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Tue Nov 8 15:17:41 2011 UTC (2 years, 5 months ago) by aubreyja
File size: 1493 byte(s)
Rogawski problems contributed by publisher WHFreeman. These are a subset of the problems available to instructors who use the Rogawski textbook. The remainder can be obtained from the publisher.

    1 # DBsubject('Calculus')
2 # DBchapter('')
3 # DBsection('')
4 # KEYWORDS('')
5 # TitleText1('Calculus: Early Transcendentals')
6 # EditionText1('2')
7 # AuthorText1('Rogawski')
8 # Section1('10.7')
9 # Problem1('1')
10 # Author('Emily Price')
11 # Institution('W.H.Freeman')
12 DOCUMENT();
13
14
15
17
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22
24
25 #Book Values
26 #$base = 2; 27 28$constant1 = non_zero_random(-15, 15);
29 $constant2 = non_zero_random(-15, 15); 30$constant3 = non_zero_random(-15, 15);
31 $constant4 = non_zero_random(-15, 15); 32 33$maclaurin = Formula("$constant1 +$constant2*x + ($constant3*x^2)/2! + ($constant4*x^3)/3!")->reduce;
34
35 Context()->texStrings;
36
37 BEGIN_TEXT
38 \{ beginproblem() \}
39 \{ textbook_ref_exact("Rogawski ET 2e", "10.7", "1") \}
40 $PAR 41 Write out the first four terms of the Maclaurin series of $$f(x)$$ if 42 $f(0) = constant1, \qquad f'(0) = constant2, \qquad f''(0) = constant3, \qquad f'''(0) = constant4$ 43$PAR
44 $$f(x)$$ = \{ans_rule() \} $$+ \cdots$$
45 END_TEXT
46
47 Context()->normalStrings;
48
50 ANS($maclaurin->cmp); 51 52 Context()->texStrings; 53 SOLUTION(EV3(<<'END_SOLUTION')); 54$PAR
57 The first four terms of the Maclaurin series of $$f(x)$$ are
58 $f(0) + f'(0)x + \frac{f''(0)}{2!}x^2 + \frac{f'''(0)}{3!}x^3$
59 $= maclaurin.$