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Mon Mar 13 19:00:23 2006 UTC (7 years, 2 months ago) by jjholt
File size: 1766 byte(s)
Updated tags -- March 13, 2006


    1 ## DESCRIPTION
2 ##   Multiple Integrals
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('Multiple Integral')
6 ## Tagged by nhamblet
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Multiple Integrals')
10 ## DBsection('Double Integrals Over General Regions')
11 ## Date('')
12 ## Author('')
13 ## Institution('ASU')
14 ## TitleText1('Calculus')
15 ## EditionText1('')
16 ## AuthorText1('Stewart')
17 ## Section1('15.8')
18 ## Problem1('')
19
20 DOCUMENT();
22            "PGbasicmacros.pl",
23            "PGchoicemacros.pl",
25            "PGauxiliaryFunctions.pl",
26            "PGgraphmacros.pl",
27            "Dartmouthmacros.pl");
28
29
30 ## Do NOT show partial correct answers
31 $showPartialCorrectAnswers = 1; 32 33 ## Lots of set up goes here 34 35 36 37 ## Ok, we are ready to begin the problem... 38 ## 39 TEXT(beginproblem()); 40 41$ml = new_match_list();
42
43 $ml -> qa( 44 "$$\int_{0}^{1} \! \int^{y^2}_{0} \ \frac{1}{x} \ dx \ dy$$", 45 "cartesian coordinates", 46 "$$\iint_D \ \frac{1}{x^2+y^2} \ dA$$ where D is: $$x^2+y^2 \leq 4$$", 47 "polar coordinates", 48 "$$\iiint_E \ z \ dV$$ where E is: $$1 \leq x \leq 2, 3 \leq y \leq 4, 5 \leq z \leq 6$$", 49 "cartesian coordinates", 50 "$$\iiint_E \ z^2 \ dV$$ where E is: $$-2 \leq z \leq 2, 1 \leq x^2+y^2 \leq 2$$", 51 "cylindrical coordinates", 52 "$$\iiint_E \ dV$$ where E is: $$x^2+y^2+z^2 \leq 4, x \geq 0, y \geq 0, z \geq 0$$", 53 "spherical coordinates" 54 ); 55 56$ml->choose(5);
57
58 BEGIN_TEXT
59 $PAR 60 Match the integrals with the type of coordinates which make them the easiest to do. 61 Put the letter of the coordinate system to the left of the number of the integral. 62$PAR
63 \{ $ml -> print_q \} 64$PAR
65 \{ $ml -> print_a \} 66 END_TEXT 67 68 ANS(str_cmp($ml->ra_correct_ans));
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74 ENDDOCUMENT();
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