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AP Calculus by Shirley O. Hockett, David Bock

By Shirley O. Hockett, David Bock

Either Calculus AB and Calculus BC are lined during this complete AP try instruction handbook. potential try out takers will locate 4 perform checks in Calculus AB and 4 extra in Calculus BC, with all questions responded and ideas defined. The handbook additionally presents an in depth 10-chapter overview overlaying issues for either assessments. The authors additionally provide an summary of the AP Calculus assessments, such as suggestion to scholars on making top use in their graphing calculators.

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

9 . 3 . 9 t 35 Diagnostic Test Calculus AB 7_4324_APCalc_01DiagnosticAB Diagnostic Test Calculus AB 7_3679_APCalc_01DiagnosticAB 36 10/3/08 4:18 PM Page 36 AP Calculus 26 y x 41. (C) See the figure above. Since x2 ϩ y2 = 262, it follows that dy 2 x dx + 2 y = 0 dt dt at any time t. When x = 10, then y = 24 and it is given that Hence, 2(10)(3) + 2(24) 42. 5 dy dy = 0, so =– . 4 dt dt (E) Let u = 2x and note that F ′( x ) = 1 . 1 − u3 Then F ′( x ) = F ′(u)u ′( x ) = 2 F ′(u) = 2 i 43. (D) v(5) Ϫ v(0) = ∫ 5 0 dx = 3 .

5 to estimate f(1). (c) Solve the differential equation, expressing f as a function of x. 5. Let C represent the arc of the curve determined by P(t) = (9 – t2,2t ) between its y-intercepts. Let R represent the region bounded by C and the y-axis. Set up, but do not evaluate, an integral in terms of a single variable for: (a) the area of R; (b) the length of C; (c) the volume of the solid generated when R is rotated around the y-axis. 7_3679_APCalc_02DiagnosticBC 10/3/08 4:19 PM Page 55 Diagnostic Test Calculus BC 55 6.

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