Content errors in first printing of Calculus: Modeling and Application

Page Change
xiv The title of Chapter 5 in the Table of Contents should be Applications of Iteration.
7 lines 2 and 4, change Table reference 1.0 to 1.5 (twice)
7 lines 6 and 9, change Figure reference 1.2 to 1.3 (twice)
7 delete duplicate line (Armstrong) in Table 1.3
13-14 replace 79 by 76 in discussion of EA 2 -- slope changes to -2.54
33 interchange lines 12, 15 (both lines start with "but")
38 Graph of f(x) in Fig. 1.18 is wrong -- it should go through (-4,0) (as it does in Fig. 1.19).
39 Answer to Checkpoint 2(c): interchange definitions of f(x) and g(x).
47 wrong graphic inserted for Fig. 1.25 -- should be mirror image
60 number in second line of Checkpoint 3(b) should be 3.7238150634272 x 10-7
65 Ex 10(a), change "admitted" to "enrolled" (twice)
93 Ex. 17, change reference to Ex. 31 in Section 1.3
126 First line of discussion after EA 2, "k is approximately -0.30."
130 Ex. 2, change first y value in table to 2.709.
138 In Fig. 2.59, first number on horizontal axis should be 1981.
178 Ex. 38, change "Apollo 11" to "Apollo 14"
203 Line 12 should start "f(-2) = -16."
210 In second line of Ex. 19, change 0.92 to 0.82.
212-213 At bottom of 212 and top of 213, change -1/2 to -sqrt(2/3)
and 1/2 to sqrt(2/3). (8 changes)
273 In line -4, the end of the line should read "... that has the value 0 ...".
279 The numbers are wrong in the Solution to Example 1. They should be
2 + 3(0.1) = 2.3
2.3 + 3.3(0.1) = 2.63
2.63 + 3.63(0.1) = 2.993
407 last line, col 2, formula should be (1/c) ln (|x|/|c-x|)
409 change coefficient in last display to 0.45
410 lines 1-2, add "some other cycle, " before "or"
410 change numbers in Exs. 18-21: 1.9, 1.95, 2, 2.05
425 last display, change unit from “second” to “minute”
440 In Fig 8.16, the dots for '57-'60 are not connected in proper order
462 Table 8.9, change last entry in row 1 to 400
462 lines -3 and -1, change “density” to “mass”
526 Exs. 13-16, change all integral limits to -3 to 3
529 In text between Exercises 4and 5, the reference should be to Exercises 1-4
529 In text between Exercises 8 and 9, the reference should be to Exercises 1-8
540 In first line of part (h), Project 3, the reference should be to part (g).
568 Add footnote 2 to Ex. 12 crediting Sam Morris, Duke University
569 Increase footnote number by 1
581 Increase footnote numbers by 1
582 Increase footnote number by 1
583 Increase footnote numbers by 1
591 Increase footnote numbers by 1
602 Increase footnote numbers by 1
604 Increase footnote numbers by 1
620 Last displayed formula, last subscript should be n-1
639 In Exercise 34, a should be 1
640 In Exercise 40, a should be 1
670 lines 7-9, the discussion of x = -sqrt(2) is wrong -- the series converges there, by odd symmetry, to -sqrt(2) ln 2
676 Table 11.11, last four entries in n=5 row should be 0.3333, 0.4000, 7.4000, -0.0109
694 Ex 32, denominator should be arctan 3x
A1 Formula 22 is incorrect. The correct formula is
ln |u + sqrt(a2 + u2)| + C.
A9 2.6, Ex. 5(d), answer should be "The data points appear straight on a graph with logarithmic scale on the horizontal axis." (Delete second sentence.)
A9 Ch 3, Ex 31, answer should be (v)
A9 4.1, Ex. 17(a), answer should be height = 8.12 in.
A9 4.2, Ex. 9, answer should be concave up for t < 0.2045 and t > 2.833, concave down for t between these values
A10 4.6, Ex. 2, answer should be to lay the pipe aong the edges of the square.
A10 4.7, Ex. 16, answer should be -1/(x + 5)2
A10 4.7, Ex. 20, answer should be -2x/(x2 + 5)3/2
A10 4.8, Ex. 12, answer should be 2x/[3(1 + x2)2/3]
A10 Ch. 4, Ex 21, answer should be 1 + 3e-3t
A10 Ch. 4, Ex 23, answer should be -9e-3t
A11 8.2, Ex 18, answer should be e - 1/e = 2.350
A11 8.2, Ex. 21(a), answer should be 20
A12 Ch 8, Ex 31(b), answer should be 1/(n+1)
A12 9.1, Ex 17, answer should be 80.99 grams
A12 9.4, Ex 20, answer should be sqrt(2) - 1 = 0.4142
A13 9.5, Ex 17, answer should be
(1/12) cos52x sin 2x + (5/48) cos32x sin 2x + 5x/16 + (5/32) sin 2x cos 2x + C
A13 9.5, Ex 24, answer should be

(1/14sqrt(7)) arctan x + x/[14(7 + x2)] + C
A13 Ch 9, Ex 53, answer should be (1/[2sqrt(29)]) ln |[x+3+sqrt(29)]/[x+3-sqrt(29)]| + C
A13 10.1, Ex 4, answer should be 29/3
A13 11.1, Ex 32(a), second coefficient in answer should be -1/6
A14 11.3, Ex 35, answer should be [0.388,1.734]
A14 11.3, Ex 40, answer should be [-0.268,2.045]
A14 11.6, Ex 9, answer should be 7
A14 11.6, Ex 22, answer should be (e2 - 1)/2


Acknowledgement: Thanks to students and faculty at Duke University, Jacksonville University, Rock Island High School, Birmingham Southern College, Raritan Valley Community College, and the U. S. Military Academy for helping us locate and correct errors in our text. We welcome additional corrections from readers anywhere, and we will be happy to acknowledge your contributions in this space. The Authors

Please e-mail additional corrections to
David A. Smith <das@math.duke.edu>

Last modified: May 10, 1999