CALCULUS BC



TO: Next Year’s AP Calculus AB Students

FROM: Ms. Banan, bananf@

AP CALCULUS AB

SUMMER WORK

This summer work packet is due the first day of school. It will be turned in the first day of Calculus class and will count as a quiz grade.

Work these problems on notebook paper. All work must be shown.

Use an online graphing calculator only on problems 40 - 50.

I will plan and an announce on GroupMe, some virtual classes during summer to review these objectives and answer possible questions.

Find the x- and y-intercepts and the domain. No calculator.

1. [pic] 2. [pic] 3. [pic]

4. [pic] 5. [pic] 6. [pic]

7. [pic] 8. [pic] 9. [pic]

10. [pic] 11. [pic]

[pic] [pic]

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Find the asymptotes (horizontal, vertical, and slant), symmetry, and intercepts.

No calculator.

14. [pic] 15. [pic] 16. [pic] 17. [pic]

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Solve. No calculator.

18. [pic] 19. [pic] 20. [pic] 21. [pic]

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Evaluate. No calculator.

22. [pic] 23. [pic] 24. [pic]

25. [pic] 26. [pic] 27. [pic]

28. [pic] 29. [pic] 30. [pic]

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Solve. Give exact answers in radians, [pic] No calculator.

31. [pic] 32. [pic] 33. [pic]

34. [pic] 35. [pic] 36. [pic]

37. [pic] 38. [pic] 39. [pic]

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Solve. Show all steps. Use your calculator, and give decimal answers correct to three decimal places.

40. [pic] 41. [pic] 42. [pic]

43. [pic] 44. [pic] 45. [pic]

46. [pic] 47. [pic]

48. [pic] 49.[pic]

50. The number of students in a school infected with the flu t days after exposure is modeled by the

function [pic].

(a) How many students were infected after three days?

(b) When will 100 students be infected?

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Use the figure to find the limit. No calculator.

51. [pic] 52. [pic]

53. [pic] 54. [pic]

55. [pic] 56. [pic]

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Evaluate. Show supporting work for each problem (algebraic steps or sketch). No calculator.

57. [pic] 58. [pic] 59. [pic]

60. [pic] 61. [pic] 62. [pic]

Evaluate. Show supporting work for each problem (algebraic steps or sketch). No calculator.

63. [pic] 64. [pic] 65. [pic]

66. [pic]

TURN->>>

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Use the definition of the derivative to find the derivative. No calculator.

| [pic]. (You must know this formula.) |

67. [pic] 68. [pic]

69. [pic] 70. [pic]

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Use the differentiation rules (power rule, product rule, quotient rule) to find the derivative. Do not leave negative exponents or complex fractions in your answers. No calculator.

71. [pic] 72. [pic]

73. [pic] 74. [pic]

75. [pic]

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