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Revision 899 - (view) (download)
| 1 : | gage | 899 | #DESCRIPTION |
| 2 : | #KEYWORDS('derivatives', 'critical points') | ||
| 3 : | #ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | DOCUMENT(); # This should be the first executable line in the problem. | ||
| 6 : | |||
| 7 : | loadMacros( | ||
| 8 : | "PGcourse.pl", | ||
| 9 : | "PG.pl", | ||
| 10 : | "PGbasicmacros.pl", | ||
| 11 : | "PGchoicemacros.pl", | ||
| 12 : | "PGanswermacros.pl", | ||
| 13 : | "PGauxiliaryFunctions.pl" | ||
| 14 : | ); | ||
| 15 : | |||
| 16 : | TEXT(beginproblem()); | ||
| 17 : | $showPartialCorrectAnswers = 1; | ||
| 18 : | |||
| 19 : | ################### | ||
| 20 : | # | ||
| 21 : | # Setup | ||
| 22 : | |||
| 23 : | $a = non_zero_random(-9,9,1); | ||
| 24 : | $b = non_zero_random(-5,5,1); | ||
| 25 : | if (($a == $b) or (abs($b)==1)) { $b=-6; } | ||
| 26 : | $c = random(2,8,1); | ||
| 27 : | if ($a == $c) { $c=9; } | ||
| 28 : | |||
| 29 : | $ans = (- $a * $b - $c)/($b*$c); | ||
| 30 : | |||
| 31 : | ################### | ||
| 32 : | # | ||
| 33 : | # Text | ||
| 34 : | |||
| 35 : | BEGIN_TEXT | ||
| 36 : | |||
| 37 : | The function \( f(x) = ($c x+$a)e^{$b x} \) | ||
| 38 : | has one critical number. Find it. $BR | ||
| 39 : | \{ans_rule(10) \} | ||
| 40 : | |||
| 41 : | END_TEXT | ||
| 42 : | |||
| 43 : | ################### | ||
| 44 : | # | ||
| 45 : | # Answer | ||
| 46 : | |||
| 47 : | ANS(num_cmp($ans)); | ||
| 48 : | |||
| 49 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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