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# View of /trunk/NationalProblemLibrary/UCSB/Stewart5_4_7/Stewart5_4_7_10.pg

Sun Feb 6 02:23:13 2011 UTC (2 years, 3 months ago) by apizer
File size: 1055 byte(s)
`correct Stewart tags`

```    1 ## DBsubject('Calculus')
2 ## DBchapter('Applications of Differentiation')
3 ## DBsection('Optimization Problems')
4 ## KEYWORDS('Optimization','Differentiation')
5 ## TitleText1('Calculus: Early Transcendentals')
6 ## EditionText1('5')
7 ## AuthorText1('Stewart')
8 ## Section1('4.7')
9 ## Problem1('10')
10 ## Author('')
11 ## Institution('UCSB')
12
13
14 DOCUMENT();
15
17 "PG.pl",
18 "PGbasicmacros.pl",
19 "PGchoicemacros.pl",
21 "PGauxiliaryFunctions.pl"
22 );
23
24 TEXT(&beginproblem);
26 \$a=random(10,50,5);
27 #\$b=random(1,10,1)*random(-1,1,2);
28 #\$c=random(1,10,1)*random(-1,1,2);
29 \$b=4*\$a*\$a*\$a;
30
31 # Insert problem text between the \$PAR, and space for the
32 # answer, like this   \(y =\) \{ans_rule(50)\}
33 # just before the END_TEXT.
34
35 BEGIN_TEXT
36
37 \$PAR
38
39 A box with a square base and open top must have a volume of \$b
40 \(cm^3\). Find the dimensions of the box that minimize the amount
41 of material used.
42
43 \$PAR
44
45 base length = \{ans_rule(20)\} cm
46
47 \$PAR
48
49 height = \{ans_rule(20)\} cm
50
51 END_TEXT
52
53 ANS(num_cmp(2*\$a));
54 ANS(num_cmp(\$a));
55
56 ENDDOCUMENT();
```