Contrib/CCCS/QuantitativeLiteracy/IA_4.2/OpenStax_IA_4.2_116.pg index f4dd32993a..eaeca0d69c 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/IA_4.2/OpenStax_IA_4.2_116.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/IA_4.2/OpenStax_IA_4.2_116.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## +## ## ENDDESCRIPTION ## DBsubject(Algebra) @@ -74,7 +74,7 @@ y = the rate of the current When the boat is traveling with the current, its net speed is: x + y -When it is traveling against the curent, its net speed is: x - y +When it is traveling against the current, its net speed is: x - y Going with the current (downstream) [$m] miles was traveled in two hours. Since D = RT: @@ -110,5 +110,3 @@ END_PGML_SOLUTION COMMENT('MathObject version. Uses PGML.'); ENDDOCUMENT(); - - diff --git a/Contrib/CCCS/QuantitativeLiteracy/IA_4.2/OpenStax_IA_4.3_132.pg b/Contrib/CCCS/QuantitativeLiteracy/IA_4.2/OpenStax_IA_4.3_132.pg index e92c458fda..eacf4a97ed 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/IA_4.2/OpenStax_IA_4.3_132.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/IA_4.2/OpenStax_IA_4.3_132.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## +## ## ENDDESCRIPTION ## DBsubject(Algebra) @@ -86,7 +86,7 @@ The number of quarters is [`[$n]`] less than [$word[$i]] times the number of dim [`Q = [$m[$i]]D - [$n]`] -Use substitition: +Use substitution: [`0.25([$m[$i]]D - [$n]) + 0.1D = [$value]`] @@ -109,4 +109,3 @@ END_PGML_SOLUTION COMMENT('MathObject version. Uses PGML.'); ENDDOCUMENT(); - diff --git a/Contrib/CCCS/QuantitativeLiteracy/IA_6.1/OpenStax_IA_6.1_23.pg b/Contrib/CCCS/QuantitativeLiteracy/IA_6.1/OpenStax_IA_6.1_23.pg index 0378ef8637..fcc2c62229 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/IA_6.1/OpenStax_IA_6.1_23.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/IA_6.1/OpenStax_IA_6.1_23.pg @@ -3,7 +3,7 @@ ## DBsection() ## Institution(Red Rocks Community College) ## Author(Martha Stevens) -## +## ############################################## DOCUMENT(); @@ -26,7 +26,7 @@ Context()->variables->add(y =>'Real'); Context()->strings->add("cannot be factored"=>{}, "cannot be factored."=>{alias=>"cannot be factored"}); Context()->strings->add('prime'=>{}, 'it is prime'=>{alias=>'prime'}); -Context()->noreduce('(-x)-y', '(-x)+y'); +Context()->noreduce('(-x)-y', '(-x)+y'); # the GCF is a*x^n @@ -61,7 +61,7 @@ $ans = Formula("$gcf*($b*y^$p + x^$m + $c*x*y^$q)")->reduce; TEXT(beginproblem()); BEGIN_PGML -Factor the given polynomial +Factor the given polynomial [`[$question]=`] [___________________]{$ans} @@ -69,7 +69,7 @@ If the expression cannot be factored then answer with *prime*. END_PGML BEGIN_PGML_SOLUTION -We can divide all terms by [`[$a]`] and all terms have the variable [`x`]. The smallest power of x is [`x^[$n]`]. That makes the greatest common factor (GCF) [`[$gcf]`]. We can divde each term by the GCF to factor it out. +We can divide all terms by [`[$a]`] and all terms have the variable [`x`]. The smallest power of x is [`x^[$n]`]. That makes the greatest common factor (GCF) [`[$gcf]`]. We can divide each term by the GCF to factor it out. [``\frac{[$term1]}{[$gcf]}=[$ans1]``] diff --git a/Contrib/CCCS/QuantitativeLiteracy/IA_6.1/OpenStax_IA_6.1_25.pg b/Contrib/CCCS/QuantitativeLiteracy/IA_6.1/OpenStax_IA_6.1_25.pg index f2fa1525e0..674f5d2369 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/IA_6.1/OpenStax_IA_6.1_25.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/IA_6.1/OpenStax_IA_6.1_25.pg @@ -3,7 +3,7 @@ ## DBsection() ## Institution(Red Rocks Community College) ## Author(Martha Stevens) -## +## ############################################## DOCUMENT(); @@ -26,7 +26,7 @@ Context()->variables->add(a =>'Real', b => 'Real'); Context()->strings->add("cannot be factored"=>{}, "cannot be factored."=>{alias=>"cannot be factored"}); Context()->strings->add('prime'=>{}, 'it is prime'=>{alias=>'prime'}); -Context()->noreduce('(-x)-y', '(-x)+y'); +Context()->noreduce('(-x)-y', '(-x)+y'); # the GCF is Ca^m*b^n @@ -60,7 +60,7 @@ $ans = Formula("$gcf*($D*a*b^$p + $E*a^$q + b^$r)")->reduce; TEXT(beginproblem()); BEGIN_PGML -Factor the given polynomial +Factor the given polynomial [`[$question]=`] [___________________]{$ans} @@ -69,7 +69,7 @@ END_PGML ############################################## BEGIN_PGML_SOLUTION -We can divide all terms by [`[$C]`] and all terms have both the variables [`a`] and [`b`]. The smallest power of [`a`] is [`a^[$m]`] and the smallest power of [`b`] is [`b^[$n]`]. That makes the greatest common factor (GCF) [`[$gcf]`]. We can divde each term by the GCF to factor it out. +We can divide all terms by [`[$C]`] and all terms have both the variables [`a`] and [`b`]. The smallest power of [`a`] is [`a^[$m]`] and the smallest power of [`b`] is [`b^[$n]`]. That makes the greatest common factor (GCF) [`[$gcf]`]. We can divide each term by the GCF to factor it out. [``\frac{[$term1]}{[$gcf]}=[$ans1]``] diff --git a/Contrib/CCCS/QuantitativeLiteracy/IA_7.3/OpenStax_IA_7.3_163.pg b/Contrib/CCCS/QuantitativeLiteracy/IA_7.3/OpenStax_IA_7.3_163.pg index b6857aafa2..772c2b36c1 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/IA_7.3/OpenStax_IA_7.3_163.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/IA_7.3/OpenStax_IA_7.3_163.pg @@ -26,7 +26,7 @@ loadMacros( "PGcourse.pl", "contextRationalFunction.pl", "contextLimitedPolynomial.pl", - + ); ############################################## @@ -102,7 +102,7 @@ And combine like terms: [`` \frac{[$var]^3 - [$a][$var]^2 + [$last][$var]}{2[$var]^2} ``] -Finally we can factor a [$var] out the numberator. +Finally we can factor a [$var] out the numerator. [`` \frac{[$var]([$var]^2 - [$a][$var] + [$last])}{2[$var]^2} ``] @@ -112,4 +112,4 @@ There is a common factor of [$var] and the expression reduces to: END_PGML_SOLUTION -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/CCCS/QuantitativeLiteracy/Ratios_and_Conversions/Ratios_4.pg b/Contrib/CCCS/QuantitativeLiteracy/Ratios_and_Conversions/Ratios_4.pg index f708ebe42a..795a1c5065 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/Ratios_and_Conversions/Ratios_4.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/Ratios_and_Conversions/Ratios_4.pg @@ -54,9 +54,9 @@ Find the unit price: `$[$e] ` for ` [$f] ` cans of soda. -Unit price: $[________]{$ans} per can +Unit price: $[________]{$ans} per can + - END_PGML ############################################## @@ -64,7 +64,7 @@ END_PGML BEGIN_PGML_SOLUTION -The unit price is the price per 1 can of soda. We need to divde [`$[$e]`] by [`[$f]`] to find the unit price. +The unit price is the price per 1 can of soda. We need to divide [`$[$e]`] by [`[$f]`] to find the unit price. [``\frac{[$e]}{[$f]}=\frac{[$a]}{[$b]} = [$ans]``] @@ -72,7 +72,3 @@ The unit price is [`$[$ans]`] per can of soda. END_PGML_SOLUTION ENDDOCUMENT(); - - - - diff --git a/Contrib/CCCS/QuantitativeLiteracy/Ratios_and_Conversions/Ratios_5.pg b/Contrib/CCCS/QuantitativeLiteracy/Ratios_and_Conversions/Ratios_5.pg index 9ec4a4e163..38ae02eb20 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/Ratios_and_Conversions/Ratios_5.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/Ratios_and_Conversions/Ratios_5.pg @@ -54,9 +54,9 @@ Find the unit price: `[$f] ` pound bag of pistachios for `$[$e]`. -Unit price: $[________]{$ans} per pound +Unit price: $[________]{$ans} per pound + - END_PGML ############################################## @@ -64,7 +64,7 @@ END_PGML BEGIN_PGML_SOLUTION -The unit price is the price per 1 pound of pistachios. We need to divde [`$[$e]`] by [`[$f]`] to find the unit price. +The unit price is the price per 1 pound of pistachios. We need to divide [`$[$e]`] by [`[$f]`] to find the unit price. [``\frac{[$e]}{[$f]}=\frac{[$a]}{[$b]} = [$ans]``] @@ -72,7 +72,3 @@ The unit price is [`$[$ans]`] per pound. END_PGML_SOLUTION ENDDOCUMENT(); - - - - diff --git a/Contrib/CCCS/QuantitativeLiteracy/Ratios_and_Conversions/Ratios_6.pg b/Contrib/CCCS/QuantitativeLiteracy/Ratios_and_Conversions/Ratios_6.pg index 80fde8322b..28e55c830c 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/Ratios_and_Conversions/Ratios_6.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/Ratios_and_Conversions/Ratios_6.pg @@ -53,9 +53,9 @@ Find the unit price: `[$b] ` ounce jar of jam for `$[$f]`. -Unit price: $[________]{$ans} per ounce +Unit price: $[________]{$ans} per ounce + - END_PGML ############################################## @@ -63,7 +63,7 @@ END_PGML BEGIN_PGML_SOLUTION -The unit price is the price per 1 ounce of jam. We need to divde [`$[$f]`] by [`[$b]`] to find the unit price. +The unit price is the price per 1 ounce of jam. We need to divide [`$[$f]`] by [`[$b]`] to find the unit price. [``\frac{[$f]}{[$b]} = [$ans]``] @@ -72,7 +72,3 @@ The unit price is [`$[$ans]`] per ounce. END_PGML_SOLUTION ENDDOCUMENT(); - - - - diff --git a/Contrib/CCCS/QuantitativeLiteracy/Solving_Equations/Linear_Equation_14.pg b/Contrib/CCCS/QuantitativeLiteracy/Solving_Equations/Linear_Equation_14.pg index 8ec695d82f..2612ec3c19 100644 --- a/Contrib/CCCS/QuantitativeLiteracy/Solving_Equations/Linear_Equation_14.pg +++ b/Contrib/CCCS/QuantitativeLiteracy/Solving_Equations/Linear_Equation_14.pg @@ -68,7 +68,7 @@ $ans = Fraction($d-$c*$a,$a+$b); BEGIN_PGML Solve the equation [`[$left]=[$d]`]. Write your answer as an integer or fraction. -[`[$x]=`] [_________________]{$ans} +[`[$x]=`] [_________________]{$ans} END_PGML @@ -85,7 +85,7 @@ Simplify the left side--distribute and combine like terms: [`[$combine] = [$d]`] -Then isolate the varialbe term. +Then isolate the variable term. [`[$ab][$x] = [$rhs]`] @@ -98,4 +98,4 @@ END_PGML_SOLUTION COMMENT('MathObject version. Uses PGML.'); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/CCCS/Trigonometry/10.1/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_14.pg b/Contrib/CCCS/Trigonometry/10.1/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_14.pg index 19c8bfbc4a..af816fc0b9 100644 --- a/Contrib/CCCS/Trigonometry/10.1/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_14.pg +++ b/Contrib/CCCS/Trigonometry/10.1/RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_14.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## +## ## ENDDESCRIPTION @@ -58,14 +58,14 @@ Context()->flags->set( # Main text BEGIN_PGML -Assume that angle [` \alpha `] is opposite side [`a`], angle [` \beta `] is opposite side [`b`], and angle [` \gamma `] is opposite side [`c`]. Determine whether there is no triangle, one triangle, or two triangles. Then solve the triangle(s) if possible, round answers to nearest tenth. Put "None" in any unecessary answer blanks. Trigonometric functions used in answer blanks in this question will be evaluated in degrees and angle answers should be entered in degrees.. +Assume that angle [` \alpha `] is opposite side [`a`], angle [` \beta `] is opposite side [`b`], and angle [` \gamma `] is opposite side [`c`]. Determine whether there is no triangle, one triangle, or two triangles. Then solve the triangle(s) if possible, round answers to nearest tenth. Put "None" in any unnecessary answer blanks. Trigonometric functions used in answer blanks in this question will be evaluated in degrees and angle answers should be entered in degrees.. -[`a = [$a]`], [`b=[$b]`], and [`\alpha=[$Alpha]^\circ`]. +[`a = [$a]`], [`b=[$b]`], and [`\alpha=[$Alpha]^\circ`]. Triangle one: [` \gamma = `] [_______________]{$ans_Gamma1} [@ AnswerFormatHelp("angles") @]* - + [` \beta = `] [_______________]{$ans_Beta1} [@ AnswerFormatHelp("angles") @]* [` c = `] [_______________]{$ans_c1} [@ AnswerFormatHelp("numbers") @]* @@ -73,7 +73,7 @@ Triangle one: Triangle two: [` \gamma = `] [_______________]{$ans_Gamma2} [@ AnswerFormatHelp("angles") @]* - + [` \beta = `] [_______________]{$ans_Beta2} [@ AnswerFormatHelp("angles") @]* [` c = `] [_______________]{$ans_c2} [@ AnswerFormatHelp("numbers") @]* @@ -92,4 +92,3 @@ END_PGML COMMENT('MathObject version. Uses PGML.'); ENDDOCUMENT(); - diff --git a/Contrib/CUNY/OPLremix/Library/Rochester/setIntegrals0Theory/sc5_2_24_mo.pg b/Contrib/CUNY/OPLremix/Library/Rochester/setIntegrals0Theory/sc5_2_24_mo.pg index 28f21eab5a..98f8950e9f 100644 --- a/Contrib/CUNY/OPLremix/Library/Rochester/setIntegrals0Theory/sc5_2_24_mo.pg +++ b/Contrib/CUNY/OPLremix/Library/Rochester/setIntegrals0Theory/sc5_2_24_mo.pg @@ -8,7 +8,7 @@ ## DBchapter(Integrals) ## DBsection(Conceptual understanding of integration) ## Date(02/08/2010) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(integral_concept_areainterp) ## Level(2) @@ -56,7 +56,7 @@ loadMacros( "PGbasicmacros.pl", "PGanswermacros.pl", "PGauxiliaryFunctions.pl", -"MathObjects.pl", +"MathObjects.pl", "PGcourse.pl" # Customization file for the course ); @@ -95,4 +95,4 @@ ANS($ans->cmp); ; ; -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/CUNY/OPLremix/Library/Rochester/setIntegrals0Theory/sc5_2_28_mo.pg b/Contrib/CUNY/OPLremix/Library/Rochester/setIntegrals0Theory/sc5_2_28_mo.pg index 94fa1281e4..533ed2938a 100644 --- a/Contrib/CUNY/OPLremix/Library/Rochester/setIntegrals0Theory/sc5_2_28_mo.pg +++ b/Contrib/CUNY/OPLremix/Library/Rochester/setIntegrals0Theory/sc5_2_28_mo.pg @@ -8,7 +8,7 @@ ## DBchapter(Integrals) ## DBsection(Conceptual understanding of integration) ## Date(5/30/2005) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(integral_concept_areainterp) ## Level(2) @@ -46,7 +46,7 @@ loadMacros( "PGbasicmacros.pl", "PGanswermacros.pl", "PGauxiliaryFunctions.pl", -"MathObjects.pl", +"MathObjects.pl", "PGcourse.pl" # Customization file for the course ); @@ -77,7 +77,7 @@ Context()->texStrings; BEGIN_TEXT Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral -represents, and find the area using high school geometry. +represents, and find the area using high school geometry. $PAR \(\displaystyle \int_{0}^{$e} | $a x - $b | dx = \) \{ans_rule(20)\} diff --git a/Contrib/CUNY/OPLremix/Library/Rochester/setIntegrals3Definite/s4_4_21.pg b/Contrib/CUNY/OPLremix/Library/Rochester/setIntegrals3Definite/s4_4_21.pg index 4a9d4b8f7a..65c15bb1bb 100644 --- a/Contrib/CUNY/OPLremix/Library/Rochester/setIntegrals3Definite/s4_4_21.pg +++ b/Contrib/CUNY/OPLremix/Library/Rochester/setIntegrals3Definite/s4_4_21.pg @@ -8,7 +8,7 @@ ## DBchapter(Integrals) ## DBsection(Definite integrals (without trigonometric functions)) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(DefIntSymEvenQuadratic) ## MLTleader(1) @@ -69,17 +69,17 @@ EOT $ans = 4*$a1**3/3; ANS(num_cmp($ans)); -$num = 2*$a1**3; +$num = 2*$a1**3; SOLUTION(EV3(<<'EOF')); -$SOL $BR +$SOL $BR Since the function \(f(x)=$a2 - x^2\) is even, the integration from 0 to -$a1 and from 0 to $a1 are equal, therefore: -$BR $BR -\( \displaystyle \int_{-$a1}^{$a1} ($a2 -x^2) dx = 2 \int_{0}^{$a1} ($a2 -x^2) dx = +$BR $BR +\( \displaystyle \int_{-$a1}^{$a1} ($a2 -x^2) dx = 2 \int_{0}^{$a1} ($a2 -x^2) dx = -2 \left. \left($a2 x - \frac{x^3}{3}\right) \right|_ {0}^{$a1} = +2 \left. \left($a2 x - \frac{x^3}{3}\right) \right|_ {0}^{$a1} = -2 \left[ \left($a2 \cdot $a1- \frac{$a1^3}{3}\right) - (0-0) \right] = 2[\frac{$num}{3}] = $ans \) +2 \left[ \left($a2 \cdot $a1- \frac{$a1^3}{3}\right) - (0-0) \right] = 2[\frac{$num}{3}] = $ans \) $PAR $BBOLD Remark: $EBOLD Notice that you will get the same answer integrating from -$a1 to $a1. EOF diff --git a/Contrib/CUNY/OPLremix/Library/Utah/AP_Calculus_I/set11_Applications_of_Integration/p12-2.pg b/Contrib/CUNY/OPLremix/Library/Utah/AP_Calculus_I/set11_Applications_of_Integration/p12-2.pg index 074b58ac02..43af9b29ce 100644 --- a/Contrib/CUNY/OPLremix/Library/Utah/AP_Calculus_I/set11_Applications_of_Integration/p12-2.pg +++ b/Contrib/CUNY/OPLremix/Library/Utah/AP_Calculus_I/set11_Applications_of_Integration/p12-2.pg @@ -3,7 +3,7 @@ ## DBsubject(Calculus - single variable) ## DBchapter(Applications of integration) ## DBsection(Volumes by cylindrical shells) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(4) ## Static(1) @@ -36,7 +36,7 @@ that results. $BR $BR a) if \(y = \sin x - x \cos x \; \), \(\quad y' = \) \{ans_rule(35)\} -$BR +$BR $BR b) using part a), \(\displaystyle \int x \sin x \; dx = \) \{ans_rule(35)\} $BR diff --git a/Contrib/CUNY/OPLremix/Library/Utah/AP_Calculus_I/set5_The_Integral/q1.pg b/Contrib/CUNY/OPLremix/Library/Utah/AP_Calculus_I/set5_The_Integral/q1.pg index 5c37d97f3e..79dac0c7de 100644 --- a/Contrib/CUNY/OPLremix/Library/Utah/AP_Calculus_I/set5_The_Integral/q1.pg +++ b/Contrib/CUNY/OPLremix/Library/Utah/AP_Calculus_I/set5_The_Integral/q1.pg @@ -1,7 +1,7 @@ ## DBsubject(Algebra) ## DBchapter(Finite sequences and series) ## DBsection(Arithmetic) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(2) ## Static(1) @@ -33,8 +33,8 @@ $PAR where \(0[0,.9], mode=>"antider", vars=>"t")); TEXT(EV3(<<'EOT')); @@ -44,7 +44,7 @@ EOT SOLUTION(EV3(<<'EOT')); $BR $BBOLD Solution: $EBOLD - \( \cos^2(4t-1) = 1 - \sin^2(4t-1) \) and thus the integral given equals + \( \cos^2(4t-1) = 1 - \sin^2(4t-1) \) and thus the integral given equals \[ \int\frac{\sin(4t-1)}{\cos^2(4t-1)} \hbox{d} t = \frac{1}{4\cos(4t-1)}.