Download AP Calculus by Shirley O. Hockett, David Bock PDF

By Shirley O. Hockett, David Bock

Either Calculus AB and Calculus BC are coated during this finished AP try training guide. potential attempt takers will locate 4 perform tests in Calculus AB and 4 extra in Calculus BC, with all questions spoke back and suggestions defined. The handbook additionally offers a close 10-chapter evaluation protecting issues for either checks. The authors additionally provide an summary of the AP Calculus tests, such as suggestion to scholars on making top use in their graphing calculators.

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Sample text

The graph of the pair of parametric equations x = sin t Ϫ 2, y = cos2 t is part of (A) a circle (D) a line ∫ x a (C) a hyperbola x g(t ) dt − ∫ g(t ) dt is equal to (A) 0 b (B) b Ϫ a (C) a Ϫ b 26. The solution of the differential equation (A) y = – 12 for x ≠ 0 x (D) ∫ b a g(t ) dt dy = 2xy2 for which y = –1 when x = 1 is dx (B) y = – 12 for x > 0 x (D) y = – 1 for x ≠ 0 x (E) g(b) Ϫ g(a) (C) ln y2 = x2 – 1 for all x (E) y = – 1 for x > 0 x 27. The base of a solid is the region bounded by the parabola y2 = 4x and the line x = 2.

A) The differential equation x 2 e y dy = 4 is separable: dx 4 dx 2 ∫ e dy = ∫ x y e y = − 4 + c. x If y = 0 when x = 2, then e 0 = - 4 4 + c; thus c = 3, and e y = - + 3. 2 2 4ˆ Ê Solving for y gives the solution: y = ln 3 - . Ë x¯ 4ˆ 4 Ê Note that y = ln 3 is defined only if 3 - > 0. Ë x¯ x 3x - 4 > 0. only if the numerator and denominator have the same sign. x ( x > 0 and 3 x - 4 > 0) OR ( x < 0 and 3 x - 4 < 0), Ê x > 0 and x > 4 ˆ Ë 3¯ OR Ê x < 0 and x < 4 ˆ . Ë 3¯ ⎧ ⎨ x x < 0 OR ⎩ 4⎫ x > ⎬.

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. 7_4324_APCalc_02DiagnosticBC 10/4/09 1:37 PM Page 57 Diagnostic Test Calculus BC 57 ANSWERS EXPLAINED The explanations for questions not given below will be found in the answer section for Calculus AB Diagnostic Exam on pages 30–36.

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