Parent Directory
| 
Revision Log
Revision 1647 - (view) (download)
| 1 : | apizer | 1647 | ## DBsubject('Calculus') |
| 2 : | ## DBchapter('Integrals') | ||
| 3 : | ## DBsection('The Fundamental Theorem of Calculus') | ||
| 4 : | ## KEYWORDS('antiderivatives') | ||
| 5 : | ## TitleText1('Calculus') | ||
| 6 : | ## EditionText1('5e') | ||
| 7 : | ## AuthorText1('Stewart') | ||
| 8 : | ## Section1('5.3') | ||
| 9 : | ## Problem1('16') | ||
| 10 : | ## Author('') | ||
| 11 : | ## Institution('UCSB') | ||
| 12 : | |||
| 13 : | DOCUMENT(); | ||
| 14 : | |||
| 15 : | loadMacros( | ||
| 16 : | "PG.pl", | ||
| 17 : | "PGbasicmacros.pl", | ||
| 18 : | "PGchoicemacros.pl", | ||
| 19 : | "PGanswermacros.pl", | ||
| 20 : | "PGauxiliaryFunctions.pl" | ||
| 21 : | ); | ||
| 22 : | |||
| 23 : | TEXT(&beginproblem); | ||
| 24 : | $showPartialCorrectAnswers = 1; | ||
| 25 : | $a=random(1,10,1); | ||
| 26 : | $b=random(1,10,1)*random(-1,1,2); | ||
| 27 : | $c=random(1,10,1)*random(-1,1,2); | ||
| 28 : | |||
| 29 : | BEGIN_TEXT | ||
| 30 : | |||
| 31 : | $PAR | ||
| 32 : | Let \(\displaystyle y=\int_1^{\cos(x)}{($b t + $a \sin(t))}\,dt.\) Use the Fundamental Theorem of Calculus to find \(y'.\) | ||
| 33 : | |||
| 34 : | $PAR | ||
| 35 : | \(y' =\) \{ans_rule(50)\} | ||
| 36 : | |||
| 37 : | END_TEXT | ||
| 38 : | |||
| 39 : | ANS(fun_cmp("($b*cos(x)+$a*sin(cos(x)))*(-1)*(sin(x))", var=>["x","t"])); | ||
| 40 : | |||
| 41 : | ENDDOCUMENT(); |
| aubreyja at gmail dot com | ViewVC Help |
| Powered by ViewVC 1.0.9 |