$100

2. $100 $100 $100 $100 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $500 $500 $500 $500 $500 $100 $200 $400 $400 $400

3. Derivatives

4. Integrals

5. Tangent Lines

6. PVA

7. Potpourri

8. Tangent Lines Derivatives Integrals PVA Potpourri $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500

9. Derivatives- $100

10. Derivatives - $200

11. Derivatives - $300

12. Derivatives - $400

13. Derivatives- $500

14. Integrals - $100

15. Integrals - $200

16. Integrals - $300

17. Integrals - $400

18. Integrals - $500

19. Tangent Lines - $100 If f (2) = 5 and f '(2) = 3, write the equation of the line tangent to f (x) at x = 2

20. Tangent Lines - $200 If the line tangent to f (x) at the point (3, -4) passes through (11, -8), find f '(3)

21. Tangent Lines - $300

22. Tangent Lines - $400 If f (2) = 3 and f '(2) = -5, And if g(x)=x·f(x), write the equation of the line tangent to g(x) at x = 2.

23. Tangent lines - $500 If f (1) = 4 and f '(1) = 3, use the tangent line to approximate f (1.1). If f ''(1) = 5, determine if your approximation is greater or less than the actual value and state why.

24. PVA - $100 If a particle's position is given by x(t) = 2t3 – 21t2 + 72t – 53, t ≥ 0, at what time(s) is the particle at rest? State why.

25. PVA - $200 If a particle's position is given by x(t) = 2t3 – 21t2 + 72t – 53, t ≥ 0, where x is in feet and t is in seconds, what is the particle's acceleration at t = 4? Include units with your answer.

26. PVA - $300 If a particle's position is given by x(t) = 2t3 – 21t2 + 72t – 53, t ≥ 0, for what values of t is the velocity increasing? State why.

27. PVA - $400 If a particle's position is given by x(t) = 2t3 – 21t2 + 72t – 53, t ≥ 0, where x is in feet and t is in seconds, what is the particle's average velocity from t = 0 to t = 2? Include units with your answer.

28. PVA - $500 Calculator question: A particle's acceleration is given by a(t) = ln(1 + 2t). If v(1) = 2, find v(2).

29. Potpourri - $100 The radius of a circle is increasing at a constant rate of 5 m/sec. What is the rate of increase in the area of the circle at the moment its circumference is 20π meters?

30. Potpourri - $200 ("DNE" will not be accepted)

31. Potpourri - $300 find a and b so that f (x) is differentiable at x = 3.

32. Potpourri - $400 Calculator question: The base of a solid is the region in the first quadrant bounded by the y-axis, y = tan-1x, y = 3 and x = 1. If each cross section perpendicular to the x-axis is a rectangle with a height of 4, what is the volume of this solid?

33. Potpourri - $500 A population changes at a rate inversely proportional to the square of the population at any given time. If the initial population is 30 and after 10 years it is 300, what is the population after 17 years? (round to the nearest whole number)

34. Derivatives- $100 2(x3 + 1)(3x2) or6x2(x3 + 1) or 6x5 + 6x2

35. Derivatives - $200

36. Derivatives - $300 -2/5

37. Derivatives - $400 sin(x6)·2x

38. Derivatives - $500 1/4

39. Integrals - $100

40. Integrals - $200

41. Integrals - $300 10

42. Integrals - $400

43. Integrals - $500

44. Tangent Lines - $100 y – 5 = 3(x – 2) or y = 3x – 1

45. Tangent Lines - $200 -1/2

46. Tangent Lines - $300 4/9

47. Tangent Lines - $400 y – 6 = -7(x – 2) or y = -7x + 20

48. Tangent Lines - $500 f (1.1) ≈ 4.3 This is less than the actual value because f (x) is concave up

49. PVA - $100 At t = 3, t = 4 because the velocity is zero

50. PVA - $200 6 ft/sec2