View of /trunk/NationalProblemLibrary/ma123DB/set1/s6_2_11.pg

    1 ##KEYWORDS('Integral', 'Volume')
    2 ##DESCRIPTION
    3 ##  Compute volume of a 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('11')
   20 
   21 DOCUMENT();
   22 
   23 loadMacros(
   24 "PGbasicmacros.pl",
   25 "PGanswermacros.pl",
   26 "PGauxiliaryFunctions.pl"
   27 );
   28 
   29 $showPartialCorrectAnswers = 1;
   30 
   31 $aa = random(2,6);
   32 $a2 = $aa*$aa;
   33 
   34 
   35 TEXT(beginproblem());
   36 
   37 BEGIN_TEXT
   38 The region between the graphs of \(y=x^2\) and \(y=$aa x\)
   39 is rotated around the line \(y=$a2\).
   40 $BR$BR
   41 The volume of the resulting solid is: \{ ans_rule()\}
   42 END_TEXT
   43 
   44 ANS(num_cmp("(pi*$aa^5)/5"));
   45 
   46 ENDDOCUMENT();