\] diff --git a/Contrib/CUNY/OPLremix/Library/Utah/AP_Calculus_I/set9_Basic_Methods_of_Integration/1220s11p2.pg b/Contrib/CUNY/OPLremix/Library/Utah/AP_Calculus_I/set9_Basic_Methods_of_Integration/1220s11p2.pg index 10d2267202..5c3cfda64f 100644 --- a/Contrib/CUNY/OPLremix/Library/Utah/AP_Calculus_I/set9_Basic_Methods_of_Integration/1220s11p2.pg +++ b/Contrib/CUNY/OPLremix/Library/Utah/AP_Calculus_I/set9_Basic_Methods_of_Integration/1220s11p2.pg @@ -4,7 +4,7 @@ ## DBsubject(Calculus - single variable) ## DBchapter(Techniques of integration) ## DBsection(Substitution (with trigonometric functions)) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(2) ## Static(1) @@ -27,11 +27,11 @@ TEXT(beginproblem()); TEXT(EV2(<[1,3], mode=>"antider", vars=>"x")); diff --git a/Contrib/CUNY/OPLremix/Library/Utah/Business_Algebra/set4_Quadratic_and_Other_Special_Functions/p09.pg b/Contrib/CUNY/OPLremix/Library/Utah/Business_Algebra/set4_Quadratic_and_Other_Special_Functions/p09.pg index 25dd765d86..15ee5d2da1 100644 --- a/Contrib/CUNY/OPLremix/Library/Utah/Business_Algebra/set4_Quadratic_and_Other_Special_Functions/p09.pg +++ b/Contrib/CUNY/OPLremix/Library/Utah/Business_Algebra/set4_Quadratic_and_Other_Special_Functions/p09.pg @@ -1,7 +1,7 @@ ## DBsubject(Algebra) ## DBchapter(Functions) ## DBsection(Domain and range) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLTleader(1) ## MLT(algebra_functions_domain_range_linear_over_linear) @@ -43,7 +43,7 @@ TEXT(EV2(< 200, width => 900);\} +\{image("p3a.gif", height => 200, width => 900);\} shows the graph of the function $BR \(f(x)=\) \{ ans_rule(12) \}. @@ -42,12 +42,12 @@ TEXT(EV2(< 200, width => 900);\} +\{image("p3b.gif", height => 200, width => 900);\} shows the graph of the function $BR \(f(x)=\) \{ ans_rule(12) \}. $PAR -$BBOLD Note: $EBOLD there can be more than one correct answer. +$BBOLD Note: $EBOLD there can be more than one correct answer. EOT ANS(fun_cmp("-sin(x)", vars=>["x"])); diff --git a/Contrib/CollegeofIdaho/Statistics/set06CLT/Stats_08_CLT.pg b/Contrib/CollegeofIdaho/Statistics/set06CLT/Stats_08_CLT.pg index b107e43bdf..e0f77baf16 100644 --- a/Contrib/CollegeofIdaho/Statistics/set06CLT/Stats_08_CLT.pg +++ b/Contrib/CollegeofIdaho/Statistics/set06CLT/Stats_08_CLT.pg @@ -37,9 +37,9 @@ $BR ${BITALIC}(For the following problems enter: ${BBOLD}GREATER THAN ${EBOLD}, ${BBOLD}EQUAL TO${EBOLD}, ${BBOLD}LESS THAN ${EBOLD} or $BBOLD NOT ENOUGH INFORMATION ${EBOLD}.) $EITALIC $PAR -(a) The mean of the sampling distribution is \{ans_rule(20)\} the mean of the population. +(a) The mean of the sampling distribution is \{ans_rule(20)\} the mean of the population. $PAR -(b) The standard deviation of the sampling distribution is \{ans_rule(20)\} the standard deviation of the population. +(b) The standard deviation of the sampling distribution is \{ans_rule(20)\} the standard deviation of the population. END_TEXT ###################################### @@ -47,20 +47,20 @@ END_TEXT $showPartialCorrectAnswers = 0; -Context()->strings->add("GREATER THAN"=>{},"EQUAL TO"=>{}, +Context()->strings->add("GREATER THAN"=>{},"EQUAL TO"=>{}, "LESS THAN"=>{},"NOT ENOUGH INFORMATION"=>{}); -ANS(String("EQUAL TO")->cmp->withPostFilter(sub { - my $ans = shift; - $ans->{ans_message} = "Enter ${BBOLD}GREATER THAN$EBOLD, ${BBOLD}EQUAL TO$EBOLD, ${BBOLD}LESS THAN$EBOLD or ${BBOLD}NOT ENOUGH INFORMATION$EBOLD" - if $ans->{ans_message} =~ "not defined in this contex"; - return $ans; +ANS(String("EQUAL TO")->cmp->withPostFilter(sub { + my $ans = shift; + $ans->{ans_message} = "Enter ${BBOLD}GREATER THAN$EBOLD, ${BBOLD}EQUAL TO$EBOLD, ${BBOLD}LESS THAN$EBOLD or ${BBOLD}NOT ENOUGH INFORMATION$EBOLD" + if $ans->{ans_message} =~ "not defined in this context"; + return $ans; })); -ANS(String("LESS THAN")->cmp->withPostFilter(sub { - my $ans = shift; - $ans->{ans_message} = "Enter ${BBOLD}GREATER THAN$EBOLD, ${BBOLD}EQUAL TO$EBOLD, ${BBOLD}LESS THAN$EBOLD or ${BBOLD}NOT ENOUGH INFORMATION$EBOLD" - if $ans->{ans_message} =~ "not defined in this contex"; - return $ans; +ANS(String("LESS THAN")->cmp->withPostFilter(sub { + my $ans = shift; + $ans->{ans_message} = "Enter ${BBOLD}GREATER THAN$EBOLD, ${BBOLD}EQUAL TO$EBOLD, ${BBOLD}LESS THAN$EBOLD or ${BBOLD}NOT ENOUGH INFORMATION$EBOLD" + if $ans->{ans_message} =~ "not defined in this context"; + return $ans; })); ###################################### @@ -68,21 +68,9 @@ ANS(String("LESS THAN")->cmp->withPostFilter(sub { BEGIN_SOLUTION $BR -(a) The mean of the sampling distribution is ${BBOLD}EQUAL TO$EBOLD the mean of the population. +(a) The mean of the sampling distribution is ${BBOLD}EQUAL TO$EBOLD the mean of the population. $BR -(b) The standard deviation of the sampling distribution is ${BBOLD}LESS THAN$EBOLD the standard deviation of the population. +(b) The standard deviation of the sampling distribution is ${BBOLD}LESS THAN$EBOLD the standard deviation of the population. END_SOLUTION ENDDOCUMENT(); # This should be the last executable line in the problem. - - - - - - - - - - - - diff --git a/Contrib/CollegeofIdaho/Statistics/set07ConfIntOneMean/Stats_11_ConfIntOneMean.pg b/Contrib/CollegeofIdaho/Statistics/set07ConfIntOneMean/Stats_11_ConfIntOneMean.pg index 00fac0e3a3..446f799927 100644 --- a/Contrib/CollegeofIdaho/Statistics/set07ConfIntOneMean/Stats_11_ConfIntOneMean.pg +++ b/Contrib/CollegeofIdaho/Statistics/set07ConfIntOneMean/Stats_11_ConfIntOneMean.pg @@ -36,7 +36,7 @@ $skid = round($upper) + random(2,15,1); $correctb = "Yes. The data are slightly left-skewed, but given the sample size we can consider the normality condition to have been reasonably satisfied."; $mcb = new_multiple_choice(); - $mcb->qa("Has the normality condition been reasonably satisfied? Use R to graph the data, then answer the question.", $correctb); + $mcb->qa("Has the normality condition been reasonably satisfied? Use R to graph the data, then answer the question.", $correctb); $mcb->extra("Yes. The data are slightly right-skewed, but given the sample size we can consider the normality condition to have been reasonably satisfied.", "No. The data are strongly left-skewed, and given the sample size we should not consider the normality condition to have been reasonably satisfied.", "No. The data are strongly right-skewed, and given the sample size we should not consider the normality condition to have been reasonably satisfied.", "Yes. The data are approximately normally distributed." ); $correctc = "No"; @@ -47,9 +47,9 @@ $popupc = PopUp(["?", "No", "Yes"], $correctc); # Main text BEGIN_TEXT -In planning for a new forest road to be used for tree harvesting, planners must select the location that will minimize tractor skidding distance. In the ${BITALIC}Journal of Forest Engineering$EITALIC (July 1999), reserchers wanted to estimate the true mean skidding distance along a new road in a European forest. The skidding distances (in meters) were measured at \(20\) randomly selected road sites. These data are stored in the file $BBOLD SKIDDING.csv$EBOLD as the variable $BBOLD DISTANCE$EBOLD. +In planning for a new forest road to be used for tree harvesting, planners must select the location that will minimize tractor skidding distance. In the ${BITALIC}Journal of Forest Engineering$EITALIC (July 1999), researchers wanted to estimate the true mean skidding distance along a new road in a European forest. The skidding distances (in meters) were measured at \(20\) randomly selected road sites. These data are stored in the file $BBOLD SKIDDING.csv$EBOLD as the variable $BBOLD DISTANCE$EBOLD. $PAR -(a) Use ${BBOLD}R$EBOLD to estimate, with \($conf\)$PERCENT confidence, the true mean skidding distance of the road. +(a) Use ${BBOLD}R$EBOLD to estimate, with \($conf\)$PERCENT confidence, the true mean skidding distance of the road. $BR $SPACE $SPACE ${BITALIC}(Enter the smaller value in the left answer box.)$EITALIC $BR $SPACE $SPACE @@ -83,11 +83,11 @@ ANS( $popupc->cmp() ); BEGIN_SOLUTION $BR -(a) \($ans_a1\) to \($ans_a2\) +(a) \($ans_a1\) to \($ans_a2\) $BR -(b) ${BBOLD}\{ $mcb->correct_ans \}${EBOLD}. $correctb +(b) ${BBOLD}\{ $mcb->correct_ans \}${EBOLD}. $correctb $BR (c) ${BBOLD}\{ $popupc->correct_ans() \}${EBOLD}, $explainc END_SOLUTION -ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file +ENDDOCUMENT(); # This should be the last executable line in the problem. diff --git a/Contrib/DMOI/0-Introduction_and_Preliminaries/0_2-Mathematical_Statements/0_2_2.pg b/Contrib/DMOI/0-Introduction_and_Preliminaries/0_2-Mathematical_Statements/0_2_2.pg index 6f15563f85..5a490e9e63 100644 --- a/Contrib/DMOI/0-Introduction_and_Preliminaries/0_2-Mathematical_Statements/0_2_2.pg +++ b/Contrib/DMOI/0-Introduction_and_Preliminaries/0_2-Mathematical_Statements/0_2_2.pg @@ -36,12 +36,12 @@ TEXT(beginproblem()); ############################################################ # PG Setup ############################################################ -# Create and use pop up lists +# Create and use pop up lists $tf = new_pop_up_select_list(); # Specify choices presented to students -$tf -> ra_pop_up_list([No_answer => "?", - "atomic" => "atomic statement", - "conj" => "molecular statement: conjuction", +$tf -> ra_pop_up_list([No_answer => "?", + "atomic" => "atomic statement", + "conj" => "molecular statement: conjunction", "disj" => "molecular statement: disjunction", "cond" => "molecular statement: conditional", "bicond" => "molecular statement: biconditional", @@ -80,7 +80,7 @@ $tf -> choose(5); ############################################################ BEGIN_TEXT -Classify each of the sentences below as an atomic statement, a molecular statement, or not a statement at all. If the statement is molecular, say what kind it is (conjuction, disjunction, conditional, biconditional, negation). +Classify each of the sentences below as an atomic statement, a molecular statement, or not a statement at all. If the statement is molecular, say what kind it is (conjunction, disjunction, conditional, biconditional, negation). $BR \{ $tf -> print_q \} END_TEXT diff --git a/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-01.pg b/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-01.pg index 4df01dc56d..be66a7f327 100644 --- a/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-01.pg +++ b/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-01.pg @@ -1,5 +1,5 @@ ## DBsubject(Combinatorics) -## DBchapter(Coutning) +## DBchapter(Counting) ## DBsection(Principles (addition, subtraction, multiplication)) ## Level(6) ## KEYWORDS('counting','proof','combinatorial proof') @@ -29,13 +29,13 @@ $statement = "\($n + $n = 2\cdot $n\)"; @correct = ( ["How many two letter codes are there using only the first \($n\) letters of the alphabet, that start with either \(a\) or \(b\)?", - "there are \($n\) codes that start with \(a\), and another \($n\) codes that start with \(b\).", + "there are \($n\) codes that start with \(a\), and another \($n\) codes that start with \(b\).", "there are 2 choices for the first letter, and for each, \($n\) choices for the second letter."], ["How many outcomes are possible from flipping a coin and rolling a \($n\)-sidded die?", "there are \($n\) outcomes where the coin lands heads and another \($n\) outcomes where the coin lands tails.", "there are 2 choices for how the coin lands, and for each, there are \($n\) choices for how the die rolls."], ["How many single scoop ice cream cones are possible using \($n\) flavors of ice cream and either a suger cone or a waffle cone?", - "there are \($n\) cones you can get in a suger cone, and another \($n\) in a waffle cone.", + "there are \($n\) cones you can get in a suger cone, and another \($n\) in a waffle cone.", "you have two choices for the type of cone, and for each, \($n\) choices for the flavor of ice cream."], ); @@ -97,4 +97,4 @@ END_PGML ANS($Proof->cmp); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-02.pg b/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-02.pg index f6827e6552..ebc64f918e 100644 --- a/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-02.pg +++ b/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-02.pg @@ -1,5 +1,5 @@ ## DBsubject(Combinatorics) -## DBchapter(Coutning) +## DBchapter(Counting) ## DBsection(Principles (addition, subtraction, multiplication)) ## Level(6) ## KEYWORDS('counting','proof','combinatorial proof') @@ -29,14 +29,14 @@ $statement = "\(\binom{n + $y}{2} = \binom{n}{2} + \binom{$y}{2} + $y n\)"; @correct = ( ["How many 2-card hands can you select from a partial deck of cards that has \(n\) red cards and \($y\) black cards?", - "there are \(n + $y\) cards total, of which we must choose 2.", - "we could either choose 2 of the \(n\) red cards, or 2 of the \($y\) black cards, or one of each (chosing one of the \(n\) red cards for each of the \($y\) choices of black card)."], + "there are \(n + $y\) cards total, of which we must choose 2.", + "we could either choose 2 of the \(n\) red cards, or 2 of the \($y\) black cards, or one of each (choosing one of the \(n\) red cards for each of the \($y\) choices of black card)."], ["How many ways can you select two students to win a prize from among \(n\) math majors and $y history majors (assuming no double majors)?","there are a total of \(n+$y\) students, from which you must choose 2.","there are \(\binom{n}{2}\) ways to select two math majors, another \(\binom{$y}{2}\) ways to select two history majors, and \($y n\) ways to select one of each."], ["How many bowls of two different ice cream flavors could you order if you can choose from \(n\) flavors with nuts and $y flavors without nuts?", - "there are \(n+$y\) flavors all together, from which you must choose 2.", + "there are \(n+$y\) flavors all together, from which you must choose 2.", "there are \(\binom{n}{2}\) choices when both flavors have nuts, another \(\binom{$y}{2}\) when neither flavor has nuts, and \($y n\) choices when one has nuts and the other doesn't."], ["How many 2-topping pizzas are possible choosing from \(n\) meats and $y vegetables?", - "there are \(n+$y\) toppings all together, from which you must choose 2.", + "there are \(n+$y\) toppings all together, from which you must choose 2.", "there are \(\binom{n}{2}\) choices for two meats, another \(\binom{$y}{2}\) for vegetarian pizzas, and \($y n\) choices for a pizza that has one vegetable and one meat."], ["How many bit strings of length \(n+$y\) contain exactly two 1's?", "there are \(n+$y\) positions, from which you must choose two to put a 1.", @@ -97,4 +97,4 @@ END_PGML ANS($Proof->cmp); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-03.pg b/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-03.pg index 285d639948..608261ac9f 100644 --- a/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-03.pg +++ b/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-03.pg @@ -1,5 +1,5 @@ ## DBsubject(Combinatorics) -## DBchapter(Coutning) +## DBchapter(Counting) ## DBsection(Combinations) ## Level(4) ## KEYWORDS('counting','proof','combinatorial proof') @@ -75,10 +75,10 @@ BEGIN_PGML [@ $mc -> print_q() @]* [@ $mc -> print_a() @]* - + [@ $mc2 -> print_q() @]* [@ $mc2 -> print_a() @]* - + [@ $mc3 -> print_q() @]* [@ $mc3 -> print_a() @]* @@ -88,10 +88,10 @@ install_problem_grader(~~&std_problem_grader); $showPartialCorrectAnswers = 0; -ANS( +ANS( radio_cmp( $mc->correct_ans() ), - radio_cmp( $mc2->correct_ans() ), - radio_cmp( $mc3->correct_ans() ), + radio_cmp( $mc2->correct_ans() ), + radio_cmp( $mc3->correct_ans() ), ); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-04.pg b/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-04.pg index cf5b1e314a..4ddbaac261 100644 --- a/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-04.pg +++ b/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-04.pg @@ -1,5 +1,5 @@ ## DBsubject(Combinatorics) -## DBchapter(Coutning) +## DBchapter(Counting) ## DBsection(Combinations) ## Level(4) ## KEYWORDS('counting','proof','combinatorial proof') @@ -69,4 +69,4 @@ $showPartialCorrectAnswers = 0; ANS( checkbox_cmp( $mc->correct_ans() ) ); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-05.pg b/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-05.pg index 02d81ed6a7..36fb5dc886 100644 --- a/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-05.pg +++ b/Contrib/DMOI/1-Counting/1_4-Combinatorial_Proofs/1_4_extra-05.pg @@ -1,5 +1,5 @@ ## DBsubject(Combinatorics) -## DBchapter(Coutning) +## DBchapter(Counting) ## DBsection(Combinations) ## Level(4) ## KEYWORDS('counting','proof','combinatorial proof') @@ -45,7 +45,7 @@ $mc -> extra( $mc2 = new_checkbox_multiple_choice(); $mc2 -> qa ("Which of the following is a reasonable explanation for why this power of 2 is also a answer to the counting question(s)? $BR Select all that apply.", -"It is the number of bit stings of length $m of all weights. The last bit must be chosen so the total number of 1's is even.$BR", +"It is the number of bit strings of length $m of all weights. The last bit must be chosen so the total number of 1's is even.$BR", "It is the number subsets of \(\{1,2,3,\ldots,$m\}\). We either include or exclude $n to ensure an even number of elements. $BR" ); $mc2 -> extra( @@ -63,12 +63,12 @@ Consider the expression [$expression]. [@ $mc -> print_q() @]* [@ $mc -> print_a() @]* - Without computing the numerical value of the expression above, find a number [`n`] such that the experession is equal to [`2^n`]. + Without computing the numerical value of the expression above, find a number [`n`] such that the expression is equal to [`2^n`]. (You might want to replace [$n] with smaller numbers and look for a pattern.) [`n`] = [_______] - + [@ $mc2 -> print_q() @]* [@ $mc2 -> print_a() @]* @@ -78,10 +78,10 @@ install_problem_grader(~~&std_problem_grader); $showPartialCorrectAnswers = 0; -ANS( +ANS( checkbox_cmp( $mc->correct_ans() ), $m->cmp, - checkbox_cmp( $mc2->correct_ans() ) + checkbox_cmp( $mc2->correct_ans() ) ); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/DMOI/2-Sequences/2_3-Polynomial_Fitting/2_3_8.pg b/Contrib/DMOI/2-Sequences/2_3-Polynomial_Fitting/2_3_8.pg index 0dd2d5d7f8..a085558a98 100644 --- a/Contrib/DMOI/2-Sequences/2_3-Polynomial_Fitting/2_3_8.pg +++ b/Contrib/DMOI/2-Sequences/2_3-Polynomial_Fitting/2_3_8.pg @@ -57,8 +57,8 @@ $dn = Formula("$dnb*n + $dnc")->reduce; #################### BEGIN_PGML -Suppose -Suppose [`a_n = [$an]\text{.}`] Find a closed formula for the sequence of differences by computing [`a_n - a_{n-1}\text{.}`] Simplify your answer as much as posible. +Suppose +Suppose [`a_n = [$an]\text{.}`] Find a closed formula for the sequence of differences by computing [`a_n - a_{n-1}\text{.}`] Simplify your answer as much as possible. [`a_n - a_{n-1} = `] [____________]{$dn} @@ -69,11 +69,11 @@ END_PGML # Solution #################### BEGIN_PGML_SOLUTION -[`a_{n-1} = (n-1)^2 + [$b](n-1) + [$c] = [$an1]`]. Thus [`a_n - a_{n-1} = [$dn]\text{.}`] -Note that this is linear (arithmetic). +[`a_{n-1} = (n-1)^2 + [$b](n-1) + [$c] = [$an1]`]. Thus [`a_n - a_{n-1} = [$dn]\text{.