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| 1 : | jjholt | 184 | ## DESCRIPTION |
| 2 : | ## Calculus | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | jj | 143 | |
| 5 : | jjholt | 184 | ## KEYWORDS ('complex','imaginary','exponential') |
| 6 : | ## Tagged by cmd6a 4/20/06 | ||
| 7 : | jj | 143 | |
| 8 : | jjholt | 184 | ## DBsubject('Calculus') |
| 9 : | ## DBchapter('Appendixes') | ||
| 10 : | ## DBsection('Complex Analytic Functions') | ||
| 11 : | ## Date('') | ||
| 12 : | ## Author('') | ||
| 13 : | ## Institution('Rochester') | ||
| 14 : | ## TitleText1('Fundamentals of Complex Analysis for Mathematics, Science, and Engineering') | ||
| 15 : | ## EditionText1('') | ||
| 16 : | ## AuthorText1('E.B. Saff and A.D. Snider') | ||
| 17 : | ## Section1('1.4') | ||
| 18 : | ## Problem1('11') | ||
| 19 : | |||
| 20 : | jj | 143 | 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 : | ); | ||
| 29 : | |||
| 30 : | TEXT(beginproblem()); | ||
| 31 : | $showPartialCorrectAnswers = 0; | ||
| 32 : | |||
| 33 : | @questions =( "\(e^x\) is never zero.", | ||
| 34 : | "\(e^x\)is a one-to-one function.", | ||
| 35 : | "\(e^x\) is defined for all \(x\).", | ||
| 36 : | "\(e^{-x} = \frac{1}{e^x}\)." | ||
| 37 : | ); | ||
| 38 : | @answers =( 'T', 'F', 'T', 'T'); | ||
| 39 : | |||
| 40 : | @slice = NchooseK(scalar(@questions), 4); | ||
| 41 : | |||
| 42 : | BEGIN_TEXT | ||
| 43 : | Determine which of the following properties of the real exponential function | ||
| 44 : | remain true for the complex exponential ( i.e., for \(x\) replaced by \(z\) | ||
| 45 : | ).$PAR Answer T or F:$PAR | ||
| 46 : | END_TEXT | ||
| 47 : | |||
| 48 : | ## Next we output the 4 chosen questions. #match_ | ||
| 49 : | TEXT( | ||
| 50 : | &match_questions_list(@questions[@slice]) | ||
| 51 : | ); | ||
| 52 : | |||
| 53 : | ANS(str_cmp([ @answers[@slice] ] )); | ||
| 54 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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