Difference between revisions of "LimitsOfIntegration1"
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This PG code shows how to put answer blanks into the limits of integration. |
This PG code shows how to put answer blanks into the limits of integration. |
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</p> |
</p> |
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− | * Download file: [[File:LimitsOfIntegration1.txt]] (change the file extension from txt to pg when you save it) |
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+ | * File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/IntegralCalc/LimitsOfIntegration1.pg FortLewis/Authoring/Templates/IntegralCalc/LimitsOfIntegration1.pg] |
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− | * File location in NPL: <code>FortLewis/Authoring/Templates/IntegralCalc/LimitsOfIntegration1.pg</code> |
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+ | * PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/IntegralCalc/LimitsOfIntegration1_PGML.pg FortLewis/Authoring/Templates/IntegralCalc/LimitsOfIntegration1_PGML.pg] |
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<br clear="all" /> |
<br clear="all" /> |
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<p> |
<p> |
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<b>Initialization:</b> |
<b>Initialization:</b> |
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+ | We must use <code>PGunion.pl</code> for table formatting commands we will use to put the answer blanks in the limits of integration. We use <code>answerHints.pl</code> to help guide students toward the correct answer. |
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</p> |
</p> |
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</td> |
</td> |
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<p> |
<p> |
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<b>Setup:</b> |
<b>Setup:</b> |
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+ | The block of code that puts the answer blanks into the exponents correctly in HTML and TeX modes probably does not need to be modified. |
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</p> |
</p> |
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</td> |
</td> |
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Context()->texStrings; |
Context()->texStrings; |
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BEGIN_TEXT |
BEGIN_TEXT |
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− | Question text |
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+ | Find a formula for the function \(f(x)\) such that |
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+ | \( \displaystyle f'(x)= $fpx \) and \( f(2)=5 \). |
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$BR |
$BR |
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$BR |
$BR |
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− | Answer = |
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+ | $integral |
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− | \{ ans_rule(20) \} |
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− | \{ AnswerFormatHelp("formulas") \} |
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END_TEXT |
END_TEXT |
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Context()->normalStrings; |
Context()->normalStrings; |
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<p> |
<p> |
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<b>Main Text:</b> |
<b>Main Text:</b> |
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+ | To display the integral with answer blanks in the limits of integration properly, we insert it using <code>$integral</code>. |
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</p> |
</p> |
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</td> |
</td> |
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$showPartialCorrectAnswers = 1; |
$showPartialCorrectAnswers = 1; |
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− | ANS( |
+ | ANS( Compute("5")->cmp() ); |
+ | ANS( Compute("x")->cmp() ); |
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+ | ANS( Compute("2")->cmp() ); |
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+ | ANS( Compute("$fpt * dt")->cmp() |
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+ | ->withPostFilter(AnswerHints( |
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+ | Formula("$fpx") => "Are you using the correct variable?", |
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+ | Formula("$fpx*dx") => "Are you using the correct variable?", |
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+ | Formula("$fpt") => "Don't forget the differential dt", |
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+ | )) |
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+ | ); |
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</pre> |
</pre> |
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<td style="background-color:#eeccff;padding:7px;"> |
<td style="background-color:#eeccff;padding:7px;"> |
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<p> |
<p> |
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<b>Answer Evaluation:</b> |
<b>Answer Evaluation:</b> |
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+ | We use <code>AnswerHints</code> to guide the students to the correct answer. |
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</p> |
</p> |
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</td> |
</td> |
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Context()->texStrings; |
Context()->texStrings; |
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BEGIN_SOLUTION |
BEGIN_SOLUTION |
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− | ${PAR}SOLUTION:${PAR} |
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Solution explanation goes here. |
Solution explanation goes here. |
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END_SOLUTION |
END_SOLUTION |
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Context()->normalStrings; |
Context()->normalStrings; |
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− | COMMENT('MathObject version.'); |
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+ | |||
+ | COMMENT('MathObject version'); |
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ENDDOCUMENT(); |
ENDDOCUMENT(); |
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[[Category:Top]] |
[[Category:Top]] |
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− | [[Category: |
+ | [[Category:Sample Problems]] |
+ | [[Category:Subject Area Templates]] |
Revision as of 21:38, 13 June 2015
Answer Blanks in the Limits of Integration
This PG code shows how to put answer blanks into the limits of integration.
- File location in OPL: FortLewis/Authoring/Templates/IntegralCalc/LimitsOfIntegration1.pg
- PGML location in OPL: FortLewis/Authoring/Templates/IntegralCalc/LimitsOfIntegration1_PGML.pg
PG problem file | Explanation |
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Problem tagging: |
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DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "PGunion.pl", "answerHints.pl", ); TEXT(beginproblem()); |
Initialization:
We must use |
Context("Numeric"); Context()->variables->are( x=>"Real", dx=>"Real", t=>"Real", dt=>"Real" ); $fpx = Formula("sin(x)"); $fpt = Formula("sin(t)"); # # Display the answer blanks properly in different modes # Context()->texStrings; if ($displayMode eq 'TeX') { $integral = '\(\displaystyle f(x) = '. ans_rule(4). '+ \int_{t = '. ans_rule(4). '}^{t = '. ans_rule(4). '}'. ans_rule(20). '\)'; } else { $integral = BeginTable(center=>0). Row([ '\(f(x)=\)'.$SPACE.ans_rule(4).$SPACE.'\(+\displaystyle\int\)', '\( t = \)'.ans_rule(4).$BR.$BR.'\( t = \)'.ans_rule(4), ans_rule(20)],separation=>2). EndTable(); } Context()->normalStrings; |
Setup: The block of code that puts the answer blanks into the exponents correctly in HTML and TeX modes probably does not need to be modified. |
Context()->texStrings; BEGIN_TEXT Find a formula for the function \(f(x)\) such that \( \displaystyle f'(x)= $fpx \) and \( f(2)=5 \). $BR $BR $integral END_TEXT Context()->normalStrings; |
Main Text:
To display the integral with answer blanks in the limits of integration properly, we insert it using |
$showPartialCorrectAnswers = 1; ANS( Compute("5")->cmp() ); ANS( Compute("x")->cmp() ); ANS( Compute("2")->cmp() ); ANS( Compute("$fpt * dt")->cmp() ->withPostFilter(AnswerHints( Formula("$fpx") => "Are you using the correct variable?", Formula("$fpx*dx") => "Are you using the correct variable?", Formula("$fpt") => "Don't forget the differential dt", )) ); |
Answer Evaluation:
We use |
Context()->texStrings; BEGIN_SOLUTION Solution explanation goes here. END_SOLUTION Context()->normalStrings; COMMENT('MathObject version'); ENDDOCUMENT(); |
Solution: |