View of /trunk/NationalProblemLibrary/Rochester/setComplexNumbers/ur_cn_1_18.pg

    1 ## DESCRIPTION
    2 ## Calculus
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS ('complex','imaginary','conjugate')
    6 ## Tagged by cmd6a 4/20/06
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Complex Variables')
   10 ## DBsection('Complex Numbers')
   11 ## Date('')
   12 ## Author('')
   13 ## Institution('Rochester')
   14 ## TitleText1('')
   15 ## EditionText1('')
   16 ## AuthorText1('')
   17 ## Section1('')
   18 ## Problem1('')
   19 
   20 DOCUMENT();        # This should be the first executable line in the problem.
   21 
   22 loadMacros(
   23 "PG.pl",
   24 "PGbasicmacros.pl",
   25 "PGchoicemacros.pl",
   26 "PGanswermacros.pl",
   27 "PGauxiliaryFunctions.pl",
   28 "PGcomplexmacros.pl"
   29 );
   30 
   31 TEXT(beginproblem());
   32 $showPartialCorrectAnswers = 1;
   33 
   34 @choices = ("\(\vert z_2 \vert - \vert z_1 \vert\)" ,
   35       "\(\bigl\vert \vert z_2 \vert - \vert z_1 \vert \bigr\vert\)" ,
   36       "\(\vert z_1\ + z_2 \vert \)" ,
   37       "\( \vert z_1 \vert + \vert z_2 \vert \)");
   38 @answers = ("a", "b", "c", "d");
   39 
   40 @slice = NchooseK( scalar(@choices), 4 );
   41 
   42 @scrambled_choices = @choices[@slice];
   43 @scrambled_answers = @answers[@slice];
   44 
   45 BEGIN_TEXT
   46 $PAR Place the following in order: $PAR
   47 (a) $scrambled_choices[0] , $PAR
   48 (b) $scrambled_choices[1] , $PAR
   49 (c) $scrambled_choices[2] , $PAR
   50 (d) $scrambled_choices[3] .
   51 $PAR
   52 \{ans_rule(5)\} \(\le\) \{ans_rule(5)\} \(\le\) \{ans_rule(5)\} \(\le\) \{ans_rule(5)\}.
   53 
   54 END_TEXT
   55 
   56 ANS(str_cmp( $scrambled_answers[$slice[0]] ) );
   57 ANS(str_cmp( $scrambled_answers[$slice[1]] ) );
   58 ANS(str_cmp( $scrambled_answers[$slice[2]] ) );
   59 ANS(str_cmp( $scrambled_answers[$slice[3]] ) );
   60 
   61 ENDDOCUMENT();        # This should be the last executable line in the problem.
   62