}`] +Note that this is linear (arithmetic). END_PGML_SOLUTION #################### # End Problem #################### -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/DMOI/3-Symbolic_Logic_and_Proofs/3_2-Proofs/3_2_1.pg b/Contrib/DMOI/3-Symbolic_Logic_and_Proofs/3_2-Proofs/3_2_1.pg index 4a4fe49b3b..40f6fa15a6 100644 --- a/Contrib/DMOI/3-Symbolic_Logic_and_Proofs/3_2-Proofs/3_2_1.pg +++ b/Contrib/DMOI/3-Symbolic_Logic_and_Proofs/3_2-Proofs/3_2_1.pg @@ -61,8 +61,8 @@ $length = $Proof->numNeeded; BEGIN_PGML By dragging statements from the left column -to the right column below, construct a valide proof of the statement: - +to the right column below, construct a valid proof of the statement: + [$statement] The correct proof will use [$length] of the statements below. @@ -72,4 +72,4 @@ END_PGML ANS($Proof->cmp); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/DMOI/3-Symbolic_Logic_and_Proofs/3_2-Proofs/3_2_2.pg b/Contrib/DMOI/3-Symbolic_Logic_and_Proofs/3_2-Proofs/3_2_2.pg index df527b9fb7..4daff693e6 100644 --- a/Contrib/DMOI/3-Symbolic_Logic_and_Proofs/3_2-Proofs/3_2_2.pg +++ b/Contrib/DMOI/3-Symbolic_Logic_and_Proofs/3_2-Proofs/3_2_2.pg @@ -61,8 +61,8 @@ $length = $Proof->numNeeded; BEGIN_PGML By dragging statements from the left column -to the right column below, construct a valide proof of the statement: - +to the right column below, construct a valid proof of the statement: + [$statement] The correct proof will use [$length] of the statements below. @@ -72,4 +72,4 @@ END_PGML ANS($Proof->cmp); -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/Contrib/DMOI/4-Graph_Theory/4_5-Euler_Paths_and_Circuits/4_5_extra-9.pg b/Contrib/DMOI/4-Graph_Theory/4_5-Euler_Paths_and_Circuits/4_5_extra-9.pg index fb40ea3fc7..8f52321229 100644 --- a/Contrib/DMOI/4-Graph_Theory/4_5-Euler_Paths_and_Circuits/4_5_extra-9.pg +++ b/Contrib/DMOI/4-Graph_Theory/4_5-Euler_Paths_and_Circuits/4_5_extra-9.pg @@ -28,12 +28,12 @@ loadMacros( TEXT(beginproblem()); -# Create and use pop up lists +# Create and use pop up lists $tf = new_select_list(); $tf->rf_print_q(~~&pop_up_list_print_q); # Specify choices presented to students -$tf->ra_pop_up_list( +$tf->ra_pop_up_list( [ No_answer => "?", "T"=>"True", "F"=>"False"] ); $rodd = random(5,25,2); @@ -41,13 +41,13 @@ $r2 = random(5,20,1); $r3 = random(5,20,1); # Questions and answers -$tf -> qa ( +$tf -> qa ( "Every bipartite graph has an Euler circuit.", "F", "Every complete graph has an Euler circuit.", "F", "If a tree has an Euler path, then the maximum degree in the tree is 2.", "T", "Every graph with an Euler circuit has a Hamilton circuit", "F", "Every graph with a Hamilton circuit has an Euler circuit", "F", -"If a complte graph has an Euler circuit, then the graph has an odd number of vertices", "T", +"If a complete graph has an Euler circuit, then the graph has an odd number of vertices", "T", "There is a graph in which every vertex has odd degree that has a Hamilton circuit", "T", "If a graph has $rodd vertices and every vertex has the same degree, then the graph has an Euler circuit", "T", "If \( K_{m,n} \) has an Euler circuit, then \( m \) and \( n \) are both even.", "T", @@ -65,7 +65,7 @@ $tf->choose(5); BEGIN_TEXT -Are the following statements true or false? +Are the following statements true or false? $BR \{ $tf-> print_q \} END_TEXT diff --git a/Contrib/Utah/Intermediate_Algebra/1.6/pr2.pg b/Contrib/Utah/Intermediate_Algebra/1.6/pr2.pg index 09574f5976..aaab437503 100644 --- a/Contrib/Utah/Intermediate_Algebra/1.6/pr2.pg +++ b/Contrib/Utah/Intermediate_Algebra/1.6/pr2.pg @@ -5,7 +5,7 @@ ## DBsubject(Algebra) ## DBchapter(Algebra of real numbers and simplifying expressions) ## DBsection(Inequalities and intervals) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Interval_to_inequality) ## Level(3) @@ -51,9 +51,9 @@ $ansStr4 = EV2(" \(3 \leq x \lt 5\)"); TEXT(EV2(< 512, width => 512);\} +\{image("p14.gif", height => 512, width => 512);\} $BR The figure above shows the graphs of five functions, listed below. -Match the functions with the colors, using b for blue, r for red, g for green, +Match the functions with the colors, using b for blue, r for red, g for green, p for purple, and y for yellow. @@ -80,7 +80,7 @@ TEXT(EV3(<<'EOT')); $BR $BBOLD Hint:$EBOLD Logarithms are the inverses of the exponential functions. EOT -SOLUTION(EV3(<<'EOT')); +SOLUTION(EV3(<<'EOT')); $BR The Maple Statement $BR diff --git a/Contrib/Wiley/setAnton_Section_5.6/Anton_5_6_Q58.pg b/Contrib/Wiley/setAnton_Section_5.6/Anton_5_6_Q58.pg index 4fb3bbf28f..3651ee8e0a 100644 --- a/Contrib/Wiley/setAnton_Section_5.6/Anton_5_6_Q58.pg +++ b/Contrib/Wiley/setAnton_Section_5.6/Anton_5_6_Q58.pg @@ -7,7 +7,7 @@ ## DBchapter('Integration') ## DBsection('The Fundamental Theorem of Calculus') ## TitleText1('Calculus') -## EditionText1('9') +## EditionText1('9') ## AuthorText1('Anton') ## Section1('5.6') ## Problem1('58(a)') @@ -44,9 +44,9 @@ $F=$f->substitute(t=>'x',dt=>'1')->reduce; # Main text Context()->texStrings; BEGIN_TEXT -Use Part 2 of the Fundemental Theorem of Calculus to find the derivative.$PAR +Use Part 2 of the Fundamental Theorem of Calculus to find the derivative.$PAR -\(\displaystyle \frac{d}{dx}\int^{x}_{\frac{\pi}{$a}} $f\) \(=\) \{ans_rule(20) \} +\(\displaystyle \frac{d}{dx}\int^{x}_{\frac{\pi}{$a}} $f\) \(=\) \{ans_rule(20) \} $PAR END_TEXT @@ -62,7 +62,7 @@ Context()->texStrings; SOLUTION(EV3(<<'END_SOLUTION')); $PAR SOLUTION $PAR -Using Part 2 of the Fundemental Theorem of Calculus +Using Part 2 of the Fundamental Theorem of Calculus \[\displaystyle \frac{d}{dx}\int^{x}_{\frac{\pi}{$a}} $f=$F\] END_SOLUTION diff --git a/Contrib/Wiley/setAnton_Section_5.6/Anton_5_6_Q60.pg b/Contrib/Wiley/setAnton_Section_5.6/Anton_5_6_Q60.pg index 4430fd7291..1071def017 100644 --- a/Contrib/Wiley/setAnton_Section_5.6/Anton_5_6_Q60.pg +++ b/Contrib/Wiley/setAnton_Section_5.6/Anton_5_6_Q60.pg @@ -7,7 +7,7 @@ ## DBchapter('Integration') ## DBsection('The Fundamental Theorem of Calculus') ## TitleText1('Calculus') -## EditionText1('9') +## EditionText1('9') ## AuthorText1('Anton') ## Section1('5.6') ## Problem1('60(a)') @@ -43,9 +43,9 @@ $F=$f->substitute(t=>'x',dt=>'1'); # Main text Context()->texStrings; BEGIN_TEXT -Use Part 2 of the Fundemental Theorem of Calculus to find the derivative. +Use Part 2 of the Fundamental Theorem of Calculus to find the derivative. -\(\displaystyle \frac{d}{dx}\int^{x}_{$a} $f\) \(=\) \{ans_rule(20) \} +\(\displaystyle \frac{d}{dx}\int^{x}_{$a} $f\) \(=\) \{ans_rule(20) \} $PAR END_TEXT @@ -61,7 +61,7 @@ Context()->texStrings; SOLUTION(EV3(<<'END_SOLUTION')); $PAR SOLUTION $PAR -Using Part 2 of the Fundemental Theorem of Calculus +Using Part 2 of the Fundamental Theorem of Calculus $PAR \[\displaystyle \frac{d}{dx}\int^{x}_{$a} $f=$F\] diff --git a/OpenProblemLibrary/270/setDerivatives1/s2_1_19.pg b/OpenProblemLibrary/270/setDerivatives1/s2_1_19.pg index a323d57f31..6f2d79e4e8 100644 --- a/OpenProblemLibrary/270/setDerivatives1/s2_1_19.pg +++ b/OpenProblemLibrary/270/setDerivatives1/s2_1_19.pg @@ -8,7 +8,7 @@ ## DBchapter(Differentiation) ## DBsection(Derivatives of polynomials and power functions) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Poly_positive_exponent_eval) ## Level(2) diff --git a/OpenProblemLibrary/270/setIntegrals14Substitution/osu_in_14_10.pg b/OpenProblemLibrary/270/setIntegrals14Substitution/osu_in_14_10.pg index fc8fcc8c65..ac7dc87db2 100644 --- a/OpenProblemLibrary/270/setIntegrals14Substitution/osu_in_14_10.pg +++ b/OpenProblemLibrary/270/setIntegrals14Substitution/osu_in_14_10.pg @@ -7,7 +7,7 @@ ## DBsubject(Calculus - single variable) ## DBchapter(Techniques of integration) ## DBsection(Partial fractions) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Sub_method_test) ## Level(2) diff --git a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob1.pg b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob1.pg index 1f89aa5a6c..b0d1e75078 100644 --- a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob1.pg +++ b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob1.pg @@ -35,11 +35,11 @@ $c = random(1,11,1); $d = random(1,11,1); BEGIN_TEXT -This problem set demonstrates how you enter numerical answers into WeBWorK. +This problem set demonstrates how you enter numerical answers into WeBWorK. $PAR -In these problems you need to enter a number, since we're checking whether you can does these calculations. Do the calculation, then enter the correct numerical result in the box provided. +In these problems you need to enter a number, since we're checking whether you can does these calculations. Do the calculation, then enter the correct numerical result in the box provided. $PAR @@ -93,7 +93,7 @@ $PAR $HR $PAR -For some problems, you will be able to get WeBWorK to do some of the work for you. +For some problems, you will be able to get WeBWorK to do some of the work for you. $PAR @@ -123,7 +123,7 @@ $PAR You can enter this as sqrt(7), or as 7$CARET(1/2). This is because WeBWorK knows about standard calculations like square root, and that roots can -be represented using fractional exponents. You'll study this in detail very shortly. +be represented using fractional exponents. You'll study this in detail very shortly. $PAR @@ -145,7 +145,7 @@ ANS(num_cmp("sqrt(7)") ); BEGIN_TEXT -When it is very clear that only multiplication is involved, you can simpley write two characters together +When it is very clear that only multiplication is involved, you can simply write two characters together $PAR @@ -168,12 +168,12 @@ $PAR $HR $PAR -Think about the problem above. How sure are you that we should divide 5 by 3 then take the square root. If we are verablizing the process, we could say "divide 5 by 3 then take the square root of the result." It is a little longer to say, but very clear. In written math (symbology) sometimes you need to use ( )'s to make your meaning clear. +Think about the problem above. How sure are you that we should divide 5 by 3 then take the square root. If we are verablizing the process, we could say "divide 5 by 3 then take the square root of the result." It is a little longer to say, but very clear. In written math (symbology) sometimes you need to use ( )'s to make your meaning clear. $PAR E.g. 1/2+3 is 3.5, but 1/(2+3) is .2 Why? -Try entering both and use the ${LQ}Preview${RQ} button below to see the difference. In addition to ( )'s, you can also use [ ]'s and \(\lbrace \rbrace\). +Try entering both and use the ${LQ}Preview${RQ} button below to see the difference. In addition to ( )'s, you can also use [ ]'s and \(\lbrace \rbrace\). $PAR @@ -181,7 +181,7 @@ $PAR $PAR -Now go back to the previous problem and enter 2sqrt5/3 instead of 2sqrt(5/3). Use the ${LQ}Preview${RQ} button to see how WeBWorK interprets the symbology. +Now go back to the previous problem and enter 2sqrt5/3 instead of 2sqrt(5/3). Use the ${LQ}Preview${RQ} button to see how WeBWorK interprets the symbology. END_TEXT @@ -201,11 +201,11 @@ For example, if we want to know how much money you will have if you collect $DOL $PAR -When entering this value, you should just give 20000 (or 100*200). +When entering this value, you should just give 20000 (or 100*200). $PAR -When doing WeBWorK problems alsways look "outside the (answer) box." If the problems has units associated, they are usually provided. Don't include the stuff already provided outside the box! +When doing WeBWorK problems always look "outside the (answer) box." If the problems has units associated, they are usually provided. Don't include the stuff already provided outside the box! $PAR @@ -230,14 +230,14 @@ $BBOLD In general, there is no penalty for getting an answer wrong.$EBOLD If yo are limited in the number of attempts you get for a problem, you will be warned by the problem itself (this could happen, for example, on a true/false question). What counts is that you get the answer right -before the due date. +before the due date. $PAR $BBOLD However, $EBOLD even though you get a "correct" from WeBWorK, if that answer comes from an invalid mathematical process (in relation to your problem), your instructor will almost certainly catch it in written work! Be certain you understand the process and can write the steps for each problem answered in correctly. $PAR - + $BBOLD Remember: $EBOLD For complicated answers you should use the ${LQ}Preview${RQ} button to check for syntax errors and also to check that the answer you enter is really what you think it is. END_TEXT diff --git a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob1a.pg b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob1a.pg index 36e6d27920..a6d42cf571 100644 --- a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob1a.pg +++ b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob1a.pg @@ -27,7 +27,7 @@ BEGIN_TEXT This problem demonstrates how you enter function answers into WeBWorK. $PAR - + First enter the absolute value of -7 in the box below. $PAR @@ -51,14 +51,14 @@ BEGIN_TEXT $PAR $HR $PAR - + It is better to enter abs(x), even though WeBWorK will also accept abs x or even absx, because you are less likely to make a mistake. Try entering abs(2x) without the parentheses and you may be surprised at -what you get. Use the Preview button to see what you get. +what you get. Use the Preview button to see what you get. $PAR - + WeBWorK will evaluate standard calculations (such as abs or sqrt) before doing anything else, so abs 2x means first find the absolute value of 2 which gives abs(2) and then multiply by x. $PAR @@ -77,12 +77,12 @@ $PAR $HR $PAR -Now enter the calculation \(2\sqrt{ t}\) using 2sqrt(t). +Now enter the calculation \(2\sqrt{ t}\) using 2sqrt(t). \{ans_rule(35) \} $PAR -Note this uses the variable \(t\) and not \(x\). Try entering 2sqrt(x) and see what happens. Be carful to read the error statements in WeBWorK. They are trying to tell you where you made an error. +Note this uses the variable \(t\) and not \(x\). Try entering 2sqrt(x) and see what happens. Be careful to read the error statements in WeBWorK. They are trying to tell you where you made an error. $PAR diff --git a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob1b.pg b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob1b.pg index 8e7d98715b..d32e9b132e 100644 --- a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob1b.pg +++ b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob1b.pg @@ -25,14 +25,14 @@ $showPartialCorrectAnswers = 1; BEGIN_TEXT - + This problem will review $BBOLD order of operations,$EBOLD i.e. rules of precedence or order in which mathematical operations are performed. $PAR -The rules are simple. Exponentiation is always done before multiplication -and division, and multiplication and division are always done before addition -and subtraction. (Mathematically we say exponentiation takes precedence over +The rules are simple. Exponentiation is always done before multiplication +and division, and multiplication and division are always done before addition +and subtraction. (Mathematically we say exponentiation takes precedence over multiplication and division, etc.). For example what is 1+2*3? You can use parentheses (and also square brackets [ ] or curly braces \(\lbrace \rbrace\)) if you want to change the normal way operations work. $PAR @@ -74,14 +74,14 @@ $PAR Now sometimes you want to force things to be done in a different way. This is what parentheses are used for. - + $PAR - -$BBOLD Rule 1:$EBOLD Groups are simplified first. IE, Whatever is enclosed in parentheses (--), braces {--}, brackets [--], all in a numerator, all in a denominator, within an absolute value symbol |--|, or all under a radical \( \sqrt{x}\) are done before anything else (and things in the inner most parentheses are done first). + +$BBOLD Rule 1:$EBOLD Groups are simplified first. IE, Whatever is enclosed in parentheses (--), braces {--}, brackets [--], all in a numerator, all in a denominator, within an absolute value symbol |--|, or all under a radical \( \sqrt{x}\) are done before anything else (and things in the inner most parentheses are done first). $PAR -For example, simplfy the following expression yourself, then enter the expression in the box below: +For example, simplify the following expression yourself, then enter the expression in the box below: $PAR @@ -114,7 +114,7 @@ Here are some more examples: $PAR (Here we have used ** to denote exponentiation and you can also use this instead of a ${LQ}caret${RQ} if you want). Try entering some of these and use the "Preview" button to see the result. The "correct" -result for this answer blank is 36, but by using the ${LQ}Preview${RQ} button, you can enter whatever +result for this answer blank is 36, but by using the ${LQ}Preview${RQ} button, you can enter whatever you want and use WeBWorK as a hand calculator. $PAR @@ -135,36 +135,36 @@ BEGIN_TEXT $PAR -$BBOLD Rule 2:$EBOLD The correct order of evaluation is +$BBOLD Rule 2:$EBOLD The correct order of evaluation is > Roots and Powers (Exponents) > Division and Multiplication -> Subtractions and Additiion +> Subtractions and Addition Think! Correct order of operations goes from the hardest stuff (Roots) first to the easiest stuff (Addition) last. $PAR - + There is one other thing to be careful about. Multiplication and division have the same precedence. For example, what does 2/3*4 mean? (Note that / is the "division symbol", which is sometimes written as a line with two dots. Don't think of / as the horizontal line in a -fraction. Ask yourself what 1/2/2 should mean.) - +fraction. Ask yourself what 1/2/2 should mean.) + $PAR - -$BBOLD Rule 3:$EBOLD Multiplication and divsion are evaluated from left to right. - + +$BBOLD Rule 3:$EBOLD Multiplication and division are evaluated from left to right. + $PAR - + Example: 2/3*4 means (2/3)*4 = 8/3, IT DOES NOT MEAN 2/12. If you want 2/(3*4) = 2/12, you have to use parentheses. $PAR $BBOLD Rule 4:$EBOLD Addition and subtraction are evaluated from left to right. - + $PAR - -Example: The same thing happens with addition and subtraction as with multiplication and division. Notice 1-3+2 = 0, but 1-(3+2) = -4. + +Example: The same thing happens with addition and subtraction as with multiplication and division. Notice 1-3+2 = 0, but 1-(3+2) = -4. $PAR @@ -200,16 +200,16 @@ $BBOLD A Hand-in Assignment $EBOLD $PAR -Here's the