[rochester] / trunk / rochester_problib / setVectorCalculus3 / ur_vc_13_3.pg Repository: Repository Listing bbplugincoursesdistsnplrochestersystemwww

# View of /trunk/rochester_problib/setVectorCalculus3/ur_vc_13_3.pg

Mon Jun 25 19:20:51 2001 UTC (11 years, 10 months ago) by sam
File size: 1000 byte(s)
added problem library as webwork/ww_prob_lib with revision tag prob-lib-2


    1 ##DESCRIPTION
2 #
3 # File Created: 6/4/2000
5 # Problem Author: Joseph Neisendorfer
6 # WeBWorK Entry: Victoria Sweetser
7 # Location: University of Rochester
8 #
9 ##ENDDESCRIPTION
10
11 ##KEYWORDS('Vector','Surface Integral','Field')
12
13
14 DOCUMENT();   # This should be the first executable line in the problem.
15
17            "PGbasicmacros.pl",
18            "PGchoicemacros.pl",
20            "PGauxiliaryFunctions.pl"
21           );
22
23 TEXT(&beginproblem);
24 $showPartialCorrectAnswers = 1; 25 26$a = random(1, 5, 1);
27 $b = random(1, 5, 1); 28$c = random(1, 5, 1);
29 $d =$a**2;
30
31 BEGIN_TEXT
32 A fluid has density $c and velocity field 33 $$\mathbf{v} = -y\mathbf{i} + x\mathbf{j} + b\!z\mathbf{k}$$.$BR
34 Find the rate of flow outward through the sphere
35 $$x^{2} + y^{2} + z^{2} = d$$
36 $PAR 37 \{ ans_rule(40) \} 38 END_TEXT 39 40 ANS( num_cmp( (4*$b*$c*$d*\$a*3.14159)/3 ) );
41
42 ENDDOCUMENT();    # This should be the last executable line in the problem.