[npl] / trunk / NationalProblemLibrary / Dartmouth / setMTWCh2S2 / UR_VC_5_7.pg Repository: Repository Listing bbplugincoursesdistsnplrochestersystemwww

# View of /trunk/NationalProblemLibrary/Dartmouth/setMTWCh2S2/UR_VC_5_7.pg

Tue Jun 26 21:45:47 2007 UTC (5 years, 10 months ago) by jjholt
File size: 995 byte(s)
Updated tags. --JJH


    1 ## DESCRIPTION
2 ## Calculus
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('vector' 'limit')
6 ## Tagged by tda2d
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Differentiation')
10 ## DBsection('Partial Derivatives and Continuity')
11 ## Date('')
12 ## Author('')
13 ## Institution('Dartmouth')
14 ## TitleText1('Basic Multivariable Calculus')
15 ## EditionText1('')
16 ## AuthorText1('Marsden, Tromba, Weinstein')
17 ## Section1('2.2')
18 ## Problem1('')
19
20 DOCUMENT();
21
23 "PG.pl",
24 "PGbasicmacros.pl",
25 "PGchoicemacros.pl",
27 "PGauxiliaryFunctions.pl"
28 );
29
30 TEXT(beginproblem());
31 $showPartialCorrectAnswers = 1; 32 33$a = random(1, 5);
34 $b = random(1, 5); 35$c = random(1, 5);
36 $d = random(1, 5); 37 38$ans = ($d *$c * exp($a**2 +$b**2)) / ($a**3 +$b**3 + $c**3); 39 40 BEGIN_TEXT 41$PAR
42 Find the limit, if it exists, or type N if it does not exist.
43 $PAR 44 $$\lim_{(x, y, z) \rightarrow (a, b, c)} \frac{{d}ze^{x^2+y^2}}{{a}x^2 + 45 {b}y^2 + {c}z^2} =$$ \{ ans_rule(40) \} 46 END_TEXT 47 ANS(num_cmp($ans, strings=>['N']));
48
49 ENDDOCUMENT();