View of /trunk/NationalProblemLibrary/Dartmouth/setMTWCh5S3/ur_vc_8_9.pg

    1 ##DESCRIPTION
    2 #
    3 # File Created: 6/2/2000
    4 # Last Modified: 6/2/2000
    5 # Problem Author: Joseph Neisendorfer
    6 # WeBWorK Entry: Victoria Sweetser
    7 # Location: University of Rochester
    8 #
    9 ##ENDDESCRIPTION
   10 
   11 ##KEYWORDS('Iterated Integral')
   12 
   13 
   14 DOCUMENT();   # This should be the first executable line in the problem.
   15 
   16 loadMacros("PG.pl",
   17            "PGbasicmacros.pl",
   18            "PGchoicemacros.pl",
   19            "PGanswermacros.pl",
   20            "PGauxiliaryFunctions.pl"
   21           );
   22 
   23 TEXT(&beginproblem);
   24 $showPartialCorrectAnswers = 1;
   25 
   26 $a = random(1, 8, 1);
   27 $b = random(1, 8, 1);
   28 $a3 = 3*$a;
   29 $b2 = 2*$b;
   30 BEGIN_TEXT
   31 Evaluate the iterated integral
   32 \( I = \int_{0}^{1}\!\!\int_{1-x}^{1+x} ($a3\!x^{2} + $b2\!y )\: dy dx \)
   33 $PAR
   34 \{ ans_rule(40) \}
   35 END_TEXT
   36 
   37 ANS( num_cmp( $a*(3/2) + 2*$b ) );
   38 
   39 ENDDOCUMENT();    # This should be the last executable line in the problem.