Matematicas mettodos numericos

PART II
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. 2011204

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...