SalasSV_08_SkillReview_ans - A-112 21. ANSWERS TO...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A-112 21. ANSWERS TO ODD-NUMBERED EXERCISES 23. 9 9 2 2 1 1 + g 2 (x ) + C 2 25. 1 8 27. 4 − 64/3 4 29. 19 3 31. 9 2 33. 1 9 3 35. 3 4 37. (a) −1 1 2 + x − x2 dx = 39. (a) 1 4 2 2(x − 1) dx + 2(x − 1) − x + 5 dx (b) −2 2 − y + y dy + 43. 2 2 − y dy 45. (a) −1 2 π r3 3 (b) −2 y + 4 − 1 y2 dy = 18 2 47. 8 + π2 2π y= 64 21 41. 1 1 + x2 2x 1 − 1 + x4 1 + x2 57. (a) (b) f (x) = − sin x √ 59. 3 3 13 2 49. 4 π 15 51. 6 π 7 53. π − 1 π 2 4 65. x = y = 16 ; 35 55. 2π (b) 16 π 35 43 r 3 61. x = 16 , 15 63. x = 0, y = 1 π 8 the two volumes are equal: V = 67. inches 69. 1100 ft-lbs ANSWERS, SKILL MASTERY REVIEW THREE (p. 512) 1. f −1 (x) = (x − 2)3 7. f (x) = 3. f is not one-to-one 1 2 5. f (x) = −ex < 0 on (−∞, ∞); ( f −1 ) (1 + ex )2 11. ex − e3x (1 + e2x )2 13. 1 2 = −4 3x2 + 3x ln 3 x 3 + 3x 3 − 4 ln |x + 1| + C x 23. − 2 cos3 x + C 3 33. π 12 √ 4 + x2 > 0 on (−∞, ∞); ( f −1 ) (0) = x tanh x − ln ( cosh x) x2 17. 2 3 9. 24 [ln x]2 x 15. ( cosh x)1/x 25. 35. 1 2 19. 2[x cosh x − sinh x] + C 1 2 21. 4 ln |x| + − 1 e −2 4 41. 1 2 [x ln |x + 1| − x + ln |x + 1|] + C √ 37. − 27. ln | sec x| − sin2 x + C 39. 1 6 29. 3 4 31. − 1 [ln ( cos x)]2 + C 2 ln 2 + √ 3− 1 4 x 2x 2x − +C ln 2 (ln 2)2 1 2 a2 − x 2 − sin−1 x 45. 1 π 2 1 2 x +C a tan6 x + C 49. x = ln 3 43. sin−1 x − 1 2 √ √ x 1 − x2 − 1 − x2 + C 47. a2 ln 2 √ 6−3 3 3 ln 3 , y= π 2π 51. (b) A = 2 (c) x = 1 π , y = 5 π 2 8 53. [1 − ln 4 + e2 (1 + ln 4)] 55. (a) f increases on (−∞, −1] and [0, 1]; f decreases on [ − 1, 0] and [1, ∞]; (b) absolute max: f (−1) = f (1) = e−1 ; absolute min: f (0) = 0 √ √ √ (c) concave up on −∞, − 1 5 + 17 , − 1 5 − 17, 1 5 − 17 , and 2 2 2 √ √ and 1 5 − 17, 1 5 + 17 2 2 (d) 1 2 5+ √ 17, ∞ ; concave down on − 1 5 + 2 √ 17, − 1 5 − 2 √ 17 0.2 –4 –2 2 4 57. T = − ln 2 ∼ = 3. 1 years ln 0. 8 59. (a) 6.94 grams (b) 18,935 years ago ANSWERS, SKILL MASTERY REVIEW FOUR (p. 704) 1. 2 1 –4 –3 –2 –1 –1 –2 –2 –1 –1 –2 –3 3. 2 1 1 2 6π 9 π 4 ...
View Full Document

This note was uploaded on 10/12/2010 for the course MATH 12345 taught by Professor Smith during the Spring '10 term at University of Houston - Downtown.

Ask a homework question - tutors are online