Spacecurve1: Difference between revisions

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m (Deprecate examples using LiveGraphics3D)
(add historical tag and give links to newer problems.)
 
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<h2>Deprecated: A Parametric Curve in Space</h2>
{{historical}}
 
<p style="font-size: 120%;font-weight:bold">This problem has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/Parametric/SpaceCurve.html a newer version of this problem]</p>
 
<h2>A Parametric Curve in Space</h2>


[[File:Spacecurve1.png|300px|thumb|right|Click to enlarge]]
[[File:Spacecurve1.png|300px|thumb|right|Click to enlarge]]
<p style="background-color:#f9f9f9;border:black solid 1px;padding:3px;">
<p style="background-color:#f9f9f9;border:black solid 1px;padding:3px;">
This PG code shows how to ask a parametric curve question with three answer blanks and use MultiAnswer to check the answer.  It is deprecated because Java is no longer universally supported on all web browsers and platforms.
This PG code shows how to ask a parametric curve question with three answer blanks and use MultiAnswer to check the answer.
</p>
</p>
* File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Parametric/Spacecurve1.pg FortLewis/Authoring/Templates/Parametric/Spacecurve1.pg]
* File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Parametric/Spacecurve1.pg FortLewis/Authoring/Templates/Parametric/Spacecurve1.pg]
* PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Parametric/Spacecurve1_PGML.pg FortLewis/Authoring/Templates/Parametric/Spacecurve1_PGML.pg]


<br clear="all" />
<br clear="all" />
Line 15: Line 20:


<tr valign="top">
<tr valign="top">
<th> PG problem file </th>
<th style="width: 40%"> PG problem file </th>
<th> Explanation </th>
<th> Explanation </th>
</tr>
</tr>
Line 42: Line 47:


loadMacros(
loadMacros(
"PGstandard.pl",
  'PGstandard.pl',
"MathObjects.pl",
  'MathObjects.pl',
"parserMultiAnswer.pl",
  'parserMultiAnswer.pl',
"AnswerFormatHelp.pl",
  'PGML.pl',
  'PGcourse.pl'
);
);


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<td style="background-color:#ffdddd;border:black 1px dashed;">
<td style="background-color:#ffdddd;border:black 1px dashed;">
<pre>
<pre>
Context()->texStrings;
BEGIN_PGML
BEGIN_TEXT
Find a parametrization of the curve [` x = [$a] z^2 `]
Find a parametrization of the curve \( x = $a z^2 \)
in the [`xz`]-plane.  Use [` t `] as the
in the \(xz\)-plane.  Use \( t \) as the  
parameter for all of your answers.
parameter for all of your answers.
$BR
 
$BR
- [` x(t) = `] [______________]{$multians}
\( x(t) = \) \{$multians->ans_rule(20)\}
- [` y(t) = `] [______________]{$multians}
\{ AnswerFormatHelp("formulas") \}
- [` z(t) = `] [______________]{$multians}
$BR
 
\( y(t) = \) \{$multians->ans_rule(20)\}
[@ helpLink('formulas') @]*
\{ AnswerFormatHelp("formulas") \}
END_PGML
$BR
\( z(t) = \) \{$multians->ans_rule(20)\}
\{ AnswerFormatHelp("formulas") \}
END_TEXT
Context()->normalStrings;
</pre>
</pre>
<td style="background-color:#ffcccc;padding:7px;">
<td style="background-color:#ffcccc;padding:7px;">
<p>
<p>
<b>Main Text:</b>
<b>Main Text:</b>
Notice that we use <code>$multians-&gt;ans_rule(20)</code> (instead of just <code>ans_rule(20)</code>) so that the multianswer object is aware of all of the answer blanks.
Notice that we use <code>$multians</code> in each answer blank because they results in the three answers are dependent on each other.
</p>
</td>
</tr>
 
<!-- Answer evaluation section -->
 
<tr valign="top">
<td style="background-color:#eeddff;border:black 1px dashed;">
<pre>
$showPartialCorrectAnswers = 0;
 
ANS($multians->cmp());
</pre>
<td style="background-color:#eeccff;padding:7px;">
<p>
<b>Answer Evaluation:</b>
</p>
</p>
</td>
</td>
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<td style="background-color:#ddddff;border:black 1px dashed;">
<td style="background-color:#ddddff;border:black 1px dashed;">
<pre>
<pre>
Context()->texStrings;
BEGIN_PGML_SOLUTION
BEGIN_SOLUTION
Solution explanation goes here.
Solution explanation goes here.
END_SOLUTION
END_PGML_SOLUTION
Context()->normalStrings;
 
COMMENT('MathObject version.');


ENDDOCUMENT();
ENDDOCUMENT();

Latest revision as of 11:50, 18 July 2023

This article has been retained as a historical document. It is not up-to-date and the formatting may be lacking. Use the information herein with caution.

This problem has been replaced with a newer version of this problem

A Parametric Curve in Space

Click to enlarge

This PG code shows how to ask a parametric curve question with three answer blanks and use MultiAnswer to check the answer.


Templates by Subject Area

PG problem file Explanation

Problem tagging data

Problem tagging: 

DOCUMENT();      

loadMacros(
  'PGstandard.pl',
  'MathObjects.pl',
  'parserMultiAnswer.pl',
  'PGML.pl',
  'PGcourse.pl'
);

TEXT(beginproblem());

Initialization: Since we will have multiple answer blanks that depend on each other, we need to use parserMultiAnswer.pl. 

Context("Numeric");
Context()->variables->are(t=>"Real");
Context()->variables->set(t=>{limits=>[0,10]});

$a = random(-5,-2,1);
$x = Formula("$a * t**2");
$y = Formula("0");
$z = Formula("t");

$multians = MultiAnswer($x, $y, $z)->with(
  singleResult => 1,
  checker => sub {
      my ( $correct, $student, $self ) = @_;
      my ( $xstu, $ystu, $zstu ) = @{$student};
      return 0 unless $xstu->isFormula;
      if (($xstu==$a*$zstu**2) && ($ystu==0)) {
            return 1;
      } else {
            return 0;
      }
  }
);

Setup: We use singleResult => 1 since it doesn't make sense to say that x(t) is correct but z(t) is incorrect since they depend on one another. First, we check that the student hasn't fed us a bogus constant solution such as x=y=z=0 by requiring the x-coordinate to be a formula (not a constant) via return 0 unless $xstu->isFormula;. Then, we check that the student's answers satisfy the parametric equation. 

BEGIN_PGML
Find a parametrization of the curve [` x = [$a] z^2 `]
in the [`xz`]-plane.  Use [` t `] as the
parameter for all of your answers.

- [` x(t) = `] [______________]{$multians}
- [` y(t) = `] [______________]{$multians}
- [` z(t) = `] [______________]{$multians}

[@ helpLink('formulas') @]*
END_PGML

Main Text: Notice that we use $multians in each answer blank because they results in the three answers are dependent on each other. 

BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION

ENDDOCUMENT();

Solution:

Templates by Subject Area

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