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Wed Jul 18 15:40:35 2007 UTC (5 years, 10 months ago) by jjholt
File size: 1288 byte(s)
Added Stew6e tags.


    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('37')
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
30 "PG.pl",
31 "PGbasicmacros.pl",
32 "PGchoicemacros.pl",
34 "PGauxiliaryFunctions.pl",
36 );
37
38 TEXT(beginproblem());
39 $showPartialCorrectAnswers = 1; 40 41$a = random(1,5,1);
42 $b = random(6,10,1); 43$c = random(6,10,1);
44 $d = sqrt($b*$c)/($b);
45
46 TEXT(EV2(<<EOT));
47 Find all critical values for the function
48 $f(r) = \frac{a r}{b r^2 + c}$
49 and then list them (separated by commas) in the box below.
50 $PAR 51 List of critical numbers: \{ans_rule(36) \} 52 EOT 53 54$ans = "-$d,$d";
55 ANS(number_list_cmp(\$ans));
56
57 ENDDOCUMENT();        # This should be the last executable line in the problem.