View of /trunk/NationalProblemLibrary/Dartmouth/setStewartAppendixG/problem_1.pg

    1 ## DESCRIPTION
    2 ## Complex Arithmetic
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('complex numbers', 'multiplication')
    6 ## Tagged by tda2d
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Complex Variables')
   10 ## DBsection('Complex Numbers')
   11 ## Date('')
   12 ## Author('')
   13 ## Institution('Dartmouth')
   14 ## TitleText1('Calculus')
   15 ## EditionText1('5')
   16 ## AuthorText1('Stewart')
   17 ## Section1('G')
   18 ## Problem1('')
   19 
   20 DOCUMENT();
   21 loadMacros("PG.pl",
   22            "PGbasicmacros.pl",
   23            "PGchoicemacros.pl",
   24            "PGanswermacros.pl",
   25            "PGauxiliaryFunctions.pl",
   26            "PGgraphmacros.pl",
   27            "Dartmouthmacros.pl");
   28 
   29 
   30 ## Do NOT show partial correct answers
   31 $showPartialCorrectAnswers = 0;
   32 
   33 ## Lots of set up goes here
   34 $a = random(-10,10);
   35 $b = random(-10,10);
   36 $c = non_zero_random(-10,10);
   37 $d = non_zero_random(-10,10);
   38 
   39 
   40 ## Ok, we are ready to begin the problem...
   41 ##
   42 TEXT(beginproblem());
   43 
   44 
   45 BEGIN_TEXT
   46 $BR
   47     Evaluate the expression \(\displaystyle ($a + $b i)($c + $d i)\), and write your answer in the form \( a + b i\).
   48 
   49 a = \{ans_rule()\} and b = \{ ans_rule()\}.
   50 
   51 $PAR
   52 END_TEXT
   53     ANS(num_cmp( $a*$c - $b*$d  ));
   54 ANS(num_cmp( $b*$c + $a*$d   ));
   55 ENDDOCUMENT();
   56 
   57 
   58 
   59