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# View of /trunk/NationalProblemLibrary/ASU-topics/setDerivativeBasicFunctions/3-4-88.pg

Wed Jul 18 15:40:35 2007 UTC (5 years, 10 months ago) by jjholt
File size: 1225 byte(s)
Added Stew6e tags.


    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: Early Transcendentals')
15 ## EditionText1('5')
16 ## AuthorText1('Stewart')
17 ## Section1('3.3')
18 ## Problem1('')
19
20 ## TitleText2('Calculus: Early Transcendentals')
21 ## EditionText2('6')
22 ## AuthorText2('Stewart')
23 ## Section2('3.7')
24 ## Problem2('')
25
26 DOCUMENT();
27
29 "PG.pl",
30 "PGbasicmacros.pl",
31 "PGchoicemacros.pl",
33 "PGauxiliaryFunctions.pl"
34 );
35
36 TEXT(beginproblem());
37 $showpartialcorrectanswers = 1; 38 39$a = random(15,25, 1);
40 $b = random(1,4,1); 41$c = random(6,8,1);
42
43 TEXT(EV2(<<EOT));
44 If a person learns $$y$$ items in $$x$$ hours, as given by
45 $y = a \sqrt[3]{x^2},$
46 find the rate of learning for a person at the end of:
47 $BR 48 (A)$b hours: \{ans_rule(30) \}
49 $BR 50 EOT 51 52$ans = ((2*$a)/3)*($b**(-1/3));
53 ANS(num_cmp($ans)); 54 55 TEXT(EV2(<<EOT)); 56 (B)$c hours: \{ans_rule(30) \}
57 $BR 58 EOT 59 60$ans = ((2*$a)/3)*($c**(-1/3));
61 ANS(num_cmp(\$ans));
62
63
64 ENDDOCUMENT();