link to the +Here's the link to the \{htmlLink(qq! http://webwork.asu.edu/availableFunctions.html!, "list of the functions") \} which WeBWorK understands. WeBWorK ALWAYS uses radian mode for trig functions. $PAR -$BBOLD 1. Click on the link. Print out this list and turn it in to your instructor before the due date of this assignment. +$BBOLD 1. Click on the link. Print out this list and turn it in to your instructor before the due date of this assignment. $PAR -2. On the back of the list of functions, write the rules for the correct order of operations. +2. On the back of the list of functions, write the rules for the correct order of operations. $PAR @@ -221,7 +221,7 @@ $PAR $PAR -4. Look up the word "function" in your textbook. Write a defintion for "function" and provide a simple example of the concept. +4. Look up the word "function" in your textbook. Write a definition for "function" and provide a simple example of the concept. $EBOLD diff --git a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob5.pg b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob5.pg index e4ba26f6ca..7dda4a789e 100644 --- a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob5.pg +++ b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/mat106prob5.pg @@ -34,7 +34,7 @@ $showPartialCorrectAnswers = 0; BEGIN_TEXT -In many problems we have more than one value to enter to create a correct answer. These are often called solution sets, but many times WeBworK describes them as "comma separated lists." +In many problems we have more than one value to enter to create a correct answer. These are often called solution sets, but many times WeBworK describes them as "comma separated lists." $PAR $HR @@ -44,11 +44,11 @@ $BBOLD A Review $EBOLD $PAR -When writing a solution set, or set in general, we begin with "\(\lbrace \)" and end with "\(\rbrace\)." However, to reduce the amount of typing in WeBWorK, we usually leave out the curly braces. +When writing a solution set, or set in general, we begin with "\(\lbrace \)" and end with "\(\rbrace\)." However, to reduce the amount of typing in WeBWorK, we usually leave out the curly braces. $PAR -Here is an example of the set of natural numbers between 3 and 10 written in proper set notation: +Here is an example of the set of natural numbers between 3 and 10 written in proper set notation: $PAR @@ -60,7 +60,7 @@ When entering a list, use a comma to separate each part of the answer. You may u $PAR -We might also write {$BITALIC x $EITALIC| 3 < $BITALIC x $EITALIC < 10 where $BITALIC x $EITALIC is a natural number}. These are writen in $BITALIC set builder notation. $EITALIC WeBWorK seldom if ever wants set builder notation. It is too difficult to program! +We might also write {$BITALIC x $EITALIC| 3 < $BITALIC x $EITALIC < 10 where $BITALIC x $EITALIC is a natural number}. These are written in $BITALIC set builder notation. $EITALIC WeBWorK seldom if ever wants set builder notation. It is too difficult to program! $PAR $HR @@ -88,7 +88,7 @@ for you. $PAR -END_TEXT +END_TEXT ANS(number_list_cmp("1^2, 2^2, 3^2" ) ); @@ -113,39 +113,39 @@ $PAR Describe the set of all real number between 3 and 10 using set builder and interval notations: $PAR -$BBOLD Set Builder: $EBOLD {$BITALIC x $EITALIC| 3 < $BITALIC x $EITALIC < 10}. Take a look at the answer here and compare it to the one above about the natural numbers. +$BBOLD Set Builder: $EBOLD {$BITALIC x $EITALIC| 3 < $BITALIC x $EITALIC < 10}. Take a look at the answer here and compare it to the one above about the natural numbers. $PAR -$BBOLD Interval Notation: $EBOLD (3, 10). WOW! That is so simple. However, we must be able to use every number from 3 to 10. So this could not be the solution set for +$BBOLD Interval Notation: $EBOLD (3, 10). WOW! That is so simple. However, we must be able to use every number from 3 to 10. So this could not be the solution set for "the set of natural numbers between 3 and 10." $PAR -$BBOLD With intervals, there is a difference between square brackets [ and ] (which mean to include the end point) and parentheses ( and ) (which mean to not include the end point), and you will need to get them right to have the interval correct. $EBOLD +$BBOLD With intervals, there is a difference between square brackets [ and ] (which mean to include the end point) and parentheses ( and ) (which mean to not include the end point), and you will need to get them right to have the interval correct. $EBOLD $PAR -WeBWorK can handle standard interval notation. In the problems below, we will describe a set in a couple of ways, and then show you how to enter it. Now we will enter a few intervals from the real line. +WeBWorK can handle standard interval notation. In the problems below, we will describe a set in a couple of ways, and then show you how to enter it. Now we will enter a few intervals from the real line. $PAR -Let's start with real numbers satisfying $SPACE \(2\le x <5\). +Let's start with real numbers satisfying $SPACE \(2\le x <5\). $PAR -The usual interval notation for this is $SPACE \( [2, 5) \). Enter it just as shown: \{ ans_rule(30) \}. +The usual interval notation for this is $SPACE \( [2, 5) \). Enter it just as shown: \{ ans_rule(30) \}. $PAR -Remember this! Practically no assignment in WeBWorK asks for an inequality as an answer (IE, \(2\le x <5\). This is because of the difficulty you would have in showing the "or equal to" part and the many ways you could correctly introduce spaces into the answer. +Remember this! Practically no assignment in WeBWorK asks for an inequality as an answer (IE, \(2\le x <5\). This is because of the difficulty you would have in showing the "or equal to" part and the many ways you could correctly introduce spaces into the answer. $PAR Note also, you can follow the usual WeBWorK conventions when entering the numbers in the interval, so you could also enter $SPACE [ sqrt(4), 2**2 + 1)! Try it. Previewing your answer can help here too if you are having -WeBWorK evaluate your answer. +WeBWorK evaluate your answer. END_TEXT @@ -194,7 +194,7 @@ Finally, sometimes intervals come in more than one piece. We call this kind of $PAR -For example, the inequality \( x^2 \ge 25 \) is true when \( x \ge 5 \) and also when \( x \le -5\). We somteimes say that the inequality is "satisfied" when values are chosen that are smaller than -5 or larger than 5 or equal to either -5 or 5. +For example, the inequality \( x^2 \ge 25 \) is true when \( x \ge 5 \) and also when \( x \le -5\). We somteimes say that the inequality is "satisfied" when values are chosen that are smaller than -5 or larger than 5 or equal to either -5 or 5. $PAR @@ -210,7 +210,7 @@ To type this into WeBWorK, we just use a capital U for the union symbol: $PAR -$BCENTER (-infinity, -5] U [5, infinity) $ECENTER +$BCENTER (-infinity, -5] U [5, infinity) $ECENTER @@ -220,19 +220,19 @@ So, enter \( (-\infty, -5] \cup [5, \infty) \) here: \{ ans_rule(30) \} $PAR -When using unions of intervals, the order of the intervals does not matter, so you could also enter [5, infinity) U (-infinity, -5]. However, remember within an individual interval we must always list form smallest to largest. Nothing is smaller than \( -\infty \) or larger than \( \infty \) . Try dragging and dropping this answer into the box above. The +When using unions of intervals, the order of the intervals does not matter, so you could also enter [5, infinity) U (-infinity, -5]. However, remember within an individual interval we must always list form smallest to largest. Nothing is smaller than \( -\infty \) or larger than \( \infty \) . Try dragging and dropping this answer into the box above. The $PAR END_TEXT - + ANS(interval_cmp("(-infinity, -5] U [5, infinity)")); ## First we set up our variables. $a = random(-10,-1,1); $b = random(3,10,1); $c = $a + 1; -$d = $b + 5; +$d = $b + 5; BEGIN_TEXT diff --git a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/prob1.pg b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/prob1.pg index 12d18bbe05..33c4732acd 100644 --- a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/prob1.pg +++ b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/prob1.pg @@ -49,7 +49,7 @@ ANS(num_cmp($ans, mode=>"strict")); BEGIN_TEXT $PAR In the case above you need to enter a number, since we're testing whether you can multiply -out these numbers. (You can use a calculator if you want.) +out these numbers. (You can use a calculator if you want.) $PAR $HR $PAR @@ -68,7 +68,7 @@ ANS(num_cmp($ans)); BEGIN_TEXT $PAR -The asterisk is what most computers use to denote multiplication and you can use this with WeBWorK. +The asterisk is what most computers use to denote multiplication and you can use this with WeBWorK. But WeBWorK will also allow you to use a space to denote multiplication. You can either \($a * $b\) or \{$a*$b\}. All will work. Try them. $PAR @@ -91,7 +91,7 @@ WeBWorK knows most of the standard mathematical functions. It can compute base 10 logarithms with log and natural logarithms with ln. If your course involves trigonometric functions, it can evaluate those as well. Note, for trig functions WeBWorK always uses radian mode. - Here's the + Here's the \{ htmlLink(qq!http://webwork.asu.edu/webwork_system_html/docs/availableFunctions.html!,"list of the functions") \} which WeBWorK understands, many of which you will not need for your course. $PAR @@ -105,7 +105,7 @@ BEGIN_TEXT You can also use juxtaposition to denote multiplication. E.g. enter \( 2\ln(5e/3) \). You can enter this as 2*ln(5*e/3) or more simply as 2ln(5e/3). Try it: -$BR +$BR \{ ans_rule(20) \}$PAR END_TEXT @@ -152,10 +152,10 @@ are limited in the number of attempts you get for a problem, you will be warned by the problem itself (this could happen, for example, on a true/false question). What counts is that you get the answer right eventually (before the due date). - + $PAR - -Rembember, for complicated answers you should use the ${LQ}Preview${RQ} + +Remember, for complicated answers you should use the ${LQ}Preview${RQ} button to check for syntax errors and also to check that the answer you enter is really what you think it is. diff --git a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/prob1b.pg b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/prob1b.pg index 307a974e8c..de92b732a5 100644 --- a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/prob1b.pg +++ b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/prob1b.pg @@ -25,15 +25,15 @@ $showPartialCorrectAnswers = 1; BEGIN_TEXT - + This problem will review the rules of precedence, i.e. the order in which mathematical operations are performed. You can use parentheses (and also square brackets [ ] and/or curly braces \(\lbrace \rbrace\)) if you want to change the normal way operations work.$PAR -The rules are simple. Exponentiation is always done before multiplication -and division, and multiplication and division are always done before addition -and subtraction. (Mathematically we say exponentiation takes precedence over +The rules are simple. Exponentiation is always done before multiplication +and division, and multiplication and division are always done before addition +and subtraction. (Mathematically we say exponentiation takes precedence over multiplication and division, etc.). For example what is 1+2*3? $BR $BBOLD Note: $EBOLD you must compute this number before entering it @@ -64,9 +64,9 @@ BEGIN_TEXT $PAR Now sometimes you want to force things to be done in a different way. This is -what parentheses are used for. The rule is: whatever is enclosed in +what parentheses are used for. The rule is: whatever is enclosed in parentheses is done before anything else (and things in the inner most -parentheses are done first). +parentheses are done first). For example, enter the following expression: \[ \frac {1+\log(3)}{2+\sqrt{5}} \] @@ -90,7 +90,7 @@ Here are some more examples: (2+3)**2 = 5**2 = 25, 3**(2+2) = 3**4 = 81 $BR (Here we have used ** to denote exponentiation and you can also use this instead of a ${LQ}caret${RQ} if you want). Try entering some of these and use the "Preview" button to see the result. The "correct" -result for this answer blank is 36, but by using the ${LQ}Preview${RQ} button, you can enter whatever +result for this answer blank is 36, but by using the ${LQ}Preview${RQ} button, you can enter whatever you want and use WeBWorK as a hand calculator.$BR \{ ans_rule(25) \} $PAR @@ -111,7 +111,7 @@ division have the same precedence. For example, what does 2/3*4 mean? (Note that / is the "division symbol", which is sometimes written as a line with two dots. Don't think of / as the horizontal line in a fraction. Ask yourself what 1/2/2 should mean.) Multiplication and -divsion are evaluated from left to right, i.e., 2/3*4 means (2/3)*4 or +division are evaluated from left to right, i.e., 2/3*4 means (2/3)*4 or 8/3, IT DOES NOT MEAN 2/12. If you want 2/(3*4) = 2/12, you have to use parentheses. diff --git a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/reading2.pg b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/reading2.pg index bf9a82ba77..650248dc7e 100644 --- a/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/reading2.pg +++ b/OpenProblemLibrary/ASU-topics/setIntroduction_to_WeBWorK/reading2.pg @@ -49,7 +49,7 @@ ANS(num_cmp($ans, mode=>"strict")); BEGIN_TEXT $PAR In the case above you need to enter a number, since we're testing whether you can multiply -out these numbers. (You can use a calculator if you want.) +out these numbers. (You can use a calculator if you want.) $PAR $HR $PAR @@ -68,7 +68,7 @@ ANS(num_cmp($ans)); BEGIN_TEXT $PAR -The asterisk is what most computers use to denote multiplication and you can use this with WeBWorK. +The asterisk is what most computers use to denote multiplication and you can use this with WeBWorK. But WeBWorK will also allow you to use a space to denote multiplication. You can either \($a * $b\) or \{$a*$b\}. All will work. Try them. $PAR @@ -91,7 +91,7 @@ WeBWorK knows most of the standard mathematical functions. It can compute base 10 logarithms with log and natural logarithms with ln. If your course involves trigonometric functions, it can evaluate those as well. Note, for trig functions WeBWorK always uses radian mode. - Here's the + Here's the \{ htmlLink(qq!http://webwork.asu.edu/webwork_system_html/docs/availableFunctions.html!,"list of the functions") \} which WeBWorK understands, many of which you will not need for your course. $PAR @@ -105,7 +105,7 @@ BEGIN_TEXT You can also use juxtaposition to denote multiplication. E.g. enter \( 2\ln(5e/3) \). You can enter this as 2*ln(5*e/3) or more simply as 2ln(5e/3). Try it: -$BR +$BR \{ ans_rule(20) \}$PAR END_TEXT @@ -152,10 +152,10 @@ are limited in the number of attempts you get for a problem, you will be warned by the problem itself (this could happen, for example, on a true/false question). What counts is that you get the answer right eventually (before the due date). - + $PAR - -Rembember, for complicated answers you should use the ${LQ}Preview${RQ} + +Remember, for complicated answers you should use the ${LQ}Preview${RQ} button to check for syntax errors and also to check that the answer you enter is really what you think it is. diff --git a/OpenProblemLibrary/ASU-topics/setLinesInPlane/srw1_10_17.pg b/OpenProblemLibrary/ASU-topics/setLinesInPlane/srw1_10_17.pg index d59e3fe1e5..6d34fb3529 100644 --- a/OpenProblemLibrary/ASU-topics/setLinesInPlane/srw1_10_17.pg +++ b/OpenProblemLibrary/ASU-topics/setLinesInPlane/srw1_10_17.pg @@ -8,7 +8,7 @@ ## DBchapter(Linear equations and functions) ## DBsection(Parallel and perpendicular lines) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Line_given_point_parralel_given_line) ## Level(2) @@ -46,7 +46,7 @@ $y1 = random(21,43,1); TEXT(EV2(<D('x')->eval(x => $x0); Context()->texStrings; BEGIN_TEXT The slope of the tangent line to the graph of -\( y = $f \) at the point \( ($x0 , $y0) \) is +\( y = $f \) at the point \( ($x0 , $y0) \) is \[ \lim _ {x \to $x0} \frac {$f - $y0}{x - $x0}. \] @@ -62,4 +62,3 @@ ANS($m0->cmp( ); ENDDOCUMENT(); - diff --git a/OpenProblemLibrary/ASU-topics/setSecondDerivative/osu_dr_10_1.pg b/OpenProblemLibrary/ASU-topics/setSecondDerivative/osu_dr_10_1.pg index d4ebb983ac..f8bcedcbb2 100644 --- a/OpenProblemLibrary/ASU-topics/setSecondDerivative/osu_dr_10_1.pg +++ b/OpenProblemLibrary/ASU-topics/setSecondDerivative/osu_dr_10_1.pg @@ -9,7 +9,7 @@ ## DBchapter(Applications of differentiation) ## DBsection(Summary of curve sketching) ## Date(1/17/2000) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(4) ## TitleText1('Calculus: Early Transcendentals') @@ -122,4 +122,3 @@ ANS(num_cmp("INF", strings=>['INF','MINF','NA'])); ANS(num_cmp($answ, strings=>['INF','MINF','NA'])); ENDDOCUMENT(); - diff --git a/OpenProblemLibrary/ASU-topics/setSecondDerivative/s3_4_10.pg b/OpenProblemLibrary/ASU-topics/setSecondDerivative/s3_4_10.pg index 00a96d7f4c..98eff8d695 100644 --- a/OpenProblemLibrary/ASU-topics/setSecondDerivative/s3_4_10.pg +++ b/OpenProblemLibrary/ASU-topics/setSecondDerivative/s3_4_10.pg @@ -8,7 +8,7 @@ ## DBchapter(Applications of differentiation) ## DBsection(Concavity and points of inflection) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(4) ## TitleText1('Calculus I') diff --git a/OpenProblemLibrary/ASU-topics/setSecondDerivative/sc4_3_10a.pg b/OpenProblemLibrary/ASU-topics/setSecondDerivative/sc4_3_10a.pg index 6540054e1d..1fa73bed1c 100644 --- a/OpenProblemLibrary/ASU-topics/setSecondDerivative/sc4_3_10a.pg +++ b/OpenProblemLibrary/ASU-topics/setSecondDerivative/sc4_3_10a.pg @@ -8,7 +8,7 @@ ## DBchapter(Applications of differentiation) ## DBsection(Concavity and points of inflection) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(4) ## TitleText1('Calculus') diff --git a/OpenProblemLibrary/ASU-topics/setStat/dueck1_5_1.pg b/OpenProblemLibrary/ASU-topics/setStat/dueck1_5_1.pg index 59c06d2fb6..e213b7b27e 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/dueck1_5_1.