EquationImplicitFunction1
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Answer is an Equation that Implicitly Defines a Function
This PG code shows how to have an answer that is an equation that implicitly defines a function.
- Download file: File:EquationImplicitFunction1.txt (change the file extension from txt to pg when you save it)
- File location in NPL:
FortLewis/Authoring/Templates/Algebra/EquationImplicitFunction1.pg
| PG problem file | Explanation |
|---|---|
|
Problem tagging: |
|
DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "parserImplicitEquation.pl", "AnswerFormatHelp.pl", ); TEXT(beginproblem()); |
Initialization: |
Context("ImplicitEquation");
Context()->{error}{msg}{
"Can't find any solutions to your equation"} = " ";
Context()->{error}{msg}{
"Can't generate enough valid points for comparison"} = " ";
Context()->variables->set(
x=>{limits=>[-6,11]},
y=>{limits=>[-6,11]},
);
$a = random(1,5,1);
$b = random(1,5,1);
$r = random(2,5,1);
$answer = ImplicitEquation(
"(x-$a)^2 + (y-$b)^2 = $r^2",
solutions=>[
[$a,$b+$r],
[$a,$b-$r],
[$a+$r,$b],
[$a-$r,$b],
[$a+$r*sqrt(2)/2,$b+$r*sqrt(2)/2],
]
);
|
Setup: |
Context()->texStrings;
BEGIN_TEXT
Enter an equation for a circle in the xy-plane
of radius \( $r \) centered at \( ($a,$b) \).
$BR
$BR
\{ ans_rule(40) \}
\{ AnswerFormatHelp("equation") \}
END_TEXT
Context()->normalStrings;
|
Main Text: |
$showPartialCorrectAnswers = 1; ANS( $answer->cmp() ); |
Answer Evaluation: The answer evaluator used is very sensitive and finicky, so it is strongly recommended that you read about it at parserImplicitEquation.pl.html |
Context()->texStrings;
BEGIN_SOLUTION
${PAR}SOLUTION:${PAR}
Solution explanation goes here.
END_SOLUTION
Context()->normalStrings;
COMMENT("MathObject version.");
ENDDOCUMENT();
|
Solution: |
