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Sat Sep 8 05:17:01 2007 UTC (5 years, 8 months ago) by sh002i
File size: 1247 byte(s)
```Added tags for Rogawski's "Calculus: Early Transcendentals".
```

```    1 ##DESCRIPTION
2 ##KEYWORDS('integrals', 'area between curvers')
3 ## kshort tagged and PAID on 2-20-2004
4 ## DBsubject('Calculus')
5 ## DBchapter('Applications of Integration')
6 ## DBsection('Areas Between Curves')
7 ## Date('6/3/2002')
8 ## Author('Arnie Pizer')
9 ## Institution('rochester')
10 ## TitleText1('Calculus: Early Transcendentals')
11 ## EditionText1('6')
12 ## AuthorText1('Stewart')
13 ## Section1('6.1')
14 ## Problem1('15,16,17,19')
15 ## TitleText2('Calculus: Early Transcendentals')
16 ## EditionText2('1')
17 ## AuthorText2('Rogawski')
18 ## Section2('6.1')
19 ## Problem2('41')
20 ##ENDDESCRIPTION
21
22 DOCUMENT();        # This should be the first executable line in the problem.
23
25 "PG.pl",
26 "PGbasicmacros.pl",
27 "PGchoicemacros.pl",
29 "PGauxiliaryFunctions.pl"
30 );
31
32 TEXT(beginproblem());
34
35 \$b=random(2, 8);
36 \$a= 1 - \$b;
37 \$c= - \$a * \$b;
38
39 \$soln = \$c * (\$b - \$a) + (\$b**2 - \$a**2)/2 - (\$b**3 - \$a**3)/3;
40
41
42 BEGIN_TEXT
43
44 Sketch the region enclosed by \( x + y^2 = \$c\) and \( x + y = 0 \).
45 Decide whether to integrate with respect to \(x\) or \(y\).
46 Then find the area of the region.
47 \$BR \{ans_rule( 60) \}
48 \$BR
49
50 END_TEXT
51
52 ANS(num_cmp(\$soln));
53
54 ENDDOCUMENT();        # This should be the last executable line in the problem.
```