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/dueck1_5_1.pg @@ -30,7 +30,7 @@ TEXT(beginproblem()); $mc = new_multiple_choice(); $mc->qa("An experiment investigated the effect of length and repetition of TV ads on students choosing to eat at Del Taco. All 60 students watched a 40-minute television program that included ads for Del Taco. Some students saw a 30-second commercial; others a 90-second commercial. The same commercial was shown either 1, 3, or 5 times during the program. After the viewing, each student was asked to rate their craving for Del Taco on a scale of 0 to 10. What are the subjects of this experiment?", "60 students"); -$mc->extra("effect of length and repetion of TV ads", "40-minute television program", "craving for Del Taco on a scale of 0 to 10", "1, 3, or 5 commercials during the 40-minute television program"); +$mc->extra("effect of length and repetition of TV ads", "40-minute television program", "craving for Del Taco on a scale of 0 to 10", "1, 3, or 5 commercials during the 40-minute television program"); BEGIN_TEXT diff --git a/OpenProblemLibrary/Berkeley/StewCalcET7e/4.7/local-1210s7p15.pg b/OpenProblemLibrary/Berkeley/StewCalcET7e/4.7/local-1210s7p15.pg index a811f15eff..1d72aae7c9 100644 --- a/OpenProblemLibrary/Berkeley/StewCalcET7e/4.7/local-1210s7p15.pg +++ b/OpenProblemLibrary/Berkeley/StewCalcET7e/4.7/local-1210s7p15.pg @@ -6,7 +6,7 @@ ## DBsubject(Calculus - single variable) ## DBchapter(Applications of differentiation) ## DBsection(Optimization - general) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Optimization_Coating) ## Level(5) diff --git a/OpenProblemLibrary/Hope/Multi1/04-01-Linear-transformations/Lin_trans_20.pg b/OpenProblemLibrary/Hope/Multi1/04-01-Linear-transformations/Lin_trans_20.pg index 58afaf48aa..d2b92d7130 100644 --- a/OpenProblemLibrary/Hope/Multi1/04-01-Linear-transformations/Lin_trans_20.pg +++ b/OpenProblemLibrary/Hope/Multi1/04-01-Linear-transformations/Lin_trans_20.pg @@ -16,7 +16,7 @@ ## Problem1('') ## KEYWORDS('linear transformations') -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", @@ -61,7 +61,7 @@ $A = Matrix([ $X1 = Matrix([ -[ -1*$w[1] ], +[ -1*$w[1] ], [ $w[2] ] ]); @@ -114,12 +114,12 @@ Context()->texStrings; BEGIN_TEXT \{ BeginList('OL',type=>'a') \} $ITEM -Suppose \( f : \mathbb{R}^{2} \to \mathbb{R}^{3} \) is a linear transformation such that +Suppose \( f : \mathbb{R}^{2} \to \mathbb{R}^{3} \) is a linear transformation such that \[ f \left( \begin{array}{c} 1 \\ 0 \end{array} \right) = \left( \begin{array}{r} $a[1][1] \\ $a[2][1] \\ $a[3][1] \end{array} \right), -\ \ \ +\ \ \ f \left( \begin{array}{c} 0 \\ 1 \end{array} \right) = \left( \begin{array}{r} $a[1][2] \\ $a[2][2] \\ $a[3][2] \end{array} \right). @@ -128,17 +128,17 @@ Then \( \displaystyle f \left( \begin{array}{r} -$w[1] \\ $w[2] \end{array} \rig \{ $AX1->ans_array(10) \}. $ITEMSEP -$ITEM -Suppose \( f : \mathbb{R}^{12} \to \mathbb{R}^{2} \) is a linear transformation such that +$ITEM +Suppose \( f : \mathbb{R}^{12} \to \mathbb{R}^{2} \) is a linear transformation such that \[ f \left( \begin{array}{c} {$ve}_4 \end{array} \right) = \left( \begin{array}{r} $b[1][1] \\ $b[2][1] \end{array} \right), -\ \ \ +\ \ \ f \left( \begin{array}{c} {$ve}_7 \end{array} \right) = \left( \begin{array}{r} $b[1][2] \\ $b[2][2] \end{array} \right), -\ \ \ +\ \ \ f \left( \begin{array}{c} {$ve}_8 \end{array} \right) = \left( \begin{array}{r} $b[1][3] \\ $b[2][3] \end{array} \right). @@ -149,7 +149,7 @@ Then \( \displaystyle f ( $w[3] {$ve}_4 + $w[4] {$ve}_7 ) - f ( $w[5] {$ve}_8 + $ITEMSEP $ITEM Let \( V \) be a vector space and let \( {$vv}_1, {$vv}_2, {$vv}_3 \in V \). -Suppose \( T : V \to \mathbb{R}^{2} \) is a linear transformation such that +Suppose \( T : V \to \mathbb{R}^{2} \) is a linear transformation such that \[ T({$vv}_1) = \left( \begin{array}{r} $c[1][1] \\ $c[2][1] \end{array} \right), \ \ \ @@ -167,6 +167,6 @@ ANS( $AX1->cmp ); ANS( $BX2->cmp ); ANS( $CX3->cmp ); -COMMENT("Vectors are formated using the subroutine vectorstyle in pg/macros/customizeLaTeX (update your version of pg if you do not have this file). The subroutine can be overwritten in PGcourse.pl."); +COMMENT("Vectors are formatted using the subroutine vectorstyle in pg/macros/customizeLaTeX (update your version of pg if you do not have this file). The subroutine can be overwritten in PGcourse.pl."); ENDDOCUMENT(); diff --git a/OpenProblemLibrary/Indiana/Indiana_setDerivatives10_5Optim/dereco1.pg b/OpenProblemLibrary/Indiana/Indiana_setDerivatives10_5Optim/dereco1.pg index 62b7a5a9e3..0c468ae027 100644 --- a/OpenProblemLibrary/Indiana/Indiana_setDerivatives10_5Optim/dereco1.pg +++ b/OpenProblemLibrary/Indiana/Indiana_setDerivatives10_5Optim/dereco1.pg @@ -8,7 +8,7 @@ ## DBchapter(Applications of differentiation) ## DBsection(Optimization - business and economics) ## Date(5/29/2005) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(app_diff_opt_given_cost_function_do_stuff) ## Level(5) @@ -29,7 +29,7 @@ ## Problem3('') ## KEYWORDS('maximization' 'minimization' 'derivatives' 'optimization','derivatives','Business and Economics','economics','Optimization', 'Economics','Calculus') -DOCUMENT(); +DOCUMENT(); # This should be the first executable line in the problem. loadMacros( @@ -54,13 +54,13 @@ $mp = $a1*$a1*$b1*$b1; $acostmp =($a3*($mp**.5)+$mp*$mp/$b3)/$mp; TEXT(EV2(<normalStrings; ENDDOCUMENT(); # This should be the last executable line in the problem. - diff --git a/OpenProblemLibrary/Indiana/Indiana_setIntegrals3Definite/s4_4_27.pg b/OpenProblemLibrary/Indiana/Indiana_setIntegrals3Definite/s4_4_27.pg index ca3df7dad9..9f16dc0e89 100644 --- a/OpenProblemLibrary/Indiana/Indiana_setIntegrals3Definite/s4_4_27.pg +++ b/OpenProblemLibrary/Indiana/Indiana_setIntegrals3Definite/s4_4_27.pg @@ -8,7 +8,7 @@ ## DBchapter(Integrals) ## DBsection(Definite integrals (without trigonometric functions)) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(DefIntQuadraticOverSqrtX) ## MLTleader(1) @@ -63,11 +63,11 @@ ANS(num_cmp($ans)); BEGIN_SOLUTION -To evaluate the definite integral, we need to determine the +To evaluate the definite integral, we need to determine the antiderivative of the formula to be integrated. This can be done term-by-term by rewriting the integral as: \[ - \int_{$d1}^{$c1} \frac{{$a1}x^2 + $b1}{\sqrt{x}} dx = + \int_{$d1}^{$c1} \frac{{$a1}x^2 + $b1}{\sqrt{x}} dx = \int_{$d1}^{$c1} \left( \frac{{$a1}x^2}{\sqrt{x}} + \frac{$b1}{\sqrt{x}} \right) dx \] Then, we can find the derivative, which is: @@ -85,7 +85,7 @@ we get the value of the definite integral as: -\frac{2}{5}\left(\frac{{$a1}($c1)^3}{\sqrt{$c1}}\right) - 2($b1)\sqrt{$d1} \\ \\ &= !{$p1:%5.4f} - !{$p2:%5.4f} \\ \\ - &= !{$ans:%5.4f} + &= !{$ans:%5.4f} \end{aligned} \] diff --git a/OpenProblemLibrary/Indiana/Indiana_setIntegrals3Definite/s4_4_41.pg b/OpenProblemLibrary/Indiana/Indiana_setIntegrals3Definite/s4_4_41.pg index 7ac6b21c38..c170152c94 100644 --- a/OpenProblemLibrary/Indiana/Indiana_setIntegrals3Definite/s4_4_41.pg +++ b/OpenProblemLibrary/Indiana/Indiana_setIntegrals3Definite/s4_4_41.pg @@ -8,7 +8,7 @@ ## DBchapter(Integrals) ## DBsection(Definite integrals (with trigonometric functions)) ## Date(8/23/07) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(2) ## TitleText1('Calculus: Early Transcendentals') @@ -65,4 +65,3 @@ inside and outside by \(-1\) (which doesn't change the value of course): END_SOLUTION ENDDOCUMENT(); # This should be the last executable line in the problem. - diff --git a/OpenProblemLibrary/Indiana/Indiana_setIntegrals3Definite/sc5_3_17.pg b/OpenProblemLibrary/Indiana/Indiana_setIntegrals3Definite/sc5_3_17.pg index 1ea4056a16..32c7035423 100644 --- a/OpenProblemLibrary/Indiana/Indiana_setIntegrals3Definite/sc5_3_17.pg +++ b/OpenProblemLibrary/Indiana/Indiana_setIntegrals3Definite/sc5_3_17.pg @@ -7,7 +7,7 @@ ## DBsubject(Calculus - single variable) ## DBchapter(Integrals) ## DBsection(Definite integrals (with trigonometric functions)) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(2) ## TitleText1('Calculus: Early Transcendentals') @@ -75,4 +75,3 @@ inside and outside by \(-1\) (which doesn't change the value of course): EOT ENDDOCUMENT(); # This should be the last executable line in the problem. - diff --git a/OpenProblemLibrary/Indiana/Indiana_setIntegrals5Trig/ur_in_5_3.pg b/OpenProblemLibrary/Indiana/Indiana_setIntegrals5Trig/ur_in_5_3.pg index 4e5107bdef..030792b07f 100644 --- a/OpenProblemLibrary/Indiana/Indiana_setIntegrals5Trig/ur_in_5_3.pg +++ b/OpenProblemLibrary/Indiana/Indiana_setIntegrals5Trig/ur_in_5_3.pg @@ -8,7 +8,7 @@ ## DBchapter(Techniques of integration) ## DBsection(Trigonometric integrals) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(sinax_cosbx) ## Level(3) @@ -59,7 +59,7 @@ BEGIN_TEXT Evaluate the indefinite integral. $BR \[ \int \sin($a x)\sin($b x)\ dx \] -$PAR \{ans_rule( 30) \} +$PAR \{ans_rule( 30) \} END_TEXT Context()->normalStrings; @@ -95,4 +95,3 @@ END_SOLUTION Context()->normalStrings; ENDDOCUMENT(); # This should be the last executable line in the problem. - diff --git a/OpenProblemLibrary/LaTech/opes_Statics/Beams/MOI_I_unequal_flange_01.pg b/OpenProblemLibrary/LaTech/opes_Statics/Beams/MOI_I_unequal_flange_01.pg index 4038709b70..1b843bb9a3 100644 --- a/OpenProblemLibrary/LaTech/opes_Statics/Beams/MOI_I_unequal_flange_01.pg +++ b/OpenProblemLibrary/LaTech/opes_Statics/Beams/MOI_I_unequal_flange_01.pg @@ -15,7 +15,7 @@ ## Author(Michael Swanbom) ## Level(5) ## KEYWORDS('area', 'second moment', 'beam', 'PAT', 'bending', 'MOI', 'centroid', 'SIunits') -## RESOUCES('MOI_I_unequal_flange_01.png') +## RESOURCES('MOI_I_unequal_flange_01.png') # This work is licensed under a Creative Commons Attribution-NonCommercial- # ShareAlike 3.0 Unported License. @@ -112,8 +112,8 @@ $BBOLD$BITALIC Answers: $EBOLD$EITALIC$BR \(I_{NA}\) = \{ans_rule(10)\} $BR $PAR -$BITALIC be sure to include units with your answers $EITALIC - +$BITALIC be sure to include units with your answers $EITALIC + END_TEXT diff --git a/OpenProblemLibrary/LaTech/opes_Statics/Beams/MOI_R_T_T_C_S_01.pg b/OpenProblemLibrary/LaTech/opes_Statics/Beams/MOI_R_T_T_C_S_01.pg index 7718e9a2bb..594b682987 100644 --- a/OpenProblemLibrary/LaTech/opes_Statics/Beams/MOI_R_T_T_C_S_01.pg +++ b/OpenProblemLibrary/LaTech/opes_Statics/Beams/MOI_R_T_T_C_S_01.pg @@ -15,7 +15,7 @@ ## Author(Michael Swanbom) ## Level(5) ## KEYWORDS('area', 'second moment', 'beam', 'PAT', 'bending', 'hole', 'MOI', 'centroid', 'SIunits') -## RESOUCES('MOI_R_T_T_C_S_01.png') +## RESOURCES('MOI_R_T_T_C_S_01.png') # This work is licensed under a Creative Commons Attribution-NonCommercial- # ShareAlike 3.0 Unported License. @@ -100,7 +100,7 @@ $y_C = $Ai_yCi/$A; for($i=0; $i<$n; $i++){ $I_NAx = $I_NAx + $I_xCi[$i] + $A_i[$i]*($y_C - $y_Ci[$i])**2; - $I_NAy = $I_NAy + $I_yCi[$i] + $A_i[$i]*($x_C - $x_Ci[$i])**2; + $I_NAy = $I_NAy + $I_yCi[$i] + $A_i[$i]*($x_C - $x_Ci[$i])**2; } $I_x = $I_NAx + $A*$y_C**2; @@ -144,8 +144,8 @@ $BBOLD$BITALIC Answers: $EBOLD$EITALIC$BR \(I_{y_{NA}}\) = \{ans_rule(10)\} $BR $PAR -$BITALIC be sure to include units with your answers $EITALIC - +$BITALIC be sure to include units with your answers $EITALIC + END_TEXT diff --git a/OpenProblemLibrary/LaTech/opes_Statics/Beams/circle_square_hole_45_SS_M_D_02.pg b/OpenProblemLibrary/LaTech/opes_Statics/Beams/circle_square_hole_45_SS_M_D_02.pg index 3711de4658..ca0f4db556 100644 --- a/OpenProblemLibrary/LaTech/opes_Statics/Beams/circle_square_hole_45_SS_M_D_02.pg +++ b/OpenProblemLibrary/LaTech/opes_Statics/Beams/circle_square_hole_45_SS_M_D_02.pg @@ -14,7 +14,7 @@ ## Author(Michael Swanbom) ## Level(5) ## KEYWORDS('simply supported', 'moment', 'beam', 'normal', 'bending', 'stress', 'design', 'flexural', 'SIunits') -## RESOUCES('circle_square_hole_45_SS_M_D_02.png') +## RESOURCES('circle_square_hole_45_SS_M_D_02.png') # This work is licensed under a Creative Commons Attribution-NonCommercial- # ShareAlike 3.0 Unported License. @@ -70,8 +70,8 @@ $BBOLD$BITALIC Maximum Bending Moment: $EBOLD$EITALIC$BR $PAR $BBOLD$BITALIC Maximum Allowable Side Length of Square: $EBOLD$EITALIC$BR \(c\) = \{ans_rule(10)\} $BR -$BITALIC be sure to include units with your answers $EITALIC - +$BITALIC be sure to include units with your answers $EITALIC + END_TEXT diff --git a/OpenProblemLibrary/MC/Proofs/ContrapositiveProofs/Parity.pg b/OpenProblemLibrary/MC/Proofs/ContrapositiveProofs/Parity.pg index b08de062d4..ab9f94d4e4 100644 --- a/OpenProblemLibrary/MC/Proofs/ContrapositiveProofs/Parity.pg +++ b/OpenProblemLibrary/MC/Proofs/ContrapositiveProofs/Parity.pg @@ -37,7 +37,7 @@ $CorrectProof = DraggableProof([ # Other statements -[ "Assume \(x + y\) even implies \(x\) and \(y\) have the same parity." +[ "Assume \(x + y\) even implies \(x\) and \(y\) have the same parity." ]); BEGIN_TEXT @@ -56,7 +56,7 @@ ANS($CorrectProof->cmp); $showHint=3; BEGIN_HINT -You will need to use the statement "Without loss of generality assume \(x\) is even and \(y\) is odd." To use it, what statements must preceed it? Certainly a statement or two regarding the existence of \(x\) and \(y\). +You will need to use the statement "Without loss of generality assume \(x\) is even and \(y\) is odd." To use it, what statements must precede it? Certainly a statement or two regarding the existence of \(x\) and \(y\). END_HINT ENDDOCUMENT(); diff --git a/OpenProblemLibrary/MC/Trigonometry/hawaii_boat_arc.pg b/OpenProblemLibrary/MC/Trigonometry/hawaii_boat_arc.pg index 282a5a92de..e76e8cbbd7 100644 --- a/OpenProblemLibrary/MC/Trigonometry/hawaii_boat_arc.pg +++ b/OpenProblemLibrary/MC/Trigonometry/hawaii_boat_arc.pg @@ -3,7 +3,7 @@ ## DBsubject(Trigonometry) ## DBchapter(Geometric and algebraic foundations for trigonometry) ## DBsection(The Pythagorean theorem & its converse) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(5) ## Static(1) @@ -30,7 +30,7 @@ $v=32*$a; $t=$v/32; $h=16*$t*$t; -TEXT(EV2(<"left"). EndTable() \} $PAR 1) How many more acres are there at Navajo Monument than at George Washington Carver Monument? \{ans_rule(10)\} more acres. -$PAR +$PAR 2) How many acres are there at Fort Sumter and Russell Cave combined? \{ans_rule(10)\} acres. $PAR diff --git a/OpenProblemLibrary/OPES/opes_Statics/Beams/MOI_I_unequal_flange_01.pg b/OpenProblemLibrary/OPES/opes_Statics/Beams/MOI_I_unequal_flange_01.pg index 46538d9bda..89e539d2de 100644 --- a/OpenProblemLibrary/OPES/opes_Statics/Beams/MOI_I_unequal_flange_01.pg +++ b/OpenProblemLibrary/OPES/opes_Statics/Beams/MOI_I_unequal_flange_01.pg @@ -15,7 +15,7 @@ ## Author(Michael Swanbom) ## Level(4) ## KEYWORDS('area', 'second moment', 'beam', 'PAT', 'bending', 'MOI', 'centroid', 'SIunits') -## RESOUCES('MOI_I_unequal_flange_01.png') +## RESOURCES('MOI_I_unequal_flange_01.png') # This work is licensed under a Creative Commons Attribution-NonCommercial- # ShareAlike 3.0 Unported License. @@ -112,8 +112,8 @@ $BBOLD$BITALIC Answers: $EBOLD$EITALIC$BR \(I_{NA}\) = \{ans_rule(10)\} $BR $PAR -$BITALIC be sure to include units with your answers $EITALIC - +$BITALIC be sure to include units with your answers $EITALIC + END_TEXT diff --git a/OpenProblemLibrary/OPES/opes_Statics/Beams/MOI_R_T_T_C_S_01.pg b/OpenProblemLibrary/OPES/opes_Statics/Beams/MOI_R_T_T_C_S_01.pg index a0854df2b1..d3f70bd219 100644 --- a/OpenProblemLibrary/OPES/opes_Statics/Beams/MOI_R_T_T_C_S_01.pg +++ b/OpenProblemLibrary/OPES/opes_Statics/Beams/MOI_R_T_T_C_S_01.pg @@ -15,7 +15,7 @@ ## Author(Michael Swanbom) ## Level(5) ## KEYWORDS('area', 'second moment', 'beam', 'PAT', 'bending', 'hole', 'MOI', 'centroid', 'SIunits') -## RESOUCES('MOI_R_T_T_C_S_01.png') +## RESOURCES('MOI_R_T_T_C_S_01.png') # This work is licensed under a Creative Commons Attribution-NonCommercial- # ShareAlike 3.0 Unported License. @@ -100,7 +100,7 @@ $y_C = $Ai_yCi/$A; for($i=0; $i<$n; $i++){ $I_NAx = $I_NAx + $I_xCi[$i] + $A_i[$i]*($y_C - $y_Ci[$i])**2; - $I_NAy = $I_NAy + $I_yCi[$i] + $A_i[$i]*($x_C - $x_Ci[$i])**2; + $I_NAy = $I_NAy + $I_yCi[$i] + $A_i[$i]*($x_C - $x_Ci[$i])**2; } $I_x = $I_NAx + $A*$y_C**2; @@ -144,8 +144,8 @@ $BBOLD$BITALIC Answers: $EBOLD$EITALIC$BR \(I_{y_{NA}}\) = \{ans_rule(10)\} $BR $PAR -$BITALIC be sure to include units with your answers $EITALIC - +$BITALIC be sure to include units with your answers $EITALIC + END_TEXT diff --git a/OpenProblemLibrary/OPES/opes_Statics/Beams/circle_square_hole_45_SS_M_D_02.pg b/OpenProblemLibrary/OPES/opes_Statics/Beams/circle_square_hole_45_SS_M_D_02.pg index ec39480782..f712aed7b8 100644 --- a/OpenProblemLibrary/OPES/opes_Statics/Beams/circle_square_hole_45_SS_M_D_02.pg +++ b/OpenProblemLibrary/OPES/opes_Statics/Beams/circle_square_hole_45_SS_M_D_02.pg @@ -14,7 +14,7 @@ ## Author(Michael Swanbom) ## Level(3) ## KEYWORDS('simply supported', 'moment', 'beam', 'normal', 'bending', 'stress', 'design', 'flexural', 'SIunits') -## RESOUCES('circle_square_hole_45_SS_M_D_02.png') +## RESOURCES('circle_square_hole_45_SS_M_D_02.png') # This work is licensed under a Creative Commons Attribution-NonCommercial- # ShareAlike 3.0 Unported License. @@ -70,8 +70,8 @@ $BBOLD$BITALIC Maximum Bending Moment: $EBOLD$EITALIC$BR $PAR $BBOLD$BITALIC Maximum Allowable Side Length of Square: $EBOLD$EITALIC$BR \(c\) = \{ans_rule(10)\} $BR -$BITALIC be sure to include units with your answers $EITALIC - +$BITALIC be sure to include units with your answers $EITALIC + END_TEXT diff --git a/OpenProblemLibrary/OSU/accelerated_calculus_and_analytic_geometry_i/hmwk9/prob5/prob5.pg b/OpenProblemLibrary/OSU/accelerated_calculus_and_analytic_geometry_i/hmwk9/prob5/prob5.pg index 167c5cb9d1..76dc4756ba 100644 --- a/OpenProblemLibrary/OSU/accelerated_calculus_and_analytic_geometry_i/hmwk9/prob5/prob5.pg +++ b/OpenProblemLibrary/OSU/accelerated_calculus_and_analytic_geometry_i/hmwk9/prob5/prob5.pg @@ -107,19 +107,19 @@ $Ans = Compute("2*$aa^4/$b2"); Context()->texStrings; BEGIN_SOLUTION -$PAR SOLTION $PAR -Since the region is bounded by \( 0 \le y \le $a2 \), the lower limit of +$PAR SOLUTION $PAR +Since the region is bounded by \( 0 \le y \le $a2 \), the lower limit of integration is \(a = 0\) and the upper limit is \(b = $a2\). $BR $BR We have that \(x = \frac{\sqrt{y}}{$bb} \) is the right half of the parabola \(y = $b2 x^2 \). Thus the cross section of the base corresponding to the coordinate \(y\) has length \[s= 2x = 2 \frac{\sqrt{y}}{$bb} =$s1 \sqrt{y}\] $BR -The area \(A(y)\) is given by +The area \(A(y)\) is given by \[ A(y) = s^2 =$s2 y \] -Thus the volume of the solid is -\[ -V = \int_0^{$a2} A(y)\, dy = \int_0^{$a2} \left($s2 y \right) \; dy - =$s2 \Big[ \frac{ y^2}{2}\Big]_0^{$a2} - =$Ans +Thus the volume of the solid is +\[ +V = \int_0^{$a2} A(y)\, dy = \int_0^{$a2} \left($s2 y \right) \; dy + =$s2 \Big[ \frac{ y^2}{2}\Big]_0^{$a2} + =$Ans \] END_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/OSU/accelerated_calculus_and_analytic_geometry_ii/hmwk1/prob13.pg b/OpenProblemLibrary/OSU/accelerated_calculus_and_analytic_geometry_ii/hmwk1/prob13.pg index c53394677d..e4b5554f3c 100644 --- a/OpenProblemLibrary/OSU/accelerated_calculus_and_analytic_geometry_ii/hmwk1/prob13.pg +++ b/OpenProblemLibrary/OSU/accelerated_calculus_and_analytic_geometry_ii/hmwk1/prob13.pg @@ -8,7 +8,7 @@ ## DBchapter(Infinite sequences and series) ## DBsection(Limit of a sequence) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(MultipleSeq) ## Level(2) @@ -43,7 +43,7 @@ $showPartialCorrectAnswers = 0; - + @choices=(); @choices = ( "I", "Z","Z", "Z","D","F","I","F" ); @@ -67,7 +67,7 @@ $questions[7] = EV2( " \( \arctan(n+1) \)" ); BEGIN_TEXT; Match each sequence below to statement that BEST fits it. $BR -$BR +$BR STATEMENTS$BR $BR Z. The sequence converges to zero; $BR I. The sequence diverges to infinity; $BR @@ -87,7 +87,5 @@ TEXT( #ANS(str_cmp([@ans], filters=>["remove_whitespace","ignore_order","ignore_case"])); -ANS(str_cmp([@choices[@slice] ])); +ANS(str_cmp([@choices[@slice] ])); &ENDDOCUMENT; - - diff --git a/OpenProblemLibrary/OSU/accelerated_calculus_and_analytic_geometry_ii/hmwk4/prob5.pg b/OpenProblemLibrary/OSU/accelerated_calculus_and_analytic_geometry_ii/hmwk4/prob5.pg index ea3b8896c2..eeab47ae99 100644 --- a/OpenProblemLibrary/OSU/accelerated_calculus_and_analytic_geometry_ii/hmwk4/prob5.pg +++ b/OpenProblemLibrary/OSU/accelerated_calculus_and_analytic_geometry_ii/hmwk4/prob5.pg @@ -8,7 +8,7 @@ ## DBchapter(Infinite sequences and series) ## DBsection(Interval of convergence of a power series) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(3) ## TitleText1('Calculus') @@ -41,11 +41,11 @@ BEGIN_TEXT The function \( f(x) = $a x^2 \arctan(x^{$b}) \) -is represented as a power series $BR +is represented as a power series $BR \( f(x) = \sum_{n=0}^\infty c_n x^n .