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# View of /trunk/NationalProblemLibrary/Rochester/setIntegrals19Area/osu_in_19_15.pg

Sat Sep 8 05:17:01 2007 UTC (5 years, 9 months ago) by sh002i
File size: 1113 byte(s)
```Added tags for Rogawski's "Calculus: Early Transcendentals".
```

```    1 ## DESCRIPTION
2 ## Calculus
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS ('integration','graph','area')
6 ## Tagged by cmd6a 4/26/06
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Applications of Integration')
10 ## DBsection('Areas Between Curves')
11 ## Date('1/19/2000')
12 ## Author('Zig Fiedorowicz')
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('19')
24
25 DOCUMENT();
26
28 "PG.pl",
29 "PGbasicmacros.pl",
30 "PGchoicemacros.pl",
32 "PGauxiliaryFunctions.pl"
33 );
34
35 \$showPartialCorrectAnswers = 1;
36
37 \$a = random(1,5,1);
38 \$a1 = random(1,3,1);
39 \$c = \$a +\$a1;
40 \$lin =  -\$a*\$c;
41 \$quadr = \$a+\$c;
42 \$eva = \$quadr*\$a**3/3-\$a**4/4+\$lin*\$a**2/2;
43 \$evc = \$quadr*\$c**3/3-\$c**4/4+\$lin*\$c**2/2;
44 \$answ = abs(\$eva)+abs(\$evc-\$eva);
45 \$c2 = \$quadr +1;
46 \$c1 = -\$lin+1;
47
48 TEXT(beginproblem());
49 BEGIN_TEXT
50 The total area enclosed by the graphs of
51 \[y = \$c2 x^2 - x^3 + x\]
52 \[y = x^2 + \$c1 x\]
53 is \{ ans_rule()\}
54 END_TEXT
55
56 ANS(num_cmp(\$answ));
57
58 ENDDOCUMENT();
59
```

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