View of /trunk/NationalProblemLibrary/UCSB/Stewart5_2_4/Stewart5_2_4_3/Stewart5_2_4_3.pg

    1 ## DBsubject('Calculus')
    2 ## DBchapter('Limits and Derivatives')
    3 ## DBsection('The Limit of a Function')
    4 ## KEYWORDS('Product','Quotient','Differentiation')
    5 ## TitleText1('Calculus: Early Transcendentals')
    6 ## EditionText1('5')
    7 ## AuthorText1('Stewart')
    8 ## Section1('2.4')
    9 ## Problem1('3')
   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(1,10,1)*random(-1,1,2);
   26 $b=random(1,10,1)*random(-1,1,2);
   27 $c=random(1,10,1)*random(-1,1,2);
   28 
   29 BEGIN_TEXT
   30  Use the given graph of \(f(x)=1/x\) to find the largest number \(\delta \)
   31 such that
   32 
   33 \[ \left| \dfrac{1}{x}-0.5\right| <0.2\qquad \text{whenever} \qquad\left|
   34 x-2\right| <\delta \]
   35 $BR$BR
   36 \{ image( "3.gif", height => 250, width => 420, tex_size=>300 )  \}
   37 
   38 $BR$BR
   39 
   40 \(\delta = \) \{ans_rule(50)\}
   41 
   42 END_TEXT
   43 
   44 ANS(num_cmp(4/7));
   45 
   46 ENDDOCUMENT();