Parent Directory
| 
Revision Log
Revision 1999 - (view) (download)
| 1 : | david smit | 1998 | ## DESCRIPTION |
| 2 : | ## Abstract Definite Integral | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | ## KEYWORDS('Definite', 'Integral') | ||
| 6 : | ## Tagged by nhamblet | ||
| 7 : | |||
| 8 : | ## DBsubject('Calculus') | ||
| 9 : | ## DBchapter('Integrals') | ||
| 10 : | ## DBsection('The Definite Integral') | ||
| 11 : | ## Date('') | ||
| 12 : | ## Author('') | ||
| 13 : | ## Institution('OSU') | ||
| 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 : | ); | ||
| 29 : | |||
| 30 : | TEXT(beginproblem()); | ||
| 31 : | $showPartialCorrectAnswers = 1; | ||
| 32 : | |||
| 33 : | $a= random(-10, 10, 1); | ||
| 34 : | $a1 = random(1, 10, 1); | ||
| 35 : | $a2 = random(1, 10, 1); | ||
| 36 : | $a3 = random(1, 10, 1); | ||
| 37 : | $b1 = random(1,3,.5); | ||
| 38 : | $b = $a+$b1; | ||
| 39 : | $c = $b+$b1; | ||
| 40 : | $d = $c+$b1; | ||
| 41 : | |||
| 42 : | BEGIN_TEXT | ||
| 43 : | Let \( \int_{$a}^{$d} f(x) dx =$a1, \int_{$a}^{$b} f(x) dx=$a2, | ||
| 44 : | \int_{$c}^{$d} f(x)dx =$a3 \). | ||
| 45 : | $BR | ||
| 46 : | Find \( \int_{$b}^{$c} f(x)dx= \) \{ans_rule( 10)\} | ||
| 47 : | $BR and \(\int_{$c}^{$b} ($a1 f(x)- $a2)dx= \) \{ans_rule( 10)\} | ||
| 48 : | $PAR | ||
| 49 : | END_TEXT | ||
| 50 : | |||
| 51 : | $ans1=$a1-$a2-$a3; | ||
| 52 : | $ans2=-$a1*$ans1+$a2*$b1; | ||
| 53 : | |||
| 54 : | ANS(num_cmp($ans1), num_cmp($ans2)); | ||
| 55 : | |||
| 56 : | BEGIN_TEXT | ||
| 57 : | This is similar to Problems 9-12 in Section 5.3 of the text. | ||
| 58 : | END_TEXT | ||
| 59 : | ENDDOCUMENT(); # This should be the last executable line in the problem. | ||
| 60 : |
| aubreyja at gmail dot com | ViewVC Help |
| Powered by ViewVC 1.0.9 |