\) $BR What is the degree of the lowest term with a nonzero coefficient? $BR \{ans_rule(20)\} $BR -Find the radius of convergence \( R \) of the series. $BR +Find the radius of convergence \( R \) of the series. $BR \( R = \) \{ans_rule(20)\} . $BR END_TEXT diff --git a/OpenProblemLibrary/PCC/BasicAlgebra/QuadraticApplications/FlyingObjectApp10.pg b/OpenProblemLibrary/PCC/BasicAlgebra/QuadraticApplications/FlyingObjectApp10.pg index 10d019deee..27a11b5bb3 100644 --- a/OpenProblemLibrary/PCC/BasicAlgebra/QuadraticApplications/FlyingObjectApp10.pg +++ b/OpenProblemLibrary/PCC/BasicAlgebra/QuadraticApplications/FlyingObjectApp10.pg @@ -196,7 +196,7 @@ Next, we substitute [`t= [$xVertex]`] into [`f`]'s formula, and we have: \begin{aligned} f(t) &= [$func] \\ f([$xVertex]) &= [$func1] \\ - f([$xVertex]) &= [$yVertex] + f([$xVertex]) &= [$yVertex] \end{aligned} `] @@ -217,7 +217,7 @@ The parabola's vertex is at [`[$vertex]`]. This implies that [`[$tMaxU]`] after This parabola has two [`x`]-intercepts: [`(0,0)`] and [`([$tBack],0)`]. The point [`(0,0)`] represents the moment when the object was released; the point [`([$tBack],0)`] implies the object fell back to the ground after [`[$tBackU]`]. -3) To find the object's height [`[$t1]`] seconds after it was released, we substitute [`t=[$t1]`] into the fomrula for [`f`], and we have: +3) To find the object's height [`[$t1]`] seconds after it was released, we substitute [`t=[$t1]`] into the formula for [`f`], and we have: [` \begin{aligned} @@ -235,7 +235,7 @@ This result shows that [`[$t1U]`] after the object was released, it was [`[$h1U] \begin{aligned} f(t) &= [$func] \\ [$h2] &= [$func] \\ - 0 &= [$func5] + 0 &= [$func5] \end{aligned} `] @@ -264,5 +264,3 @@ END_PGML_SOLUTION ENDDOCUMENT(); - - diff --git a/OpenProblemLibrary/Rochester/setAlgebra05RationalExpressions/srw1_4_1.pg b/OpenProblemLibrary/Rochester/setAlgebra05RationalExpressions/srw1_4_1.pg index 4f0a209d71..8bc3aef980 100644 --- a/OpenProblemLibrary/Rochester/setAlgebra05RationalExpressions/srw1_4_1.pg +++ b/OpenProblemLibrary/Rochester/setAlgebra05RationalExpressions/srw1_4_1.pg @@ -8,7 +8,7 @@ ## DBchapter(Operations on polynomial and rational expressions) ## DBsection(Simplify rational expressions) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(3) ## MO(1) @@ -48,7 +48,7 @@ $b3 = non_zero_random(-10,10); $b4 = non_zero_random(-10,10); $b5 = non_zero_random(-10,10); -# initialize question and answer arrays. +# initialize question and answer arrays. # @fac is a factored version of @ques, used in the solution @que=(); @fac=(); @ans=(); @@ -119,7 +119,7 @@ push @ans, Formula("(x+$a3)/(x+$a1)")->reduce; @que = @que[@slice]; @ans = @ans[@slice]; -# randomize the order in which they appear +# randomize the order in which they appear @perm = random_subset(3,(0..scalar(@slice)-1)); #popups @@ -150,9 +150,9 @@ END_PGML BEGIN_PGML_SOLUTION 1. [``[$que[$perm[0]]]=[$fac[$perm[0]]]=[$ans[$perm[0]]]``] - + 2. [``[$que[$perm[1]]]=[$fac[$perm[1]]]=[$ans[$perm[1]]]``] - + 3. [``[$que[$perm[2]]]=[$fac[$perm[2]]]=[$ans[$perm[2]]]``] END_PGML_SOLUTION diff --git a/OpenProblemLibrary/Rochester/setAlgebra07PointsCircles/sApB_1-6.pg b/OpenProblemLibrary/Rochester/setAlgebra07PointsCircles/sApB_1-6.pg index e0e34b4ac4..e15541f52b 100644 --- a/OpenProblemLibrary/Rochester/setAlgebra07PointsCircles/sApB_1-6.pg +++ b/OpenProblemLibrary/Rochester/setAlgebra07PointsCircles/sApB_1-6.pg @@ -8,7 +8,7 @@ ## DBchapter(Cartesian coordinate system) ## DBsection(Midpoint and distance formulas) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Distance_only) ## Level(2) diff --git a/OpenProblemLibrary/Rochester/setAlgebra14Lines/srw1_10_19_mo.pg b/OpenProblemLibrary/Rochester/setAlgebra14Lines/srw1_10_19_mo.pg index f3fdae7839..892c10e9b0 100644 --- a/OpenProblemLibrary/Rochester/setAlgebra14Lines/srw1_10_19_mo.pg +++ b/OpenProblemLibrary/Rochester/setAlgebra14Lines/srw1_10_19_mo.pg @@ -9,7 +9,7 @@ ## DBchapter(Linear equations and functions) ## DBsection(Parallel and perpendicular lines) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Line_given_point_parralel_given_line) ## MLTleader(1) diff --git a/OpenProblemLibrary/Rochester/setAlgebra17FunComposition/s0_1_85.pg b/OpenProblemLibrary/Rochester/setAlgebra17FunComposition/s0_1_85.pg index 3dac609a6e..1830634145 100644 --- a/OpenProblemLibrary/Rochester/setAlgebra17FunComposition/s0_1_85.pg +++ b/OpenProblemLibrary/Rochester/setAlgebra17FunComposition/s0_1_85.pg @@ -8,7 +8,7 @@ ## DBchapter(Functions) ## DBsection(Compositions and combinations of functions) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(ccf-f-and-g-composition-one-option-cross-quad) ## Level(2) diff --git a/OpenProblemLibrary/Rochester/setAlgebra29LogFunctions/problem4.pg b/OpenProblemLibrary/Rochester/setAlgebra29LogFunctions/problem4.pg index d8fbdd19a1..bc1b762589 100644 --- a/OpenProblemLibrary/Rochester/setAlgebra29LogFunctions/problem4.pg +++ b/OpenProblemLibrary/Rochester/setAlgebra29LogFunctions/problem4.pg @@ -8,7 +8,7 @@ ## DBchapter(Exponential and logarithmic expressions and functions) ## DBsection(Properties of logarithms) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(MixedLogProperties_SimplifyToValue) ## Level(3) @@ -51,7 +51,7 @@ $i1 = random(2,5,1); BEGIN_TEXT; Evaluate the following expressions. Your answers must be exact and in simplest form. -$BR $BR +$BR $BR (a) \( \ln e ^ { $a1 } = \) \{ans_rule(10) \} $BR $BR (b) \( e ^ {\ln $b1 } = \) \{ans_rule(10) \} diff --git a/OpenProblemLibrary/Rochester/setAlgebra29LogFunctions/srw4_4_9.pg b/OpenProblemLibrary/Rochester/setAlgebra29LogFunctions/srw4_4_9.pg index 8203ebd381..67ac5b477a 100644 --- a/OpenProblemLibrary/Rochester/setAlgebra29LogFunctions/srw4_4_9.pg +++ b/OpenProblemLibrary/Rochester/setAlgebra29LogFunctions/srw4_4_9.pg @@ -8,7 +8,7 @@ ## DBchapter(Exponential and logarithmic expressions and functions) ## DBsection(Properties of logarithms) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(LogProperties_Expand_NotAFunction) ## Level(3) diff --git a/OpenProblemLibrary/Rochester/setAlgebra30LogExpEqns/mec1.pg b/OpenProblemLibrary/Rochester/setAlgebra30LogExpEqns/mec1.pg index 1eecb5184e..4a239848f6 100644 --- a/OpenProblemLibrary/Rochester/setAlgebra30LogExpEqns/mec1.pg +++ b/OpenProblemLibrary/Rochester/setAlgebra30LogExpEqns/mec1.pg @@ -8,7 +8,7 @@ ## DBchapter(Exponential and logarithmic expressions and functions) ## DBsection(Exponential and logarithmic equations) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(ELEqn_MTL5) ## Level(3) diff --git a/OpenProblemLibrary/Rochester/setAlgebra30LogExpEqns/srw4_3_48.pg b/OpenProblemLibrary/Rochester/setAlgebra30LogExpEqns/srw4_3_48.pg index 301e348782..a54d12a2bf 100644 --- a/OpenProblemLibrary/Rochester/setAlgebra30LogExpEqns/srw4_3_48.pg +++ b/OpenProblemLibrary/Rochester/setAlgebra30LogExpEqns/srw4_3_48.pg @@ -8,7 +8,7 @@ ## DBchapter(Exponential and logarithmic expressions and functions) ## DBsection(Exponential and logarithmic equations) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(2) ## TitleText1('Calculus') diff --git a/OpenProblemLibrary/Rochester/setDerivatives1/s2_1_23.pg b/OpenProblemLibrary/Rochester/setDerivatives1/s2_1_23.pg index bf67474744..3be72dcfb1 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives1/s2_1_23.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives1/s2_1_23.pg @@ -7,7 +7,7 @@ ## DBsubject(Calculus - single variable) ## DBchapter(Differentiation) ## DBsection(Chain rule (without trigonometric functions)) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Chain-SqrtOfLin2) ## Level(2) diff --git a/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_11_mo.pg b/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_11_mo.pg index 157fcb884c..e397a1a16b 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_11_mo.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_11_mo.pg @@ -8,7 +8,7 @@ ## DBchapter(Applications of differentiation) ## DBsection(Global extrema) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(GlobalExtremes_Quadratic) ## MLTleader(1) @@ -78,7 +78,7 @@ $PAR and this occurs at \( x \) equals \{ans_rule(20) \} $PAR -The absolute minimum value is \{ans_rule(20) \} +The absolute minimum value is \{ans_rule(20) \} $PAR and this occurs at \( x \) equals \{ans_rule(20) \} @@ -97,7 +97,7 @@ ANS($abs_max_value->cmp, $abs_min_value->cmp, $abs_min_point->cmp, ); - + ; diff --git a/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_42.pg b/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_42.pg index cbf0af90a0..dd478c4fe2 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_42.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_42.pg @@ -8,7 +8,7 @@ ## DBchapter(Applications of differentiation) ## DBsection(Increasing/decreasing functions and local extrema) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(2) ## TitleText1('Calculus: Early Transcendentals') diff --git a/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_43.pg b/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_43.pg index 6d1bf52e50..e40a340017 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_43.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_43.pg @@ -7,7 +7,7 @@ ## DBsubject(Calculus - single variable) ## DBchapter(Applications of differentiation) ## DBsection(Increasing/decreasing functions and local extrema) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(2) ## TitleText1('Calculus: Early Transcendentals') diff --git a/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/ur_dr_10_1.pg b/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/ur_dr_10_1.pg index 6f35d8a397..92429f1865 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/ur_dr_10_1.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/ur_dr_10_1.pg @@ -8,7 +8,7 @@ ## DBchapter(Applications of differentiation) ## DBsection(Increasing/decreasing functions and local extrema) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(3) ## TitleText1('Calculus: Early Transcendentals') diff --git a/OpenProblemLibrary/Rochester/setDerivatives10_5Optim/c3s8p2_mo.pg b/OpenProblemLibrary/Rochester/setDerivatives10_5Optim/c3s8p2_mo.pg index 5d2dc4035a..3e4014da9d 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives10_5Optim/c3s8p2_mo.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives10_5Optim/c3s8p2_mo.pg @@ -8,7 +8,7 @@ ## DBchapter(Applications of differentiation) ## DBsection(Optimization - general) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Optimization_Inscribe2D_values) ## MLTleader(1) @@ -95,7 +95,7 @@ Context()->normalStrings; # Context()->{format}->{number}='%0.5f'; # controls display of correct answer $width->{format}='%0.2f'; # width's format is now different. -ANS($width->cmp, $height->cmp, +ANS($width->cmp, $height->cmp, ); #ANS(num_cmp([2*$x,$y], format=>"%0.5f", relTol=>1)); diff --git a/OpenProblemLibrary/Rochester/setDerivatives10_5Optim/s3_8_26_mo.pg b/OpenProblemLibrary/Rochester/setDerivatives10_5Optim/s3_8_26_mo.pg index c37a22a2bf..a18e657190 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives10_5Optim/s3_8_26_mo.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives10_5Optim/s3_8_26_mo.pg @@ -8,7 +8,7 @@ ## DBchapter(Applications of differentiation) ## DBsection(Optimization - general) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Optimization_NormanWindow) ## MLTleader(1) @@ -94,7 +94,7 @@ ANS($ans->cmp); BEGIN_SOLUTION $SOL $BR -To solve this maximization problem, we must find a formula for the area +To solve this maximization problem, we must find a formula for the area of the window in terms of one of its dimensions. Let \( h \) be the height of the rectangular portion of the window, and let \( x \) be half of the width of the rectangular portion @@ -102,9 +102,9 @@ and let \( x \) be half of the width of the rectangular portion Then the area is given by \( 2xh + \frac{{\pi}{x}^2}{2} \) (since we have half of a circle on top of the rectangle). $PAR -Now, we need to find an expression for the height of the rectangular -portion of the window in terms of the width, \( 2x \). This is where we -use the information that the entire window should have a perimeter of +Now, we need to find an expression for the height of the rectangular +portion of the window in terms of the width, \( 2x \). This is where we +use the information that the entire window should have a perimeter of $p1 feet. The perimeter of the window is given by \( 2x+2h+{\pi}x \), again since we are only using half of a circle. Setting this equation equal to $p1 and solving for \( h \), we get: @@ -115,7 +115,7 @@ equal to $p1 and solving for \( h \), we get: h & = \frac{$p1 -2x - {\pi}x}{2} \\ \end{aligned} \] -Plugging this into our expression, we get a formula for the area of the +Plugging this into our expression, we get a formula for the area of the window in terms of the width of the rectangular portion. That is: \[ a(x) = 2x\left(\frac{$p1-2x-{\pi}x}{2}\right) + \frac{{\pi}x^2}{2} @@ -134,8 +134,8 @@ Taking the derivative of this and solving for 0, we get: \end{aligned} \] $PAR -Checking will show that this is in fact a local maximum, so that the -maximum area of the window can be found by plugging this value of \( x \) +Checking will show that this is in fact a local maximum, so that the +maximum area of the window can be found by plugging this value of \( x \) into the formula for area. That is: \[ a(!{\{ $p1/(4+3.14159265)\}:%5.4f}) \approx !{$ans:%5.2f} diff --git a/OpenProblemLibrary/Rochester/setDerivatives2Formulas/s2_2_1.pg b/OpenProblemLibrary/Rochester/setDerivatives2Formulas/s2_2_1.pg index c4cc683546..cdcd3fd0aa 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives2Formulas/s2_2_1.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives2Formulas/s2_2_1.pg @@ -8,7 +8,7 @@ ## DBchapter(Differentiation) ## DBsection(Derivatives of polynomials and power functions) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Poly_positive_exponent_eval) ## MO(1) @@ -70,7 +70,7 @@ $df = $f->D; Context()->texStrings; BEGIN_TEXT If \( f(x) = $f \), find \( f'( x ) \). -$BR $BR +$BR $BR \(f'(x) = \) \{ans_rule(48) \} END_TEXT @@ -79,8 +79,8 @@ ANS($df->cmp); &SOLUTION(EV3(<<'EOT')); $BR -$SOL -In general the derivative of \( x^n \) is \( nx^{n-1} \). Using this (and the +$SOL +In general the derivative of \( x^n \) is \( nx^{n-1} \). Using this (and the basic sum and constant multiple rules) we find the derivative of $BR \($f \) is \( $df \).$BR $BR EOT @@ -96,7 +96,7 @@ ANS($dfx->cmp); &SOLUTION(EV3(<<'EOT')); $SOL $BR -To find the derivative we just have to evaluate \( f'( x ) \) at +To find the derivative we just have to evaluate \( f'( x ) \) at \( x = $x1 \), i.e. \( $dfx \). EOT diff --git a/OpenProblemLibrary/Rochester/setDerivatives3WordProblems/c2s7p2.pg b/OpenProblemLibrary/Rochester/setDerivatives3WordProblems/c2s7p2.pg index b71f3e3b55..700426252e 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives3WordProblems/c2s7p2.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives3WordProblems/c2s7p2.pg @@ -9,7 +9,7 @@ ## DBchapter(Applications of differentiation) ## DBsection(Rates of change - engineering and physics) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(2) ## TitleText1('Mathematical Applications') diff --git a/OpenProblemLibrary/Rochester/setDerivatives5ChainRule/s2_5_4a_mo.pg b/OpenProblemLibrary/Rochester/setDerivatives5ChainRule/s2_5_4a_mo.pg index b85e6de026..84eafc3c96 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives5ChainRule/s2_5_4a_mo.