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# View of /trunk/NationalProblemLibrary/ASU-topics/setCalculus/stef/stef4_3p21.pg

Sat Jan 14 02:16:17 2006 UTC (7 years, 4 months ago) by jj
File size: 1086 byte(s)
New files for the library.


    1 ## 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
23            "PGbasicmacros.pl",
24            "PGchoicemacros.pl",
26            "PGauxiliaryFunctions.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.