Parent Directory
| 
Revision Log
Revision 269 - (view) (download)
| 1 : | jjholt | 156 | ## DESCRIPTION |
| 2 : | ## Calculus | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | jj | 134 | |
| 5 : | jjholt | 156 | ## KEYWORDS('vector' 'limit') |
| 6 : | ## Tagged by tda2d | ||
| 7 : | jj | 134 | |
| 8 : | jjholt | 156 | ## 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, and Weinstein') | ||
| 17 : | ## Section1('2.2') | ||
| 18 : | ## Problem1('') | ||
| 19 : | |||
| 20 : | jj | 134 | DOCUMENT(); |
| 21 : | |||
| 22 : | loadMacros( | ||
| 23 : | "PG.pl", | ||
| 24 : | "PGbasicmacros.pl", | ||
| 25 : | "PGchoicemacros.pl", | ||
| 26 : | "PGanswermacros.pl", | ||
| 27 : | "PGauxiliaryFunctions.pl" | ||
| 28 : | ); | ||
| 29 : | |||
| 30 : | gage | 269 | TEXT(beginproblem()); |
| 31 : | jj | 134 | $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 : | gage | 269 | ANS(num_cmp($ans, strings=>['N'])); |
| 48 : | jj | 134 | |
| 49 : | ENDDOCUMENT(); |
| aubreyja at gmail dot com | ViewVC Help |
| Powered by ViewVC 1.0.9 |