## DESCRIPTION
## Calculus
## ENDDESCRIPTION

## KEYWORDS ('complex','imaginary','exponential')
## Tagged by cmd6a 4/20/06

## DBsubject('Calculus')
## DBchapter('Appendixes')
## DBsection('Complex Analytic Functions')
## Date('')
## Author('')
## Institution('Rochester')
## TitleText1('Fundamentals of Complex Analysis for Mathematics, Science, and Engineering')
## EditionText1('')
## AuthorText1('E.B. Saff and A.D. Snider')
## Section1('1.4')
## Problem1('11')

DOCUMENT();        # This should be the first executable line in the problem.

loadMacros(
"PG.pl",
"PGbasicmacros.pl",
"PGchoicemacros.pl",
"PGanswermacros.pl",
"PGauxiliaryFunctions.pl"
);

TEXT(beginproblem());
$showPartialCorrectAnswers = 0;

@questions =( "\(e^x\) is never zero.", 
	"\(e^x\)is a one-to-one function.",
	"\(e^x\) is defined for all \(x\).",
	"\(e^{-x} = \frac{1}{e^x}\)."
);
@answers =( 'T', 'F', 'T', 'T');

@slice = NchooseK(scalar(@questions), 4);

BEGIN_TEXT
Determine which of the following properties of the real exponential function
remain true for the complex exponential ( i.e., for \(x\) replaced by \(z\)
).$PAR Answer T or F:$PAR
END_TEXT

## Next we output the 4 chosen questions.  #match_
TEXT(
&match_questions_list(@questions[@slice])
);

ANS(str_cmp([ @answers[@slice] ] ));
ENDDOCUMENT();        # This should be the last executable line in the problem.