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Wed Jul 18 01:12:07 2007 UTC (5 years, 10 months ago) by jjholt
File size: 1317 byte(s)
Fixed title, edition 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 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(.3,.9, .1);
34 $b = random(1,5,1); 35$c = random(7,12,1);
36
37 TEXT(EV2(<<EOT));
38 A coal-burning electrical generating plant emits sulfur dioxide
39 into the surrounding air.  The concentration $$C(x)$$, in parts per
40 million, is approximately given by the function
41 $C(x) = \frac{a}{x^2},$
42 where $$x$$ is the distance away from the plant in miles.
43 $BR 44 The instantaneous rate of change of the sulfur dioxide 45 concentration: 46$BR
47 (A) $b miles from the plant = \{ans_rule(30) \} 48$BR
49 EOT
50
51 $ans = (-2)*$a*(($b)**(-3)); 52 ANS(num_cmp($ans));
53
54 TEXT(EV2(<<EOT));
55 (B) $c miles from the plant = \{ans_rule(30) \} 56$BR
57 EOT
58
59 $ans = -2*$a*($c**(-3)); 60 ANS(num_cmp($ans));
61
62
63 ENDDOCUMENT();