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Wed Jul 18 00:35:17 2007 UTC (5 years, 10 months ago) by jjholt
File size: 1610 byte(s)
Changed Stew4e to Stew 6e.


    1 ##DESCRIPTION
2 ##  Write a difference of two integrals as a single integral
3 ##This is setIntegrals0Theory/nttheo1.pg slightly cleaned up and expanded
4 ##by Zig Fiedorowicz, Jan. 2001
5 ##ENDDESCRIPTION
6 ##KEYWORDS('integrals', 'theory')
7
8 ## Shotwell cleaned
9 ## lcao , PAID on 11-24-2003
10
11 ## DBsubject('Calculus')
12 ## DBchapter('Integrals')
13 ## DBsection('The Definite Integral')
14 ## Date('6/3/2002')
15 ## Author('')
16 ## Institution('')
17 ## TitleText1('Calculus: Early Transcendentals')
18 ## EditionText1('6')
19 ## AuthorText1('Stewart')
20 ## Section1('5.2')
21 ## Problem1('46')
22
23 DOCUMENT();        # This should be the first executable line in the problem.
24
26 "PGbasicmacros.pl",
28 "PGauxiliaryFunctions.pl"
29 );
30
31 TEXT(beginproblem());
32 $showPartialCorrectAnswers = 1; 33 34$a= random(-10, 10);
35 $a1 = random(2, 10); 36$a2 = random(2, 10);
37 $a3 = random(1, 10); 38$b1 = random(1,3,.5);
39 $b =$a+$b1; 40$c = $b+$b1;
41 $d =$c+$b1; 42 43 BEGIN_TEXT 44 Let $$\displaystyle \int_{a}^{d} f(x)\, dx =a1, \ \int_{a}^{b} f(x)\, dx=a2, \ \int_{c}^{d} f(x)\, dx =a3$$. 45$BR$BR 46 Find $$\displaystyle \int_{b}^{c} f(x)\, dx=$$ \{ans_rule( 20)\} 47$BR
48 $BR 49 and $$\displaystyle \int_{c}^{b} a1 f(x)- a2 \, dx=$$ \{ans_rule( 20)\} 50 51 END_TEXT 52 53$ans1="$a1-($a2)-($a3)"; 54$ans2="-($a1*($ans1))+$a2*$b1";
55
56 ANS(num_cmp($ans1), num_cmp($ans2));
57
58 ##set $PG_environment{'textbook'} in webworkCourse.ph 59 if (defined($textbook)) {
60    if (\$textbook eq "EllisGulick5") {
61 BEGIN_TEXT
62 This is similar to Problems 9-12 in Section 5.3 of the text.
63 END_TEXT
64 }
65 }
66
67 ENDDOCUMENT();        # This should be the last executable line in the problem.
68