View of /trunk/NationalProblemLibrary/UCSB/Stewart5_4_9/Stewart5_4_9_7.pg

    1 ## DBsubject('Calculus')
    2 ## DBchapter('Applications of Differentiation')
    3 ## DBsection('Newton's Method')
    4 ## KEYWORDS('Newton's Method','Differentiation')
    5 ## TitleText1('Calculus: Early Transcendentals')
    6 ## EditionText1('5')
    7 ## AuthorText1('Stewart')
    8 ## Section1('4.9')
    9 ## Problem1('7')
   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);
   26 #$b=random(1,10,1);
   27 #$c=3*$b;
   28 #$d=2*$b;
   29 
   30 # Insert problem text between the $PAR, and space for the
   31 # answer, like this   \(y =\) \{ans_rule(50)\}
   32 # just before the END_TEXT.
   33 
   34 BEGIN_TEXT
   35 
   36 $PAR
   37 
   38 Use Newton's method on the following function and initial approximation \(x_1\) to find \(x_3\), the third approximation to the root of the equation.
   39 
   40 $PAR
   41 
   42 \(x^4 - 20 = 0, \  x_1 = 2\)
   43 
   44 $PAR
   45 
   46 \(x_3 =\) \{ans_rule(20)\}
   47 
   48 END_TEXT
   49 
   50 ANS(num_cmp(2.1148, tol=> .001));
   51 
   52 
   53 ENDDOCUMENT();