AP+Calculus+Even+Answers

toc =Even answers=

p. 66
52. (b)

54. (a)

72. True since the limit can be split into the lim 1 and lim sin(x)/x as x approaches 0.

p. 84
14. Everywhere in [–1, 3) except for x = 0, 1, 2.

54. False. Consider f(x) = 1/x which is continuous and has a point of discontinuity at x = 0.

p. 124
32. 1/sqrt(x) + 1/(2xsqrt(x)) 54. True. Since f'(x) = –1/x^2 is never zero, there are no horizontal tangents.

p. 126
1. D 2. A 4. a. x = 0 and ±sqrt(2) b. y = –4x + 1 c. y = 1/4x – 13/4

Unit 2 IW #2
solutions

Unit 2 IW #4
solutions

p. 124
14. (x^2 – 3)/x^2 which is the same as 1 – 3/x^2 56. D 58. B

Unit 2 Quiz 1
solutions

p. 135
40. False- it's the absolute value of velocity. 42. C

p. 146
26. a. Prove using the quotient rule on cos(x)/sin(x). Don't forget that great Pythagorean Identity... b. Prove using the quotient rule on 1/sin(x).

p. 148
2. A 4. a. 2 m b. Typo!!! Should say "Find the *instantaneous* velocity..." or just "Find the velocity..." So, v(t) = –2t + 1 m/sec c. 0 ≤ t ≤ 0.5 d. a(t) = –2 m/s^2 e. 3 m/sec

p. 158
58. a. 1 b. 6 c. 1 d. –1/9 e. –40/3 f. –6 g. –4/9 72. E

p. 167
62. A 64. C

Unit 2 IW #8
solutions

p. 169
2. B 4. a. b. y + 2 = 2(x – 1) and y = 3 c. fifth root of –24

p. 171/Exploration 1
1. Yes! 2. f'(x) = 5x 4 +2 Since this function is always positive, f is always increasing- hence, it passes the horizontal line test and is one-to-one (i.e. has an inverse). 3. Do it! 4. Do it! 5. (1, 2) 6. 7 7. 1/7 8. 1/7

Unit 2 IW #10 & 11
solutions

p. 198
46. False- consider a 5th degree polynomial with four relative extrema... 48. E 50. B 52. a. No b. No c. No d. min value is 0 at x = –3, 0, and 3 and local max at (–sqrt(3), 6sqrt(3)) and (sqrt(3), 6sqrt(3)).

p. 206
54. B 56. D

Unit 3 IW #2
solutions

p. 219
56. True- this is the Second Derivative Test for a local maximum. 58. E 60. A

p. 231
20. 4/sqrt(21) (which is about 0.87 miles) down the shore from the point nearest her boat 22. radius = 10sqrt(2/3) (about 8.16 cm) height = 20/(sqrt(3)) (about 11.55 cm) volume = 4000π/(3sqrt(3)) (about 2418.40 cm 3 ) 56. E

Section 5-4
solutions

p. 248
60. D 62. A

Section 5-6
solutions

Unit 4 IW #1
solutions

Unit 4 IW #2
solutions

Unit 4 IW #4
solutions

Unit 4 IW #5
solutions

Unit 4 IW #6
solutions

Unit 4 IW #8
solutions p. 294 46. False- consider an odd function from -a to a. The area below the x-axis cancels the area above the x-axis. 48. D 50. C

Unit 4 IW #9
p. 297 2. B 4. a. f(x) = x 3 + 6x 2 + 4x – 5 b. –3

Unit 4 IW #10
solutions

Unit 4 IW #11
p. 320 54. a. 0 b. –1 c. –π

p. 377 40. (d) 42. (a)

Unit 5 IW #1
p. 342 32. -2/3(cot(x))^(3/2) + C 34. 1/4(tan(x/2))^8 + C 48. tan(x) + (tan(x))^3/3 + C 54. 1/3 76. A

Unit 5 IW #2
p. 390 32. True. Since the velocity is positive, the integral of the velocity is equal to the integral of its absolute value, which is the total distance traveled. 34. D 36. A

Unit 5 IW #3
p. 399 2. 4π/3 4. 4/3 10. 5/6 14. 49/6 52. A 54. B

Unit 5 IW #4
p. 410 66. E

Unit 5 Quiz 1
solutions

Unit 5 IW #5
solutions p. 411 68. D

Unit 5 IW #6 & #7
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