View of /trunk/NationalProblemLibrary/UVA-Stew5e/setUVA-Stew5e-C04S01-MaxMinValues/4-1-35.pg

    1 ## DESCRIPTION
    2 ##  Calculus: Maximum and Minimum Values
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('derivatives', 'minimum', 'maximum')
    6 ## Tagged by YL
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Applications of Differentiation')
   10 ## DBsection('Maximum and Minimum Values')
   11 ## Date('5/29/2005')
   12 ## Author('Jeff Holt')
   13 ## Institution('UVA')
   14 ## TitleText1('Calculus: Early Transcendentals')
   15 ## EditionText1('5')
   16 ## AuthorText1('Stewart')
   17 ## Section1('4.1')
   18 ## Problem1('35')
   19 
   20 ## TitleText2('Calculus: Early Transcendentals')
   21 ## EditionText2('6')
   22 ## AuthorText2('Stewart')
   23 ## Section2('4.1')
   24 ## Problem2('')
   25 
   26 
   27 DOCUMENT();        # This should be the first executable line in the problem.
   28 
   29 loadMacros(
   30 "PG.pl",
   31 "PGbasicmacros.pl",
   32 "PGchoicemacros.pl",
   33 "PGanswermacros.pl",
   34 "PGauxiliaryFunctions.pl",
   35 "extraAnswerEvaluators.pl"
   36 );
   37 
   38 TEXT(beginproblem());
   39 $showPartialCorrectAnswers = 1;
   40 
   41 $a1 = random(1,5,1);
   42 $b1 = random(6,10,1);
   43 $coef3 = 2;
   44 $coef2 = 3*($a1+$b1);
   45 $coef1 = 6*$a1*$b1;
   46 $coef0 = random(1,11,1);
   47 
   48 TEXT(EV2(<<EOT));
   49 Find all critical values for the function
   50 \[ f(x) = $coef3 x^3 - $coef2 x^2 + $coef1 x - $coef0 \]
   51 and then list them (separated by commas) in the box below.
   52 $PAR
   53 List of critical numbers: \{ans_rule(16) \}
   54 EOT
   55 
   56 $ans = "$a1,$b1";
   57 ANS(number_list_cmp($ans));
   58 
   59 ENDDOCUMENT();        # This should be the last executable line in the problem.