Difference between revisions of "Spacecurve1"

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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>
  
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{{historical}}
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<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This problem has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/Parametric/SpaceCurve.html a newer version of this problem]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;">
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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.
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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]
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* 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" />
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<tr valign="top">
  
<tr valign="top">
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<th> PG problem file </th>
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<th style="width: 40%"> PG problem file </th>
 
<th> Explanation </th>
  
<th> Explanation </th>
 
</tr>
  
</tr>
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loadMacros(
  
loadMacros(
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"PGstandard.pl",
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'PGstandard.pl',
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"MathObjects.pl",
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'MathObjects.pl',
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"parserMultiAnswer.pl",
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'parserMultiAnswer.pl',
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"AnswerFormatHelp.pl",
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'PGML.pl',
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'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>
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Context()->texStrings;
  
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BEGIN_PGML
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BEGIN_TEXT
  
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Find a parametrization of the curve [` x = [$a] z^2 `]
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Find a parametrization of the curve \( x = $a z^2 \)
 
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in the [`xz`]-plane. Use [` t `] as the
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in the \(xz\)-plane. Use \( t \) as the
 
 
parameter for all of your answers.
  
parameter for all of your answers.
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$BR
  
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−
$BR
  
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- [` x(t) = `] [______________]{$multians}
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\( x(t) = \) \{$multians->ans_rule(20)\}
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- [` y(t) = `] [______________]{$multians}
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\{ AnswerFormatHelp("formulas") \}
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- [` z(t) = `] [______________]{$multians}
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$BR
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−
\( y(t) = \) \{$multians->ans_rule(20)\}
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[@ helpLink('formulas') @]*
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\{ AnswerFormatHelp("formulas") \}
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END_PGML
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$BR
  
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\( z(t) = \) \{$multians->ans_rule(20)\}
  
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\{ AnswerFormatHelp("formulas") \}
  
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END_TEXT
  
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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>
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Notice that we use <code>$multians-&gt;ans_rule(20)</code> (instead of just <code>ans_rule(20)</code>) so that the multianswer object is aware of all of the answer blanks.
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Notice that we use <code>$multians</code> in each answer blank because they results in the three answers are dependent on each other.
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</p>
  
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</td>
  
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</tr>
  
−  
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<!-- Answer evaluation section -->
  
−  
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<tr valign="top">
  
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<td style="background-color:#eeddff;border:black 1px dashed;">
  
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<pre>
  
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$showPartialCorrectAnswers = 0;
  
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ANS($multians->cmp());
  
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</pre>
  
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<td style="background-color:#eeccff;padding:7px;">
  
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<p>
  
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<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>
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Context()->texStrings;
  
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BEGIN_PGML_SOLUTION
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BEGIN_SOLUTION
  
 
Solution explanation goes here.
  
Solution explanation goes here.
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END_SOLUTION
  
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END_PGML_SOLUTION
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Context()->normalStrings;
  
−  
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COMMENT('MathObject version.');
  
   
 
ENDDOCUMENT();
  
ENDDOCUMENT();

Latest revision as of 06:50, 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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