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives5ChainRule/s2_5_4a_mo.pg @@ -9,7 +9,7 @@ ## DBsubject(Calculus - single variable) ## DBchapter(Differentiation) ## DBsection(Chain rule (with trigonometric functions)) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(diff_chr_trig_fn_trig_and_power) ## Level(2) @@ -35,7 +35,7 @@ ######################################################################## -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", @@ -83,7 +83,7 @@ END_TEXT # # -ANS($dfdx->cmp); +ANS($dfdx->cmp); ; diff --git a/OpenProblemLibrary/Rochester/setDerivatives7Log/mec10.pg b/OpenProblemLibrary/Rochester/setDerivatives7Log/mec10.pg index 85857dc09b..a25b271eb9 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives7Log/mec10.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives7Log/mec10.pg @@ -1,7 +1,7 @@ ## DBsubject(Calculus - single variable) ## DBchapter(Differentiation) ## DBsection(Logarithmic differentiation) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(logDiffQuotientofPolys) ## Level(4) diff --git a/OpenProblemLibrary/Rochester/setDerivatives7Log/osu_dr_7_3.pg b/OpenProblemLibrary/Rochester/setDerivatives7Log/osu_dr_7_3.pg index bc23a481ae..abefefc025 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives7Log/osu_dr_7_3.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives7Log/osu_dr_7_3.pg @@ -11,7 +11,7 @@ ## DBchapter(Differentiation) ## DBsection(Logarithmic differentiation) ## Date(3/7/2000) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(logDiffexprtocosxorsinx) ## Level(3) diff --git a/OpenProblemLibrary/Rochester/setDerivatives8RelatedRates/s2_8_21_mo.pg b/OpenProblemLibrary/Rochester/setDerivatives8RelatedRates/s2_8_21_mo.pg index 4dd457684b..be4f149231 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives8RelatedRates/s2_8_21_mo.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives8RelatedRates/s2_8_21_mo.pg @@ -9,7 +9,7 @@ ## DBchapter(Applications of differentiation) ## DBsection(Related rates) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(RelatedRate-ConePile) ## Level(5) @@ -75,10 +75,10 @@ $rate = Formula( # Main Text BEGIN_TEXT -Gravel is being dumped from a conveyor belt at a rate of \($a\) cubic feet per minute. +Gravel is being dumped from a conveyor belt at a rate of \($a\) cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is -\($h\) feet high? Recall that the volume of a right circular cone with height \(h\) +\($h\) feet high? Recall that the volume of a right circular cone with height \(h\) and radius of the base \(r\) is given by \(V= \frac{1}{3}\pi r^2h \). $BR $BR When the pile is \( $h \) feet high, its height is @@ -97,7 +97,7 @@ Context()->texStrings; BEGIN_SOLUTION We are given that the diameter and height are always the same, -so \( 2r = h \),or \(r = \frac12 h \). +so \( 2r = h \),or \(r = \frac12 h \). Hence, the volume of the pile is \[ \textstyle V = \frac13 \pi r^2 h @@ -114,7 +114,7 @@ and so \[ \frac{dh}{dt} = \frac{4}{\pi h^2} \frac{dV}{dt}. \] -If \( \frac{dV}{dt} = $a \) and \( h = $h\), then +If \( \frac{dV}{dt} = $a \) and \( h = $h\), then \[ \frac{dh}{dt} = \frac{4 \cdot $a}{$h ^2 \pi} = $rate. diff --git a/OpenProblemLibrary/Rochester/setDiffEQ5ModelingWith1stOrder/ns7_5_3.pg b/OpenProblemLibrary/Rochester/setDiffEQ5ModelingWith1stOrder/ns7_5_3.pg index 207cc65e6b..16e4f9838c 100644 --- a/OpenProblemLibrary/Rochester/setDiffEQ5ModelingWith1stOrder/ns7_5_3.pg +++ b/OpenProblemLibrary/Rochester/setDiffEQ5ModelingWith1stOrder/ns7_5_3.pg @@ -8,7 +8,7 @@ ## DBchapter(First order differential equations) ## DBsection(Applications - exponential growth & decay) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(applications_exponential_bacteria_formula_findY_findT) ## MLTleader(1) @@ -48,11 +48,11 @@ $k = (ln($c)-ln($a))/$b; BEGIN_TEXT A bacteria culture starts with \($a\) bacteria and grows at a rate -proportional to its size. After \($b\) hours there will be \($c\) bacteria. $BR $BR +proportional to its size. After \($b\) hours there will be \($c\) bacteria. $BR $BR (a) Express the population after \(t\) hours as a function of \(t\). $BR -population: \{ ans_rule(40) \} (function of t) $BR $BR +population: \{ ans_rule(40) \} (function of t) $BR $BR (b) What will be the population after \($d\) hours? $BR - \{ans_rule(40) \} $BR $BR + \{ans_rule(40) \} $BR $BR (c) How long will it take for the population to reach \($f\) ? $BR \{ans_rule(40) \} $BR diff --git a/OpenProblemLibrary/Rochester/setDiscrete6Integers/ur_dis_6_10.pg b/OpenProblemLibrary/Rochester/setDiscrete6Integers/ur_dis_6_10.pg index 8590a676a0..85edbb4065 100644 --- a/OpenProblemLibrary/Rochester/setDiscrete6Integers/ur_dis_6_10.pg +++ b/OpenProblemLibrary/Rochester/setDiscrete6Integers/ur_dis_6_10.pg @@ -32,8 +32,8 @@ $number[1] = sprintf "%lb", $a[1]; $number[2] = sprintf "%lb", $a[2]; BEGIN_TEXT -Covert the following integers from decimal notation to binary notation.$BR -(Do not put extra zeros in front of your binary notation or it might +Convert the following integers from decimal notation to binary notation.$BR +(Do not put extra zeros in front of your binary notation or it might confuse WebWorK. So write 101 versus 0101 etc.)$PAR (a) \( $a[0] \) \{ ans_rule(20) \} $BR $PAR diff --git a/OpenProblemLibrary/Rochester/setGeometry2Lines/sApB_21-26.pg b/OpenProblemLibrary/Rochester/setGeometry2Lines/sApB_21-26.pg index b2907b2ddc..e9405d24f9 100644 --- a/OpenProblemLibrary/Rochester/setGeometry2Lines/sApB_21-26.pg +++ b/OpenProblemLibrary/Rochester/setGeometry2Lines/sApB_21-26.pg @@ -5,7 +5,7 @@ ## DBchapter(Linear equations and functions) ## DBsection(Equations of lines: slope-intercept form) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(MLT04) ## MLTleader(1) @@ -60,4 +60,3 @@ $shift=$y-$slope*$x; ANS(num_cmp($shift)); ENDDOCUMENT(); # This should be the last executable line in the problem. - diff --git a/OpenProblemLibrary/Rochester/setIntegrals0Theory/sc5_2_24_mo.pg b/OpenProblemLibrary/Rochester/setIntegrals0Theory/sc5_2_24_mo.pg index 26e2fc3c54..c07291d0b3 100644 --- a/OpenProblemLibrary/Rochester/setIntegrals0Theory/sc5_2_24_mo.pg +++ b/OpenProblemLibrary/Rochester/setIntegrals0Theory/sc5_2_24_mo.pg @@ -8,7 +8,7 @@ ## DBchapter(Integrals) ## DBsection(Conceptual understanding of integration) ## Date(02/08/2010) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(integral_concept_areainterp) ## Level(2) diff --git a/OpenProblemLibrary/Rochester/setIntegrals0Theory/sc5_2_28_mo.pg b/OpenProblemLibrary/Rochester/setIntegrals0Theory/sc5_2_28_mo.pg index d7b1d0608c..6b21c05f33 100644 --- a/OpenProblemLibrary/Rochester/setIntegrals0Theory/sc5_2_28_mo.pg +++ b/OpenProblemLibrary/Rochester/setIntegrals0Theory/sc5_2_28_mo.pg @@ -8,7 +8,7 @@ ## DBchapter(Integrals) ## DBsection(Conceptual understanding of integration) ## Date(5/30/2005) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(integral_concept_areainterp) ## Level(2) @@ -74,7 +74,7 @@ Context()->texStrings; BEGIN_TEXT Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral -represents, and find the area using high school geometry. +represents, and find the area using high school geometry. $PAR \( \int_{0}^{$e} | $a x - $b | dx = \) \{ans_rule(20)\} diff --git a/OpenProblemLibrary/Rochester/setIntegrals3Definite/s4_4_20_mo.pg b/OpenProblemLibrary/Rochester/setIntegrals3Definite/s4_4_20_mo.pg index 9810bdbd82..7714117011 100644 --- a/OpenProblemLibrary/Rochester/setIntegrals3Definite/s4_4_20_mo.pg +++ b/OpenProblemLibrary/Rochester/setIntegrals3Definite/s4_4_20_mo.pg @@ -7,7 +7,7 @@ ## DBsubject(Calculus - single variable) ## DBchapter(Integrals) ## DBsection(Definite integrals (without trigonometric functions)) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(DefIntQuadratic) ## MLTleader(1) @@ -54,7 +54,7 @@ $lower = random(2,4,1); $f = Formula("$a*x^2 - $b*x + $c"); $anti_deriv = Formula("$a/3*x^3 - $b/2*x^2 + $c*x"); -$ans = Compute($anti_deriv->substitute(x=>"$upper") - $anti_deriv->substitute(x=>"$lower")); +$ans = Compute($anti_deriv->substitute(x=>"$upper") - $anti_deriv->substitute(x=>"$lower")); ######################################## # Main Text diff --git a/OpenProblemLibrary/Rochester/setIntegrals3Definite/s4_4_21.pg b/OpenProblemLibrary/Rochester/setIntegrals3Definite/s4_4_21.pg index 13f4cc66f5..679273bcc9 100644 --- a/OpenProblemLibrary/Rochester/setIntegrals3Definite/s4_4_21.pg +++ b/OpenProblemLibrary/Rochester/setIntegrals3Definite/s4_4_21.pg @@ -8,7 +8,7 @@ ## DBchapter(Integrals) ## DBsection(Definite integrals (without trigonometric functions)) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(DefIntSymEvenQuadratic) ## MLTleader(1) @@ -67,15 +67,15 @@ EOT $ans = 4*$a1**3/3; ANS(num_cmp($ans)); -$num = 2*$a1**3; +$num = 2*$a1**3; BEGIN_SOLUTION -$SOL $BR -Since the function \(f(x)=$a2 - x^2\) is even, -$BR $BR -\( \displaystyle \int_{-$a1}^{$a1} ($a2 -x^2) dx = 2 \int_{0}^{$a1} ($a2 -x^2) dx = -2 \left. \left($a2 x - \frac{x^3}{3}\right) \right|_ {0}^{$a1} = -2 \left[ \left($a2 \cdot $a1- \frac{$a1^3}{3}\right) - (0-0) \right] = 2 \frac{$num}{3} = $ans \) +$SOL $BR +Since the function \(f(x)=$a2 - x^2\) is even, +$BR $BR +\( \displaystyle \int_{-$a1}^{$a1} ($a2 -x^2) dx = 2 \int_{0}^{$a1} ($a2 -x^2) dx = +2 \left. \left($a2 x - \frac{x^3}{3}\right) \right|_ {0}^{$a1} = +2 \left[ \left($a2 \cdot $a1- \frac{$a1^3}{3}\right) - (0-0) \right] = 2 \frac{$num}{3} = $ans \) END_SOLUTION diff --git a/OpenProblemLibrary/Rochester/setSequences3Monotone/ns8_1_38.pg b/OpenProblemLibrary/Rochester/setSequences3Monotone/ns8_1_38.pg index 581f4fb9f0..7c42373bc0 100644 --- a/OpenProblemLibrary/Rochester/setSequences3Monotone/ns8_1_38.pg +++ b/OpenProblemLibrary/Rochester/setSequences3Monotone/ns8_1_38.pg @@ -7,7 +7,7 @@ ## DBsubject(Algebra) ## DBchapter(Finite sequences and series) ## DBsection(Notation) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(2) ## TitleText1('Calculus') diff --git a/OpenProblemLibrary/Rochester/setSeries6CompTests/benny_ser2b.pg b/OpenProblemLibrary/Rochester/setSeries6CompTests/benny_ser2b.pg index 980c519b4a..950e0b3771 100644 --- a/OpenProblemLibrary/Rochester/setSeries6CompTests/benny_ser2b.pg +++ b/OpenProblemLibrary/Rochester/setSeries6CompTests/benny_ser2b.pg @@ -8,7 +8,7 @@ ## DBchapter(Infinite sequences and series) ## DBsection(Comparison tests) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Does_the_CT_LCT_apply_with_conclusion) ## Level(3) @@ -57,22 +57,22 @@ sub custom_problem_grader { my $rh_problem_state = shift; my %form_options = @_; my %evaluated_answers = %{$rh_evaluated_answers}; - # The hash $rh_evaluated_answers typically contains: + # The hash $rh_evaluated_answers typically contains: # 'answer1' => 34, 'answer2'=> 'Mozart', etc. - + # By default the old problem state is simply passed back out again. my %problem_state = %$rh_problem_state; - - + + # %form_options might include - # The user login name + # The user login name # The permission level of the user # The studentLogin name for this psvn. # Whether the form is asking for a refresh or # is submitting a new answer. - + # initial setup of the answer - my $total=0; + my $total=0; my %problem_result = ( score => 0, errors => '', type => 'custom_problem_grader', @@ -81,13 +81,13 @@ sub custom_problem_grader { # Return unless answers have been submitted unless ($form_options{answers_submitted} == 1) { - - # Since this code is in a .pg file we must use double tildes + + # Since this code is in a .pg file we must use double tildes # instead of Perl's backslash on the next line. return(~~%problem_result,~~%problem_state); } # Answers have been submitted -- process them. - + ######################################################## # Here's where we compute the score. The variable # # $numright is the number of correct answers. # @@ -107,15 +107,15 @@ sub custom_problem_grader { $total = 0; } - $problem_result{score} = $total; + $problem_result{score} = $total; # increase recorded score if the current score is greater. $problem_state{recorded_score} = $problem_result{score} if $problem_result{score} > $problem_state{recorded_score}; - + $problem_state{num_of_correct_ans}++ if $total == 1; $problem_state{num_of_incorrect_ans}++ if $total < 1 ; - - # Since this code is in a .pg file we must use double tildes + + # Since this code is in a .pg file we must use double tildes # instead of Perl's backslash on the next line. (~~%problem_result, ~~%problem_state); diff --git a/OpenProblemLibrary/Rochester/setSeries6CompTests/benny_ser3.pg b/OpenProblemLibrary/Rochester/setSeries6CompTests/benny_ser3.pg index 4c08a906d4..31257ac91b 100644 --- a/OpenProblemLibrary/Rochester/setSeries6CompTests/benny_ser3.pg +++ b/OpenProblemLibrary/Rochester/setSeries6CompTests/benny_ser3.pg @@ -8,7 +8,7 @@ ## DBchapter(Infinite sequences and series) ## DBsection(Comparison tests) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Is_the_argument_correct_CT) ## MLTleader(1) diff --git a/OpenProblemLibrary/Rochester/setSeries6CompTests/ur_sr_6_10a.pg b/OpenProblemLibrary/Rochester/setSeries6CompTests/ur_sr_6_10a.pg index e8e60f1f2c..ad05b3966f 100644 --- a/OpenProblemLibrary/Rochester/setSeries6CompTests/ur_sr_6_10a.pg +++ b/OpenProblemLibrary/Rochester/setSeries6CompTests/ur_sr_6_10a.pg @@ -8,7 +8,7 @@ ## DBchapter(Infinite sequences and series) ## DBsection(Strategy for testing series) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(First_reason) ## MLTleader(1) @@ -45,7 +45,7 @@ loadMacros( # 50% credit for five correct, and 0% for four or fewer correct. # To change this scheme, look for the lines # $ENV{'grader_numright'} -# $ENV{'grader_scores'} +# $ENV{'grader_scores'} # $ENV{'grader_message'} # and follow the instructions for custom_problem_grader_fluid # in ../webwork2/pg/macros/PGgraders.pl @@ -82,7 +82,7 @@ $c5 = $a5 + $b5; series","Comparison (or Limit Comparison) with a geometric or \(p\) series", "Alternating Series Test", "None of the above"); -@questions=(); +@questions=(); $questions[0] = EV2( " \( \displaystyle \sum_{n=1}^\infty \frac{ \cos(n \pi)}{ \ln($a0 n)} \) " ); $questions[1] = EV2( " \( \displaystyle @@ -128,4 +128,3 @@ $ans[7] = join " ",$ALPHABET[1]; ANS(str_cmp([@ans[@slice]], filters=>["remove_whitespace","ignore_order","ignore_case"])); ENDDOCUMENT(); # This should be the last executable line in the problem. - diff --git a/OpenProblemLibrary/Rochester/setSeries7AbsolutelyConvergent/eva8_4aBB.pg b/OpenProblemLibrary/Rochester/setSeries7AbsolutelyConvergent/eva8_4aBB.pg index 07d9da1b56..2192981d07 100644 --- a/OpenProblemLibrary/Rochester/setSeries7AbsolutelyConvergent/eva8_4aBB.pg +++ b/OpenProblemLibrary/Rochester/setSeries7AbsolutelyConvergent/eva8_4aBB.pg @@ -8,7 +8,7 @@ ## DBchapter(Infinite sequences and series) ## DBsection(Absolute and conditional convergence) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(AC_CC_D_list) ## Level(3) @@ -56,22 +56,22 @@ sub custom_problem_grader { my $rh_problem_state = shift; my %form_options = @_; my %evaluated_answers = %{$rh_evaluated_answers}; - # The hash $rh_evaluated_answers typically contains: + # The hash $rh_evaluated_answers typically contains: # 'answer1' => 34, 'answer2'=> 'Mozart', etc. - + # By default the old problem state is simply passed back out again. my %problem_state = %$rh_problem_state; - - + + # %form_options might include - # The user login name + # The user login name # The permission level of the user # The studentLogin name for this psvn. # Whether the form is asking for a refresh or # is submitting a new answer. - + # initial setup of the answer - my $total=0; + my $total=0; my %problem_result = ( score => 0, errors => '', type => 'custom_problem_grader', @@ -80,13 +80,13 @@ sub custom_problem_grader { # Return unless answers have been submitted unless ($form_options{answers_submitted} == 1) { - - # Since this code is in a .pg file we must use double tildes + + # Since this code is in a .pg file we must use double tildes # instead of Perl's backslash on the next line. return(~~%problem_result,~~%problem_state); } # Answers have been submitted -- process them. - + ######################################################## # Here's where we compute the score. The variable # # $numright is the number of correct answers. # @@ -106,15 +106,15 @@ sub custom_problem_grader { $total = 0; } - $problem_result{score} = $total; + $problem_result{score} = $total; # increase recorded score if the current score is greater. $problem_state{recorded_score} = $problem_result{score} if $problem_result{score} > $problem_state{recorded_score}; - + $problem_state{num_of_correct_ans}++ if $total == 1; $problem_state{num_of_incorrect_ans}++ if $total < 1 ; - - # Since this code is in a .pg file we must use double tildes + + # Since this code is in a .pg file we must use double tildes # instead of Perl's backslash on the next line. (~~%problem_result, ~~%problem_state); diff --git a/OpenProblemLibrary/Rochester/setSeries8Power/eva8_5a_9.pg b/OpenProblemLibrary/Rochester/setSeries8Power/eva8_5a_9.pg index 7c99603f52..34739474a6 100644 --- a/OpenProblemLibrary/Rochester/setSeries8Power/eva8_5a_9.pg +++ b/OpenProblemLibrary/Rochester/setSeries8Power/eva8_5a_9.pg @@ -8,7 +8,7 @@ ## DBchapter(Infinite sequences and series) ## DBsection(Interval of convergence of a power series) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(IntervalCnonzeroDpoly) ## Level(3) @@ -53,7 +53,7 @@ TEXT(EV2(< r\). Find the volume of the remaining portion of the sphere. $PAR -Volume = \{ans_rule(30)\} +Volume = \{ans_rule(30)\} END_TEXT diff --git a/OpenProblemLibrary/UMN/algebraKaufmannSchwitters/ks_8_6_prob01.pg b/OpenProblemLibrary/UMN/algebraKaufmannSchwitters/ks_8_6_prob01.pg index 304e37d070..5837422014 100644 --- a/OpenProblemLibrary/UMN/algebraKaufmannSchwitters/ks_8_6_prob01.pg +++ b/OpenProblemLibrary/UMN/algebraKaufmannSchwitters/ks_8_6_prob01.pg @@ -7,7 +7,7 @@ ## DBchapter(Functions) ## DBsection(Compositions and combinations of functions) ## Date(10/20/2011) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(ccf-f-and-g-composition-four-options-frac) ## MLTleader(1) @@ -32,7 +32,7 @@ ######################################################################## -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", @@ -66,7 +66,7 @@ $HR $PAR $BBOLD 1.$EBOLD \((f \circ f)(x) =\) \{ans_rule(30)\} $PAR $BBOLD 2.