Parent Directory
| 
Revision Log
Revision 481 - (view) (download)
| 1 : | gage | 5 | ## DESCRIPTION |
| 2 : | ## Calculus: Limits and Derivatives | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | ## KEYWORDS('limits', 'derivatives') | ||
| 6 : | ## Tagged by LD | ||
| 7 : | |||
| 8 : | ## DBsubject('Calculus') | ||
| 9 : | ## DBchapter('Limits and Derivatives') | ||
| 10 : | ## DBsection('Limits at Infinity; Horizontal Asymptotes') | ||
| 11 : | ## Date('5/26/2005') | ||
| 12 : | ## Author('Jeff Holt') | ||
| 13 : | ## Institution('UVA') | ||
| 14 : | jjholt | 480 | ## TitleText1('Calculus: Early Transcendentals') |
| 15 : | ## EditionText1('5') | ||
| 16 : | gage | 5 | ## AuthorText1('Stewart') |
| 17 : | ## Section1('2.6') | ||
| 18 : | ## Problem1('37') | ||
| 19 : | |||
| 20 : | jjholt | 481 | ## TitleText2('Calculus: Early Transcendentals') |
| 21 : | ## EditionText2('6') | ||
| 22 : | ## AuthorText2('Stewart') | ||
| 23 : | ## Section2('2.6') | ||
| 24 : | ## Problem2('') | ||
| 25 : | |||
| 26 : | gage | 5 | DOCUMENT(); |
| 27 : | |||
| 28 : | loadMacros( | ||
| 29 : | "PG.pl", | ||
| 30 : | "PGbasicmacros.pl", | ||
| 31 : | "PGchoicemacros.pl", | ||
| 32 : | "PGanswermacros.pl", | ||
| 33 : | "PGauxiliaryFunctions.pl", | ||
| 34 : | "extraAnswerEvaluators.pl" | ||
| 35 : | ); | ||
| 36 : | |||
| 37 : | TEXT(beginproblem()); | ||
| 38 : | $showPartialCorrectAnswers = 1; | ||
| 39 : | |||
| 40 : | $c = random(1, 8, 1); | ||
| 41 : | $d = $c**2; | ||
| 42 : | |||
| 43 : | TEXT(EV2(<<EOT)); | ||
| 44 : | Let | ||
| 45 : | \[ f(x) = \frac{x}{x^2 - $d}.\] | ||
| 46 : | Find the horizontal and vertical asymptotes of \( f(x) \). | ||
| 47 : | If there are no asymptotes of a given type, enter 1000. | ||
| 48 : | If there are more than one of a given type, list them separated by commas. | ||
| 49 : | $BR | ||
| 50 : | $BR | ||
| 51 : | Horizontal asymptote(s): \(y\) = \{ ans_rule(20) \} | ||
| 52 : | $BR | ||
| 53 : | $BR | ||
| 54 : | EOT | ||
| 55 : | |||
| 56 : | $ans = "0"; | ||
| 57 : | ANS(number_list_cmp($ans)); | ||
| 58 : | |||
| 59 : | TEXT(EV2(<<EOT)); | ||
| 60 : | Vertical asymptote(s): \(x\) = \{ ans_rule(20) \} | ||
| 61 : | $BR | ||
| 62 : | $BR | ||
| 63 : | EOT | ||
| 64 : | |||
| 65 : | $ans = "-$c,$c"; | ||
| 66 : | ANS(number_list_cmp($ans)); | ||
| 67 : | |||
| 68 : | ENDDOCUMENT(); |
| aubreyja at gmail dot com | ViewVC Help |
| Powered by ViewVC 1.0.9 |