By Shirley O. Hockett, David Bock

ISBN-10: 0764143247

ISBN-13: 9780764143243

Either Calculus AB and Calculus BC are coated during this finished AP attempt coaching handbook. potential try out takers will locate 4 perform assessments in Calculus AB and 4 extra in Calculus BC, with all questions responded and options defined. The handbook additionally presents an in depth 10-chapter evaluate protecting themes for either tests. The authors additionally supply an summary of the AP Calculus checks, along with recommendation to scholars on making top use in their graphing calculators.

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In the figure above, the area below the x-axis, from 2 to 3, is equal in magnitude to that above the x-axis, hence, 3 ∫1 f ′′(t ) dt = 0 . 10/3/08 4:18 PM Page 31 Diagnostic Test Calculus AB 10. (D) P ′(x) = 2g(x) · g ′(x) 11. (E) Note that H(3) = f -1 (3) = 2. Therefore 1 1 = = 1. f ′( H (3)) f ′(2) H ′(3) = 12. (D) Note that the domain of y is all x such that |x| Ϲ 1 and that the graph is symmetric to the origin. The area is given by 1 2 ∫ x 1 − x 2 dx . 0 13. (E) Since y ′ = 2(x – 3)–2 and y′′ = −4( x − 3)−3 = −4 ( x − 3)3 , y Љ is positive when x Ͻ 3.

If x = 2t Ϫ 1 and y = 3 Ϫ 4t 2, then (C) − (B) Ϫ4t (A) 4t dy is dx 1 4t (D) 2(x ϩ 1) (E) Ϫ4(x ϩ 1) 37. For the substitution x = sin θ, which integral is equivalent to ∫ 1 0 (A) (D) 0 ∫π / 4 cot θ d θ 1 cos 2 θ ∫0 sin θ (B) dθ π/2 ∫0 cot θ d θ (C) π / 2 cos 2 θ ∫0 sin θ 1− x2 dx ? x dθ (E) none of these 38. The coefficient of x3 in the Taylor series of ln (1 Ϫ x) about x = 0 (the Maclaurin series) is (A) − 2 3 (B) − 1 2 (C) − 1 3 (D) 0 (E) 1 3 Diagnostic Test Calculus BC ∞ (A) 7_3679_APCalc_02DiagnosticBC 50 10/3/08 4:19 PM Page 50 AP Calculus 39.

15. 16. 17. C D A D E D D (2) (3) (4) (6) (3) (4) (3) 18. 19. 10. 11. 12. 13. 14. B B D E A E D (5) (3) (3) (3) (5) (4) (9) 15. 16. 17. 18. 19. 20. 21. B E B D C A C (7) (9) (3) (8) (9) (6) (6) 22. 23. 24. 25. 26. 27. 28. D A B D B E C (9) (3) (1) (6) (9) (7) (2) B E A C B (5) (7) (10) (2) (10) 34. 35. 36. 37. B E B C (7) (10) (3) (6) 38. 39. 40. 41. C B E C (10) (9) (4) (4) 42. 43. 44. 45. E D C E (6) (6) (8) (7) Part B 29. 30. 31. 32. 33. NOTE: Chapters that review and offer additional practice for each topic are specified in parentheses.

### AP Calculus by Shirley O. Hockett, David Bock

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