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| 1 : | jj | 62 | ## DESCRIPTION |
| 2 : | ## Calculus | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | ## KEYWORDS('calculus', 'functions') | ||
| 6 : | ## Tagged by YL | ||
| 7 : | |||
| 8 : | ## DBsubject('Calculus') | ||
| 9 : | ## DBchapter('Single Variable') | ||
| 10 : | ## DBsection('Functions') | ||
| 11 : | ## Date('') | ||
| 12 : | ## Author('') | ||
| 13 : | ## Institution('ASU') | ||
| 14 : | ## TitleText1('Calculus') | ||
| 15 : | ## EditionText1('5e') | ||
| 16 : | ## AuthorText1('Stewart') | ||
| 17 : | ## Section1('') | ||
| 18 : | ## Problem1('') | ||
| 19 : | |||
| 20 : | DOCUMENT(); # This should be the first executable line in the problem. | ||
| 21 : | |||
| 22 : | loadMacros("PG.pl", | ||
| 23 : | "PGbasicmacros.pl", | ||
| 24 : | "PGchoicemacros.pl", | ||
| 25 : | "PGanswermacros.pl", | ||
| 26 : | "PGauxiliaryFunctions.pl", | ||
| 27 : | "extraAnswerEvaluators.pl"); | ||
| 28 : | |||
| 29 : | $a = random(2,8,1); | ||
| 30 : | $b = random(2,8,1); | ||
| 31 : | |||
| 32 : | TEXT(beginproblem()); | ||
| 33 : | |||
| 34 : | $showPartialCorrectAnswers = 1; | ||
| 35 : | |||
| 36 : | TEXT(EV2(<<EOT)); | ||
| 37 : | Consider the function | ||
| 38 : | \[ f(x) = \frac{x}{$a x^2 ? {$b}}. \] | ||
| 39 : | $BR | ||
| 40 : | List the \(x\) values of the inflection points of \(f\). | ||
| 41 : | If there are no inflection points, enter 'NONE'. | ||
| 42 : | $BR | ||
| 43 : | \{ans_rule(30)\} | ||
| 44 : | |||
| 45 : | EOT | ||
| 46 : | |||
| 47 : | ANS( number_list_cmp( "0,-sqrt(3*$b/$a),sqrt(3*$b/$a)" , strings=>["none"] )); | ||
| 48 : | |||
| 49 : | |||
| 50 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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