View of /trunk/NationalProblemLibrary/ASU-topics/setDerivativeBasicFunctions/3-4-88.pg

    1 ## DESCRIPTION
    2 ## Calculus
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('calculus', 'derivative')
    6 ## Tagged by YL
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Single Variable')
   10 ## DBsection('Differentiation')
   11 ## Date('')
   12 ## Author('')
   13 ## Institution('ASU')
   14 ## TitleText1('Calculus')
   15 ## EditionText1('5e')
   16 ## AuthorText1('Stewart')
   17 ## Section1('')
   18 ## Problem1('')
   19 
   20 DOCUMENT();
   21 
   22 loadMacros(
   23 "PG.pl",
   24 "PGbasicmacros.pl",
   25 "PGchoicemacros.pl",
   26 "PGanswermacros.pl",
   27 "PGauxiliaryFunctions.pl"
   28 );
   29 
   30 TEXT(beginproblem());
   31 $showpartialcorrectanswers = 1;
   32 
   33 $a = random(15,25, 1);
   34 $b = random(1,4,1);
   35 $c = random(6,8,1);
   36 
   37 TEXT(EV2(<<EOT));
   38 If a person learns \(y\) items in \(x\) hours, as given by
   39 \[ y = $a \sqrt[3]{x^2}, \]
   40 find the rate of learning for a person at the end of:
   41 $BR
   42 (A) $b hours: \{ans_rule(30) \}
   43 $BR
   44 EOT
   45 
   46 $ans = ((2*$a)/3)*($b**(-1/3));
   47 ANS(num_cmp($ans));
   48 
   49 TEXT(EV2(<<EOT));
   50 (B) $c hours: \{ans_rule(30) \}
   51 $BR
   52 EOT
   53 
   54 $ans = ((2*$a)/3)*($c**(-1/3));
   55 ANS(num_cmp($ans));
   56 
   57 
   58 ENDDOCUMENT();