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Wed Jul 18 15:40:35 2007 UTC (5 years, 11 months ago) by jjholt
File size: 1418 byte(s)
```Added Stew6e tags.
```

```    1 ##DESCRIPTION
2 ##Calculus: Differentiation
3 ##ENDDESCRIPTION
4
5 ##KEYWORDS('calculus', 'differentiation')
6 ##Tagged by YJ
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Differentiation')
10 ## DBsection('Implicit Differentiation')
11 ## Date('5/26/2005')
12 ## Author('Jeff Holt')
13 ## Institution('UVA')
14 ## TitleText1('Calculus: Early Transcendentals')
15 ## EditionText1('5')
16 ## AuthorText1('Stewart')
17 ## Section1('3.6')
18 ## Problem1('27')
19
20 ## TitleText2('Calculus: Early Transcendentals')
21 ## EditionText2('6')
22 ## AuthorText2('Stewart')
23 ## Section2('3.5')
24 ## Problem2('')
25
26 DOCUMENT();        # This should be the first executable line in the problem.
27
29 "PG.pl",
30 "PGbasicmacros.pl",
31 "PGchoicemacros.pl",
33 "PGauxiliaryFunctions.pl"
34 );
35
36 TEXT(beginproblem());
37 \$showPartialCorrectAnswers = 1;
38
39 \$a = random(5,7,1);
40 \$x1 = random(1,4,1);
41 \$y1 = ((\$x1**(3))*(\$a - \$x1))**(1/2);
42 \$m1 = ((3*(\$x1**(2))*(\$a - \$x1)) - (\$x1**(3)))/(2*\$y1);
43
44 TEXT(EV2(<<EOT));
45 Find the equation of the tangent line to the curve (a piriform)
46  \( y^{2} = x^{3} (\$a - x) \)
47 at the point \( ( \$x1 , \$y1 ) \).
48 The equation of this tangent line can be written in the form \( y = mx+b \)
49 where \( m \) is: \{ans_rule(30) \}
50 \$BR
51 EOT
52 \$ans = \$m1;
53 ANS(num_cmp(\$ans));
54
55 TEXT(EV2(<<EOT));
56 and  where \( b \) is: \{ans_rule(30) \}
57 \$BR
58 EOT
59 \$ans = \$y1 -\$m1*\$x1;
60 ANS(num_cmp(\$ans));
61
62 ENDDOCUMENT();        # This should be the last executable line in the problem.
```

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