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# View of /trunk/NationalProblemLibrary/ASU-topics/setCalculus/stef13_3.pg

Sat Sep 8 05:17:01 2007 UTC (5 years, 8 months ago) by sh002i
File size: 1347 byte(s)
Added tags for Rogawski's "Calculus: Early Transcendentals".


    1 ## DESCRIPTION
2 ## Multivariable Calculus
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('calculus','arc length')
6 ## Tagged by cmd6a 3/12/06
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Vector Functions')
10 ## DBsection('Arc Length and Curvature')
11 ## Date('')
12 ## Author('')
13 ## Institution('ASU')
14 ## TitleText1('')
15 ## EditionText1('')
16 ## AuthorText1('')
17 ## Section1('')
18 ## Problem1('')
19 ## TitleText2('Calculus: Early Transcendentals')
20 ## EditionText2('1')
21 ## AuthorText2('Rogawski')
22 ## Section2('13.3')
23 ## Problem2('1 2 3 4 5 6')
24
25 DOCUMENT();
27            "PGbasicmacros.pl",
28            "PGchoicemacros.pl",
30            "PGauxiliaryFunctions.pl",
31            "PGgraphmacros.pl",
32            "Dartmouthmacros.pl");
33
34
35 ## Do NOT show partial correct answers
36 $showPartialCorrectAnswers = 1; 37 38 ## Lots of set up goes here 39$b = random(2,9,1);
40 $two_b = 2 *$b;
41
42 $mult = random(2,5,1); 43 44 ## Ok, we are ready to begin the problem... 45 ## 46 TEXT(beginproblem()); 47 48 49 BEGIN_TEXT 50$BR
51 Consider the path
52     $$\mathbf{r}(t) = (two_b t, b t^2, b\ln t)$$ defined for $$t > 0$$.
53 $BR 54 Find the length of the curve between the points 55 $$(two_b, b, 0)$$ and $$(\{two_b * mult\}, \{ b * mult**2 \}, b \ln(mult))$$. 56$BR
57     \{ans_rule(40)\}
58 $PAR 59 END_TEXT 60 61 62$ans = $b *$mult**2 + $b * ln($mult) - $b; 63 ANS(num_cmp($ans));
64 ENDDOCUMENT();
65
66
67
68