## DESCRIPTION
## Parametric equations: graphing a parametric curve in space
## ENDDESCRIPTION

## KEYWORDS('parametric', 'curve in space')

## DBsubject('WeBWorK')
## DBchapter('WeBWorK Tutorial')
## DBsection('Fort Lewis Tutorial 2011')
## Date('01/30/2011')
## Author('Paul Pearson')
## Institution('Fort Lewis College')
## TitleText1('')
## EditionText1('')
## AuthorText1('')
## Section1('')
## Problem1('')


###########################
#  Initialization

DOCUMENT();

loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"LiveGraphicsParametricCurve3D.pl",
);

TEXT(beginproblem());


##########################
#  Setup

Context("Numeric");
Context()->variables->are(x=>"Real",y=>"Real",z=>"Real",t=>"Real");

$plot = ParametricCurve3D(
Fx => Formula("t*cos(t)"),
Fy => Formula("t*sin(t)"),
Fz => Formula("t"),
tvar => "t",
tmin =>  0,
tmax =>  10,
tsamples => 50,
axesframed => 1,
xaxislabel => "X",
yaxislabel => "Y",
zaxislabel => "Z",
outputtype => 4,
);


##########################
#  Main Text 

Context()->texStrings;
BEGIN_TEXT
\{ 
Live3Ddata(
$plot,
image => "spiral.png", 
size => [400,400],
tex_size => 600,
tex_center => 1,
scale => 1.1,
);
\}
END_TEXT
Context()->normalStrings;


########################
#  Answer Evaluation

$showPartialCorrectAnswers = 0;


############################
#  Solution

Context()->texStrings;
BEGIN_SOLUTION
${PAR}SOLUTION:${PAR}
Solution explanation goes here.
END_SOLUTION
Context()->normalStrings;

COMMENT('MathObject version.');

ENDDOCUMENT();