Matematicas mettodos numericos
Chapter Chapter Chapter Chapter Chapter Chapter P 1 2 3 4 5
ANSWER KEY TO CHAPTER TESTS
Preparation for Calculus .................... Limits and Their Properties . . . . . . . . . . . . . . . . . . Differentiation . . . . . . . . . . . . . . . . . . . . . . . . . . . . Applications of Differentiation . . . . . . . . . . . . . . . Integration . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . .. Logarithmic, Exponential, and Other Transcendental Functions .............. Applications of Integration .................. ... Integration Techniques, L’Hôpital’s Rule, . . . . . . . . . and Improper Integrals . . . . . . . . . . . . . . . . . . . . . . Infinite Series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. Conics, Parametric Equations, and PolarCoordinates . . . . . . . . . . . . . . . . . . . . . . Vectors and the Geometry of Space ........... Vector-Valued Functions . . . . . . . . . . . . . . . . . . . . Functions of Several Variables ............... Multiple Integration . . . . . . . . . . . . . . . . . . . . . . . . Vector Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . ... 202 204 205 206 208 209 210 211 212 213 215 217218 219 220
Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12 Chapter 13 Chapter 14
202
Chapter P
Answers to Tests
Answers to CHAPTER P Tests
Test Form A 1. d 5. d 9. d 13. d 17. c Test Form B 1. a 5. a 9. b 13. c 17. a Test Form C 1. a 5. d 9. c 13. a Test Form D 1. f 2. 0, 4. x 6. a. x
1 3
15.
5
y
3
2. c 6. a 10. c 14. c 18. a
3. c 7. b 11.b 15. a 19. d
4. a 8. b
−3 −2
2 1
(1, 3)
x −1 −1 −2 1 2 3 4
12. b 16. d 20. d
16. Slope: 17. a. 4
5 4,
y-intercept 0, 3 1 1.50x c. 3 b. $45.00 c. 51
b. 24
2. b 6. c 10. e 14. d 18. d
3. d 7. b 11. a 15. c 19. a
4. c 8. c 12. c 16. b 20. a
18. a. S
Test Form E 1. a. y b.
4 3
3±
1
x
y
2
2
2
2. b 6. b 10. d 14. d
3. b 7. b 11. c 15.b
4. c 8. d
−4 −3
(−2, 3)
1 x
−2
−1
12. b 16. d 2. One such equation is y 3. a.
4 y
x3
25x.
x x ,
1 2,
2
x 1 x2 1
f x
3
0
3. 0, 0 , 2, 4 2y c. 11 1 0 4 x x
2
−2
1 x 2
6
b. 2
1 7. 2x 8. x 3 5 x 9. All reals except 1 ± 3 10.
2 1 x −2 −1 2 2 y
b.
2, 0 ,
1, 0 , 0, 2 , 1, 0 ,
2, 0
c. Symmetric with respect to the y-axis. 4.Symmetric to the origin
y 5 4
11.
5. 6.
(0, 4)
2, 2 and 5, 9
y 4
7. a. 3 b. 2 c. 0
(−2, 0)
−3 −2 −1
1 x 1 −1 2 3
2 1 x −3 −1 1
d.
1
12. a and b
13. 3x
5
14. Neither
© Houghton Mifflin Company. All rights reserved.
2
5. 3x
Chapter P
Answers to Tests
203
8. a.
3 2
y
x −3 −2 −1 −2 −3 1 2 3
b. Domain: c. d. 9.
2,
; Range:2,
1, 0 , 0, 1.4 1, 0 and 0, 2.4, 0.41, 2 x x x4 f x 3 x
4
2 11. 3
10. a, d, and e
12. 2x 13. Even. f
2 1
x
2
1
2x2
14.
1
y
x −2 −1 1 2
−2 −3
15. Answers will vary. Some examples are 1, 7, 9 . 16. y
© Houghton Mifflin Company. All rights reserved.
1 and
2 x 3
3
1
17.
x 3
3
18. a. S
12,500t
224,000
c. $160,000 d. 2011204
Chapter 1
Answers to Tests
Answers to CHAPTER 1 Tests
Test Form A 1. b 5. d 9. d 13. b 17. d Test Form B 1. c 5. a 9. e 13. a 17. b Test Form C 1. c 5. a 9. d 13. a 17. a Test Form D 1. 6. 10. 14. 16. x 17. a. 20. x 3 7 6 3 2. 0.001 1 7. 12 11. 15. 2, removable; x 5 x4 1 2 1 b. 5 1, 1 , x 2, nonremovable 18. 27 1 2 5 19. x 7
1 3
7. a.
4 3
y
2. d 6. c 10. a 14. a 18. b3. a 7. b 11. c 15. c 19. b
4. a 8. b 12. a 16. a 20. c b. 4 8. a. 4 c. c. 4 b. g x
y 10 8 6 −4 −3 −1
1 x 1 −1 −2 2
x2
2. c 6. b 10. c 14. d 18. a
3. d 7. b 11. b 15. a 19. c
4. b 8. d 12. b 16. c 20. b 9.
−3 −2 −1
4 2 x 1 2 3
2. d 6. a 10. c 14. a 18. c
3. b 7. a 11. b 15. c 19. a
4. b 8. b 12. c 16. d 20. a 13.
1 2 x 2n
2
10. 2x 1
2
11.
1...
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