$EBOLD \((f \circ g)(x) =\) \{ans_rule(30)\} $PAR -$BBOLD 3.$EBOLD \((g \circ f)(x) =\) \{ans_rule(30)\}$PAR +$BBOLD 3.$EBOLD \((g \circ f)(x) =\) \{ans_rule(30)\}$PAR $BBOLD 4.$EBOLD \((g \circ g)(x) =\) \{ans_rule(30)\} $PAR $HR END_TEXT diff --git a/OpenProblemLibrary/UMN/calculusStewartET/s_7_2_20.pg b/OpenProblemLibrary/UMN/calculusStewartET/s_7_2_20.pg index 739c002a9f..5e7adc3717 100644 --- a/OpenProblemLibrary/UMN/calculusStewartET/s_7_2_20.pg +++ b/OpenProblemLibrary/UMN/calculusStewartET/s_7_2_20.pg @@ -7,7 +7,7 @@ ## DBchapter(Techniques of integration) ## DBsection(Substitution (with trigonometric functions)) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(doublesin) ## MLTleader(1) @@ -54,7 +54,7 @@ $ans = Compute("( 2*(sin(pi/$a))^3 )/3"); Context()->texStrings; BEGIN_TEXT Evaluate -\[ +\[ \int_0^{\pi/$a} \sin (2x) \sin x \,dx. \] Answer: \{ans_rule(20) \} diff --git a/OpenProblemLibrary/UVA-FinancialMath/setFinancialMath-Sect42-Bonds/math114-42-07.pg b/OpenProblemLibrary/UVA-FinancialMath/setFinancialMath-Sect42-Bonds/math114-42-07.pg index 31cd5f6e6c..eba17fe83e 100644 --- a/OpenProblemLibrary/UVA-FinancialMath/setFinancialMath-Sect42-Bonds/math114-42-07.pg +++ b/OpenProblemLibrary/UVA-FinancialMath/setFinancialMath-Sect42-Bonds/math114-42-07.pg @@ -49,7 +49,7 @@ TEXT(EV2(<texStrings; BEGIN_SOLUTION -$PAR SOLUTION $PAR +$PAR SOLUTION $PAR Differentiating both sides of the equation \(x y = $a1 \) with respect to \(t\) gives -\[ \frac{dx}{dt}y + x \frac{dy}{dt} = 0 \] +\[ \frac{dx}{dt}y + x \frac{dy}{dt} = 0 \] or \[ \frac{dx}{dt} = - \frac{x}{y} \frac{dy}{dt} \] We have \( y = \displaystyle \frac{$a1 }{x}\), so \(y = $y\) when \(x = $c1\) . -Substituting \(y = $y, \; x= $c1\) and \( \displaystyle \frac{dy}{dt} = $b1\) in the expression for +Substituting \(y = $y, \; x= $c1\) and \( \displaystyle \frac{dy}{dt} = $b1\) in the expression for \( \displaystyle \frac{dx}{dt} \), we get \[ \frac{dx}{dt} = - \frac{$c1}{$y} \cdot ($b1) = $y1 \] END_SOLUTION diff --git a/OpenProblemLibrary/UVA-Stew5e/setUVA-Stew5e-C04S08-BusEconApps/4-8-13.pg b/OpenProblemLibrary/UVA-Stew5e/setUVA-Stew5e-C04S08-BusEconApps/4-8-13.pg index 31eed50344..f878ceb474 100644 --- a/OpenProblemLibrary/UVA-Stew5e/setUVA-Stew5e-C04S08-BusEconApps/4-8-13.pg +++ b/OpenProblemLibrary/UVA-Stew5e/setUVA-Stew5e-C04S08-BusEconApps/4-8-13.pg @@ -8,7 +8,7 @@ ## DBchapter(Applications of differentiation) ## DBsection(Optimization - business and economics) ## Date(5/29/2005) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(app_diff_opt_given_cost_and_demand_max_profit) ## MLTleader(1) diff --git a/OpenProblemLibrary/UVA-Stew5e/setUVA-Stew5e-C06S03-VolumesShells/6-3-11a.pg b/OpenProblemLibrary/UVA-Stew5e/setUVA-Stew5e-C06S03-VolumesShells/6-3-11a.pg index af746f20cd..2fc87f4a85 100644 --- a/OpenProblemLibrary/UVA-Stew5e/setUVA-Stew5e-C06S03-VolumesShells/6-3-11a.pg +++ b/OpenProblemLibrary/UVA-Stew5e/setUVA-Stew5e-C06S03-VolumesShells/6-3-11a.pg @@ -9,7 +9,7 @@ ## DBchapter(Applications of integration) ## DBsection(Volumes by washers) ## Date(6/5/2005) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(likeThis2) ## Level(4) @@ -55,7 +55,7 @@ $b = random(2,4,1) ; $a = ($c)**($b-1); TEXT(EV2(<'antider')); ENDDOCUMENT(); # This should be the last executable line in the problem. - diff --git a/OpenProblemLibrary/maCalcDB/setDerivatives2Formulas/ur_dr_2_12.pg b/OpenProblemLibrary/maCalcDB/setDerivatives2Formulas/ur_dr_2_12.pg index a41890a6d5..cdc465119a 100644 --- a/OpenProblemLibrary/maCalcDB/setDerivatives2Formulas/ur_dr_2_12.pg +++ b/OpenProblemLibrary/maCalcDB/setDerivatives2Formulas/ur_dr_2_12.pg @@ -4,7 +4,7 @@ ## DBsubject(Calculus - single variable) ## DBchapter(Differentiation) ## DBsection(Chain rule (without trigonometric functions)) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(Chain-SqrtOfLin2) ## MLTleader(1) diff --git a/OpenProblemLibrary/maCalcDB/setDerivatives3WordProblems/s2_3_10_mo.pg b/OpenProblemLibrary/maCalcDB/setDerivatives3WordProblems/s2_3_10_mo.pg index 7deef4315b..895239818d 100644 --- a/OpenProblemLibrary/maCalcDB/setDerivatives3WordProblems/s2_3_10_mo.pg +++ b/OpenProblemLibrary/maCalcDB/setDerivatives3WordProblems/s2_3_10_mo.pg @@ -5,7 +5,7 @@ ## DBchapter(Applications of differentiation) ## DBsection(Rates of change - general) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## Level(4) ## MO(1) diff --git a/OpenProblemLibrary/maCalcDB/setDerivatives6InverseTrig/sc3_6_32a_mo.pg b/OpenProblemLibrary/maCalcDB/setDerivatives6InverseTrig/sc3_6_32a_mo.pg index 21a7e4883f..54f8c7e3b6 100644 --- a/OpenProblemLibrary/maCalcDB/setDerivatives6InverseTrig/sc3_6_32a_mo.pg +++ b/OpenProblemLibrary/maCalcDB/setDerivatives6InverseTrig/sc3_6_32a_mo.pg @@ -9,7 +9,7 @@ ## DBchapter(Differentiation) ## DBsection(Derivatives of inverse trigonometric functions) ## Date(6/3/2002) -## Institution(Univeristy of Utah) +## Institution(University of Utah) ## Author(Utah ww group) ## MLT(DerivInvTrig-ProdSineArcsine) ## Level(2) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_001.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_001.pg index f8a963b0db..33ea94dfe9 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_001.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_001.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(12 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_002.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_002.pg index cd655ea7fe..23aa8bd33e 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_002.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_002.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(12 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_003.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_003.pg index a42eaa0aa6..6a7bcfde43 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_003.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_003.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(12 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_004.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_004.pg index adb0a464c2..b09368d891 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_004.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_004.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(12 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_005.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_005.pg index a44ffb8afe..bba7736195 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_005.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_005.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(12 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_006.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_006.pg index a281226c69..04d7603b55 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_006.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_006.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(12 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -51,4 +51,4 @@ END_TEXT ANS(num_cmp("$E")); -ENDDOCUMENT() \ No newline at end of file +ENDDOCUMENT() diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_007.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_007.pg index b59df1c937..aa7391dd42 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_007.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_007.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_008.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_008.pg index 491ab59e9c..a50ce4ea0d 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_008.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_008.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -50,4 +50,4 @@ END_TEXT ANS(num_cmp("$E")); -ENDDOCUMENT() \ No newline at end of file +ENDDOCUMENT() diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_009.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_009.pg index b654e505a1..5aa3cb8ac3 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_009.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_009.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_010.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_010.pg index e9728171ce..28e4e39fa7 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_010.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_010.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -62,4 +62,4 @@ ANS(num_cmp("$E")); ANS(num_cmp("$F")); -ENDDOCUMENT() \ No newline at end of file +ENDDOCUMENT() diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_011.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_011.pg index 11056d1b12..6637198ed9 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_011.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_011.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_013.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_013.pg index 84224a2102..42d99c36ce 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_013.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_013.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_014.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_014.pg index f2332cee36..9becacbea1 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_014.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_014.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -75,4 +75,4 @@ ANS(num_cmp("$F")); ANS(num_cmp("$G")); -ENDDOCUMENT() \ No newline at end of file +ENDDOCUMENT() diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_015.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_015.pg index 5294eeb16d..f0a6f5cf0c 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_015.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_015.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(13 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_016.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_016.pg index 176a98619f..19579b9e4b 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_016.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_016.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_017.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_017.pg index 44d74c2f4f..57cbc3d103 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_017.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_017.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_018.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_018.pg index dfef82b5ee..08394bfead 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_018.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_018.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -40,7 +40,7 @@ A photon of wavelength \($wavelength\) nm is incident on a hydrogen atom. When t $BR $BR -n = \{ans_rule(40)\} +n = \{ans_rule(40)\} $BR $BR diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_019.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_019.pg index 6ff4228a41..117f17bd78 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_019.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_019.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_020.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_020.pg index 6c19017cd1..fbfdbc1eb7 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_020.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_020.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -45,7 +45,7 @@ a) What is its ground-state radius? $BR $BR -\(a_0 / \)\{ans_rule(5)\} +\(a_0 / \)\{ans_rule(5)\} $BR $BR @@ -53,7 +53,7 @@ b) Calculate the energies of its four lowest energy states. $BR $BR -\{ans_rule(10)\} \(eV / n^2\) +\{ans_rule(10)\} \(eV / n^2\) $BR $BR @@ -61,7 +61,7 @@ c) Repeat the calculations for the \(Li^{2+}\) ion. $BR $BR -\(a_0 / \)\{ans_rule(5)\} +\(a_0 / \)\{ans_rule(5)\} $BR $BR diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_021.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_021.pg index 22fe4d99e8..c3087cf5f9 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_021.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_021.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -39,7 +39,7 @@ A triply ionized atom of beryllium \(Be^{3+}\) is a hydrogen-like ion. When \(Be $BR $BR -n = \{ans_rule(5)\} +n = \{ans_rule(5)\} $BR $BR diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_022.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_022.pg index 749e9a0830..b2c474b753 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_022.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_022.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -43,7 +43,7 @@ a) By what factor do the energies of the \(C^{5+}\) ion scale compare to the ene $BR $BR -\{ans_rule(40)\} +\{ans_rule(40)\} $BR $BR diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_023.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_023.pg index 37b4e79cc4..e68d938006 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_023.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_023.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_024.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_024.pg index 30db108694..4079dcbbee 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_024.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_024.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_025.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_025.pg index 949e562827..57f2ff46e6 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_025.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_025.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_026.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_026.pg index aac647fbb3..94e3af1854 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_026.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_026.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_027.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_027.pg index 5a7871f01a..9f99c70b17 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_027.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_027.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_028.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_028.pg index 2d4171ba24..9dd9e195c6 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_028.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_028.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_029.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_029.pg index b05f6c9f43..06a8cb5cf1 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_029.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_029.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_030.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_030.pg index adea9b82e1..3154579f72 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_030.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_030.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_031.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_031.pg index 1eb9829c70..88eea926b2 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_031.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_031.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_032.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_032.pg index 6a08f49f32..7eb2d902d4 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_032.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_032.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) @@ -38,7 +38,7 @@ Compare the wavelength shift of a photon scattered by a free electron to that of $BR $BR -Shift by a free electron is \{ans_rule(5)\} times the wavelength shift by a proton +Shift by a free electron is \{ans_rule(5)\} times the wavelength shift by a proton $BR $BR diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_033.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_033.pg index c2386d7bb8..c49a3298cc 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_033.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_033.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_034.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_034.pg index 9fa5b84244..3522e738f7 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_034.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_034.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_035.pg b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_035.pg index b42836ed89..0e847fbd93 100644 --- a/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_035.pg +++ b/Pending/BrockPhysics/University_Physics_Ling/6.Photons_and_Matter_Waves/6-07.Additional_Problems/NU_L17_06_07_035.pg @@ -4,7 +4,7 @@ ## DBsubject(Modern Physics) ## DBchapter(Photons and Matter Waves) -## DBsection(Aditional Problems) +## DBsection(Additional Problems) ## Date(14 March 2018) ## Institution(Brock University) ## Author(Kyle Winch) diff --git a/Pending/CUNY/CityTech/Calculus/setExplore_-_Instantaneous_Rate_of_Change/geogebra-slopes-zoom.pg b/Pending/CUNY/CityTech/Calculus/setExplore_-_Instantaneous_Rate_of_Change/geogebra-slopes-zoom.pg index ca17ec801d..a795d1f185 100644 --- a/Pending/CUNY/CityTech/Calculus/setExplore_-_Instantaneous_Rate_of_Change/geogebra-slopes-zoom.pg +++ b/Pending/CUNY/CityTech/Calculus/setExplore_-_Instantaneous_Rate_of_Change/geogebra-slopes-zoom.pg @@ -1,5 +1,5 @@ ##DESCRIPTION -## +## ##ENDDESCRIPTION @@ -12,7 +12,7 @@ ######################################################################## -DOCUMENT(); +DOCUMENT(); loadMacros( "PGstandard.pl", # Standard macros for PG language @@ -117,7 +117,7 @@ $multiAns = myMultiAnswer->new(Real(5),Real($m))->with( if ( $increment < $requiredInc ) { Value::Error("You haven't completed enough secant slopes.
(I hope you have been writing down your work.)"); } - if ( $error > 0.005 ) { + if ( $error > 0.005 ) { Value::Error("Take a look at your table of slopes.
Your estimation for the instantaneous slope does not seem to match their pattern."); } return 1; @@ -180,22 +180,22 @@ $applet = GeogebraWebApplet( ############################################### # -# For persistence of GeoGebra applet state +# For persistence of GeoGebra applet state # when answers are submitted or page is refreshed. # Uses JavaScript interface to GeoGebra. HEADER_TEXT( -qq! +qq! -