stef16_1p2.pg

## DESCRIPTION
## Multivariable Calculus
## ENDDESCRIPTION

## Tagged by cmd6a 3/12/06


## DBsubject(Calculus - multivariable)
## DBchapter(Vector fields)
## DBsection(Graphs, flows lines, and level surfaces)
## Institution(ASU)
## Level(3)
## TitleText1('Calculus: Early Transcendentals')
## AuthorText1('Stewart')
## EditionText1('5')
## Section1('16.1')
## Problem1('14 15 16 17')
## TitleText2('Calculus: Early Transcendentals')
## AuthorText2('Stewart')
## EditionText2('6')
## Section2('16.1')
## Problem2('')
## TitleText3('Calculus: Early Transcendentals')
## AuthorText3('Rogawski')
## EditionText3('1')
## Section3('16.1')
## Problem3('14 15 16 17')
## KEYWORDS('calculus','vector field','gradient')


DOCUMENT();
loadMacros(
  "PGstandard.pl",
  "PGchoicemacros.pl",
  "PGgraphmacros.pl",
  "Dartmouthmacros.pl",
  "PGcourse.pl"
);
 

## Do NOT show partial correct answers
$showPartialCorrectAnswers = 0;

@questions = (
              "\( f(x,y) = x y  \)",
              "\( f(x,y) = x^2 - y^2  \)",
              "\( f(x,y) = x^2 + y^2  \)",
              "\( f(x,y) = \sqrt{x^2+y^2}\)"
              );

@images = (
            "1.gif",
            "2.gif",
            "3.gif",
            "4.gif"
             );

@subset = NchooseK(4,4);

@subset_of_questions = @questions[@subset];
@subset_of_images = @images[@subset];

@permutation = NchooseK(4,4);
@shuffled_subset_of_images = @subset_of_images[@permutation];


@captions = @ALPHABET[0..3];

## Ok, we are ready to begin the problem...
##
TEXT(beginproblem());


BEGIN_TEXT
$BR
Match the functions \( f \) with the plots of their gradient
vector fields labeled A-D.
  
$BR$BR
${BBOLD}A.$EBOLD$SPACE\{ image($shuffled_subset_of_images[0], width => 400, height => 400, extra_html_tags => 'align="middle"',
    alt=>"Gradient vector field plot showing arrows indicating direction and magnitude of the gradient of a function across a two-dimensional region."
) \}
$BR
${BBOLD}B.$EBOLD$SPACE\{ image($shuffled_subset_of_images[1], width => 400, height => 400, extra_html_tags => 'align="middle"',
    alt=>"Gradient vector field plot showing arrows indicating direction and magnitude of the gradient of a function across a two-dimensional region."
) \}
$BR
${BBOLD}C.$EBOLD$SPACE\{ image($shuffled_subset_of_images[2], width => 400, height => 400, extra_html_tags => 'align="middle"',
    alt=>"Gradient vector field plot showing arrows indicating direction and magnitude of gradient vectors across a two-dimensional region."
) \}
$BR
${BBOLD}D.$EBOLD$SPACE\{ image($shuffled_subset_of_images[3], width => 400, height => 400, extra_html_tags => 'align="middle"',
    alt=>"Gradient vector field plot showing arrows indicating direction and magnitude of the gradient of a function across a rectangular region."
) \}
$BR
$BR
\{ ans_rule(5)\} ${BBOLD}1.$EBOLD$SPACE $subset_of_questions[0]  $BR
\{ ans_rule(5)\} ${BBOLD}2.$EBOLD$SPACE $subset_of_questions[1]  $BR
\{ ans_rule(5)\} ${BBOLD}3.$EBOLD$SPACE $subset_of_questions[2]  $BR
\{ ans_rule(5)\} ${BBOLD}4.$EBOLD$SPACE $subset_of_questions[3] 
END_TEXT

ANS(str_cmp([@ALPHABET[invert(@permutation)]]));
ENDDOCUMENT();