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| 1 : | gage | 5 | ##KEYWORDS('integral', 'volume') |
| 2 : | ##DESCRIPTION | ||
| 3 : | ## Compute a volume of revolution | ||
| 4 : | ##ENDDESCRIPTION | ||
| 5 : | |||
| 6 : | ## AmberHolden tagged | ||
| 7 : | ## Shotwell Cleaned | ||
| 8 : | |||
| 9 : | ## DBsubject('Calculus') | ||
| 10 : | ## DBchapter('Applications of Integration') | ||
| 11 : | ## DBsection('Volumes') | ||
| 12 : | ## Date('6/3/2002') | ||
| 13 : | ## Author('') | ||
| 14 : | ## Institution('') | ||
| 15 : | ## TitleText1('Calculus Early Transcendentals') | ||
| 16 : | ## EditionText1('4') | ||
| 17 : | ## AuthorText1('Stewart') | ||
| 18 : | ## Section1('6.2') | ||
| 19 : | ## Problem1('1,2,3') | ||
| 20 : | |||
| 21 : | |||
| 22 : | DOCUMENT(); # This should be the first executable line in the problem. | ||
| 23 : | |||
| 24 : | loadMacros( | ||
| 25 : | "PGbasicmacros.pl", | ||
| 26 : | "PGanswermacros.pl", | ||
| 27 : | "PGauxiliaryFunctions.pl" | ||
| 28 : | ); | ||
| 29 : | |||
| 30 : | TEXT(beginproblem()); | ||
| 31 : | $showPartialCorrectAnswers = 1; | ||
| 32 : | |||
| 33 : | $a=random(2, 9); | ||
| 34 : | $soln ="$a*$a*pi/5"; | ||
| 35 : | |||
| 36 : | BEGIN_TEXT | ||
| 37 : | |||
| 38 : | Find the volume of the solid obtained by rotating the region bounded by | ||
| 39 : | \[ y=$a x^2, x = 1, y = 0, \] | ||
| 40 : | about the \(x\)-axis. | ||
| 41 : | |||
| 42 : | $BR $BR Answer: \{ans_rule( 15) \} | ||
| 43 : | $BR | ||
| 44 : | END_TEXT | ||
| 45 : | ANS(num_cmp($soln)); | ||
| 46 : | |||
| 47 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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