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# View of /trunk/NationalProblemLibrary/Rochester/setIntegrals19Area/sc6_1_14.pg

Sun Jul 4 05:47:09 2010 UTC (2 years, 10 months ago) by sroubos
File size: 1194 byte(s)
Fixed bug 1195

    1 ## DESCRIPTION
2 ## Calculus
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS ('integration','graph','area','trigonometric')
6 ## Tagged by cmd6a 4/26/06
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Applications of Integration')
10 ## DBsection('Areas Between Curves')
11 ## Date('')
12 ## Author('')
13 ## Institution('Rochester')
14 ## TitleText1('')
15 ## EditionText1('')
16 ## AuthorText1('')
17 ## Section1('')
18 ## Problem1('')
19 ## TitleText2('Calculus: Early Transcendentals')
20 ## EditionText2('1')
21 ## AuthorText2('Rogawski')
22 ## Section2('6.1')
23 ## Problem2('45')
24
25 DOCUMENT();        # This should be the first executable line in the problem.
26
28 "PG.pl",
29 "PGbasicmacros.pl",
30 "PGchoicemacros.pl",
32 "PGauxiliaryFunctions.pl"
33 );
34
35 TEXT(beginproblem());
36 $showPartialCorrectAnswers = 1; 37 38$a=random(2, 9);
39 $b=random(3, 9); 40$soln = 2*($b**2-$a/sqrt(2));
41
42 TEXT(EV2(<<EOT));
43 Sketch the region enclosed by the given curves.
44 Decide whether to integrate with respect to x or y.
45 Then find the area of the region.
46 $BR $$y = a \cos x, \ \ y = (b \sec(x))^2, \ \ x = -\pi / 4, \ \ x = \pi / 4$$ 47$BR \{ans_rule(30) \}
48 EOT
49 ANS(num_cmp(\$soln));
50
51 ENDDOCUMENT();        # This should be the last executable line in the problem.


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