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Tue Jul 10 12:42:27 2007 UTC (5 years, 11 months ago) by jjholt
File size: 1071 byte(s)
Fixed Tags. --JJH


    1 ## DESCRIPTION
2 ## Instantaneous Rate of Change
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('instantaneous', 'rate of change', 'application', 'derivative')
6 ## Tagged by YL
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Differentiation')
10 ## DBsection('Rates of Change in the Natural and Social Sciences')
11 ## Date('')
12 ## Author('')
13 ## Institution('ASU')
14 ## TitleText1('Calculus')
15 ## EditionText1('5e')
16 ## AuthorText1('Stewart')
17 ## Section1('3.3')
18 ## Problem1('')
19
20 DOCUMENT();
21
23 "PG.pl",
24 "PGbasicmacros.pl",
25 "PGchoicemacros.pl",
27 "PGauxiliaryFunctions.pl"
28 );
29
30 TEXT(beginproblem());
31 $showpartialcorrectanswers = 1; 32 33$a = random(15,25, 1);
34 $b = random(1,4,1); 35$c = random(6,8,1);
36
37 TEXT(EV2(<<EOT));
38 If a person learns $$y$$ items in $$x$$ hours, as given by
39 $y = a \sqrt[3]{x^2},$
40 find the rate of learning for a person at the end of:
41 $BR 42 (A)$b hours: \{ans_rule(30) \}
43 $BR 44 EOT 45 46$ans = ((2*$a)/3)*($b**(-1/3));
47 ANS(num_cmp($ans)); 48 49 TEXT(EV2(<<EOT)); 50 (B)$c hours: \{ans_rule(30) \}
51 $BR 52 EOT 53 54$ans = ((2*$a)/3)*($c**(-1/3));
55 ANS(num_cmp(\$ans));
56
57
58 ENDDOCUMENT();