AP Calculus AB - download pdf or read online

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By William Ma

ISBN-10: 007137714X

ISBN-13: 9780071377140

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Extra info for AP Calculus AB

Example text

Cos(2x) + 2 2 9. 50 feet 10. 0 11. 21. A 1 22. 6 255 128 ln 2 89. q 77. 2π 90. 370 78. I 91. 76 81 92. 10 79. x < x2 80. 8 Answers to Diagnostic Test—Section II Part A Part B 9 1. ) 2. ) (c) f (t ) = 100 − ∫ 10 sin(πx 12)dx t 0 (d) 8 minutes 3. 5 (b) −1 (c) lim f ( x) = ∞ & lim f ( x) = 0 x →∞ x → −∞ 1 (d) − 2e (e) See solution. ) 4. (a) (b) (c) (d) (e) x=2 x=5 (−4, 0) and (4, 6) x = 0 and x = 4 See solution. 5. (a) 4 128π (b) 7 6 (c) 2 128 (d) 7 7 dy −y = dx x (b) y = 2x − 4 1 3 (c) y = − x − 2 2 (d) (2, −1) and (−2, 1) 6.

Y = −4x + 22 16. A 27. C 5. See solution. 17. 2 28. I & III 6. 2 −1 7. − x+c x 8. {−2, 5} 18. II & III Part B 85. 657 − ln 2 86. 5730 87. 983 1  19.  , 1 2  76. 132/3 88. 503 1 −1 20. cos(2x) + 2 2 9. 50 feet 10. 0 11. 21. A 1 22. 6 255 128 ln 2 89. q 77. 2π 90. 370 78. I 91. 76 81 92. 10 79. x < x2 80. 8 Answers to Diagnostic Test—Section II Part A Part B 9 1. ) 2. ) (c) f (t ) = 100 − ∫ 10 sin(πx 12)dx t 0 (d) 8 minutes 3. 5 (b) −1 (c) lim f ( x) = ∞ & lim f ( x) = 0 x →∞ x → −∞ 1 (d) − 2e (e) See solution.

77. If g( x) = ∫ x π 2 78. If g( x) = x − 4x − 12 , which of the following statements about g are true? 2 I. g has a relative maximum at x = 2. II. g is differentiable at x = 6. III. g has a point of inflection at x = −2. 79. The graph of f′, the derivative of f is shown in Figure D-7. At which value(s) of x is graph of f concave up? y 81. The velocity function of a moving particle is t3 v(t ) = − 2t 2 + 5 for 0 ≤ t ≤ 6. What is the 3 maximum acceleration of the particle on the interval 0 ≤ t ≤ 6?

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AP Calculus AB by William Ma


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