## DESCRIPTION ## Complex Arithmetic ## ENDDESCRIPTION ## KEYWORDS('complex numbers', 'multiplication') ## Tagged by tda2d ## DBsubject('Calculus') ## DBchapter('Complex Variables') ## DBsection('Complex Numbers') ## Date('') ## Author('') ## Institution('Dartmouth') ## TitleText1('Calculus') ## EditionText1('5') ## AuthorText1('Stewart') ## Section1('G') ## Problem1('') DOCUMENT(); loadMacros("PG.pl", "PGbasicmacros.pl", "PGchoicemacros.pl", "PGanswermacros.pl", "PGauxiliaryFunctions.pl", "PGgraphmacros.pl", "Dartmouthmacros.pl"); ## Do NOT show partial correct answers \$showPartialCorrectAnswers = 0; ## Lots of set up goes here \$a = random(-10,10); \$b = random(-10,10); \$c = non_zero_random(-10,10); \$d = non_zero_random(-10,10); ## Ok, we are ready to begin the problem... ## TEXT(beginproblem()); BEGIN_TEXT \$BR Evaluate the expression \(\displaystyle (\$a + \$b i)(\$c + \$d i)\), and write your answer in the form \( a + b i\). a = \{ans_rule()\} and b = \{ ans_rule()\}. \$PAR END_TEXT ANS(num_cmp( \$a*\$c - \$b*\$d )); ANS(num_cmp( \$b*\$c + \$a*\$d )); ENDDOCUMENT();