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4. With Host... Your

5. 100 200 300 400 500 Derivatives Tangent Lines & Rates of Change Applications of derivatives Integration Applications of Integration Pot Pourri

6. NO Calculator A 100

7. -2 A 100 Correct Response One A

8. A 200 NO Calculator

9. ± 2 A 200

10. A 300

11. E

12. A 400

13. A

14. A 500

16. An equation of the line tangent to the graph of y = cos 3x at x = π/6 B 100 NO Calculator

17. B 100

18. At what point on the graph of y = ½ x – 3/2 is the tangent line parallel to the line 4x – 8y = 5 ? B 200 NO Calculator THERE IS A MISTAKE ON THIS SLIDE…SKIP IT

19. B 200

20. Let f be differentiable such that f(5) = 3 and f’(5)=2. If the tangent line to the graph of f at x = 5 is used to find an approximation to a zero of f, that approximation is B 300 NO Calculator

21. 3.5 B 300

22. Calculator Active B 400 Let f be the function given by For what positive value of a is the slope of the line tangent to the graph of f at (a, f(a)) equal to 6?

23. 0.344 B 400

24. B 500 NO Calculator

25. 1/16 B 500

26. is concave down for what values of x? C 100 NO Calculator

27. C 100

28. Calculator Active C 200 (A) -0.494(B) 0.259(C) 1.092 (D) 2.543(E) 3.310

29. C C 200

30. Calculator Active C 300 The graph of the function changes concavtiy at x = ?

31. 2.207 C 300

32. DAILY DOUBLE C 400 DAILY DOUBLE Place A Wager

33. Two roads cross at right angles, one running north/south and the other east/west. Eighty feet south of the intersection is an old radio tower. A car traveling at 50 feet per second passes through the intersection heading east. At how many feet per second is the car moving away from the radio tower 3 seconds after it passes through the intersection? C 400 Calculator Active

34. 44.12 C 400

35. Let f be a function such that f”(x) < 0 for all x in the closed interval [3,4], with selected values shown in the table. Which of the following must be true? C 500 X3.23.33.43.5 F(x)2.482.682.863.03 (A) f’(3.3) < 0(B) 0 < f’(3.3) < 1.6 (C)1.6 < f’(3.3) < 1.8(D) 1.8 < f’(3.3) < 2.0 (E) f’(3.3) > 2.0

36. D C 500

37. D 100 NO Calculator

38. D 100 10

39. D 200

40. e t/3 + C D 200

41. D 300

42. 8b – 3a D 300

43. D 400

45. D 500 NO Calculator

46. D 500 1 – e

47. The area of the region enclosed by the graph of y = x 2 + 2 and the line y = 11 E 100 NO Calculator

48. 36 E 100

49. No Calculator E 200 If the region enclosed by the y-axis, the line y = 2, and the curve is revolved about the y-axis, the volume of the solid generated is

50. E 200

51. Calculator Active E 300

52. 0.941 E 300

53. Calculator Active E 400 At time t > 0, the acceleration of a particle that is moving along the x-axis is a(t) = t + 2sin(t). At t = 0, the velocity of the particle is -4. For what value of t will the velocity of the particle be zero?

54. 1.78 E 400

55. E 500 Calculator Active Round to 5 decimal places The average value of f(x) = -sinx on the interval [-2, 4] is

56. -0.03958 E 500

57. F 100 NO Calculator

58. 5 F 100

59. If y = 3x + 6, what is the minimum value of x 3 y? F 200 Calculator Active

60. -5.0625 F 200

61. NO Calculator F 300

62. -25/64 F 300

63. No Calculator F 400

64. B

65. F 500

66. 2.507

67. The Final Jeopardy Category is: Differential Equation Please record your wager. Click on screen to begin

68. A crate of supplies is dropped from an airplane with a remote-controlled parachute. Let v(t) be the velocity (in m/s) of the crate at time t seconds, t > 0. After the parachute opens, the velocity of the crate satisfies the differential equation dv/dt = -3v – 15, with initial condition v(0) = -15. a)Find an expression for v in terms of t. b)Find the terminal velocity of the crate. (terminal velocity is Click on screen to continue

69. a) b) -5 m/sec Click on screen to continue

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