View of /trunk/NationalProblemLibrary/UCSB/Stewart5_3_11/Stewart5_3_11_29.pg

    1 ## DBsubject('Calculus')
    2 ## DBchapter('Differentiation')
    3 ## DBsection('Linear Approximation and Differentials')
    4 ## KEYWORDS('Differentiation','Product','Quotient')
    5 ## TitleText1('Calculus: Early Transcendentals')
    6 ## EditionText1('5')
    7 ## AuthorText1('Stewart')
    8 ## Section1('3.11')
    9 ## Problem1('29')
   10 ## Author('')
   11 ## Institution('UCSB')
   12 
   13 DOCUMENT();
   14 
   15 loadMacros(
   16 "PG.pl",
   17 "PGbasicmacros.pl",
   18 "PGchoicemacros.pl",
   19 "PGanswermacros.pl",
   20 "PGauxiliaryFunctions.pl"
   21 );
   22 
   23 TEXT(&beginproblem);
   24 $showPartialCorrectAnswers = 1;
   25 $a=random(2,10,1);
   26 
   27 BEGIN_TEXT
   28 
   29 $PAR
   30 
   31 Compute (a) \(\Delta y\) and (b) \(\text{dy}\) for the given values of \(x\) and \(\text{dx}=\Delta x\). $BR
   32 
   33 \[y=$a -x^2,\qquad x=-2,\qquad \Delta x=.4\]
   34 
   35 $PAR
   36 (a) \(\Delta y =\) \{ans_rule(20)\} $BR
   37 (b) \(\text{dy} =\) \{ans_rule(20)\}
   38 
   39 END_TEXT
   40 
   41 ANS(num_cmp( 1.44 ));
   42 ANS(num_cmp( 1.6 ));
   43 
   44 ENDDOCUMENT();