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Find all the critical numbers of the function.

1. 2. 3. 4. 5. none of these. Find all the critical numbers of the function. x x x x x. 1. 2. 3. 4. 5. none of these. Find all the critical numbers of the function. x x x x x. Find the absolute maximum value of. 7 15 0 5 -6.

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Find all the critical numbers of the function.

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  1. 1. 2. 3. 4. 5. none of these Find all the critical numbers of the function. • x • x • x • x • x

  2. 1. 2. 3. 4. 5. none of these Find all the critical numbers of the function. • x • x • x • x • x

  3. Find the absolute maximum value of . • 7 • 15 • 0 • 5 • -6

  4. Find the absolute maximum value of . • 7 • 15 • 0 • 5 • -6

  5. Find the limit. • x • 0 • x • x • 1

  6. Find the limit. • x • 0 • x • x • 1

  7. Find ƒ. • x • x • x • x • none of these

  8. Find ƒ. • x • x • x • x • none of these

  9. Estimate the extreme values of the function. • 146, 182 • 1,226, -223 • 383.18, 200.95 • 150, -223 • 1,226, 182

  10. Estimate the extreme values of the function. • 146, 182 • 1,226, -223 • 383.18, 200.95 • 150, -223 • 1,226, 182

  11. Find the inflection points for the function given. , • x • x • x • x • x

  12. Find the inflection points for the function given. , • x • x • x • x • x

  13. 1. 2. 3. Sketch the curve. • x • x • x

  14. 1. 2. 3. Sketch the curve. • x • x • x

  15. 1. 2. 3. Sketch the curve. • x • x • x

  16. 3. Sketch the curve. • x • x • x

  17. How many points of inflection are on the graph of the function? • 1 • 2 • 4 • 3 • 5

  18. How many points of inflection are on the graph of the function? • 1 • 2 • 4 • 3 • 5

  19. 1. 2. 3. Sketch the curve. , • x • x • x

  20. 3. Sketch the curve. , • x • x • x

  21. Evaluate the limit. • ½ • 2 • 0 • ∞ • -2

  22. Evaluate the limit. • ½ • 2 • 0 • ∞ • -2

  23. Find two positive numbers whose product is 144 and whose sum is a minimum. • 4, 36 • 2, 72 • 12, 12 • 3, 48 • 6, 24

  24. Find two positive numbers whose product is 144 and whose sum is a minimum. • 4, 36 • 2, 72 • 12, 12 • 3, 48 • 6, 24

  25. A rectangular storage container with an open top is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $12 per square meter. Material for the sides costs $5 per square meter. Find the cost of materials for the cheapest such container. • $153.92 • $158.10 • $152.90 • $151.60 • $153.90 • $152.40

  26. A rectangular storage container with an open top is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $12 per square meter. Material for the sides costs $5 per square meter. Find the cost of materials for the cheapest such container. • $153.92 • $158.10 • $152.90 • $151.60 • $153.90 • $152.40 y x 2x

  27. Find the most general antiderivative of the function. • x • x • x • x • x

  28. Find the most general antiderivative of the function. • x • x • x • x • x

  29. Given that the graph of ƒ passes through the point (4, 69) and that the slope of its tangent line at is 10x - 4, find ƒ(1). • 1 • 12 • 11 • 6 • 0

  30. Given that the graph of ƒ passes through the point (4, 69) and that the slope of its tangent line at is 10x - 4, find ƒ(1). • 1 • 12 • 11 • 6 • 0

  31. 1. 2. 3. 4. 5. Find the critical numbers of • x • x • x • x • x

  32. 1. 2. 3. 4. 5. Find the critical numbers of • x • x • x • x • x

  33. Find the absolute maximum value of on the interval [- 6, 6]. • 5 • 6 • 7 • 0 • 1

  34. Find the absolute maximum value of on the interval [- 6, 6]. • 5 • 6 • 7 • 0 • 1

  35. Estimate the absolute maximum value of the function to two decimal places on the interval [0, 2]. • 0.87 • 1.3 • 1.95 • 1.5 • -0.87

  36. Estimate the absolute maximum value of the function to two decimal places on the interval [0, 2]. • 0.87 • 1.3 • 1.95 • 1.5 • -0.87

  37. Find any absolute or local maximum and minimum values of if • -4 is an absolute maximum • 6 is an absolute minimum • 6 is an absolute maximum • 6 is a local minimum • -4 is a local maximum • -4 is an absolute minimum

  38. Find any absolute or local maximum and minimum values of if • -4 is an absolute maximum • 6 is an absolute minimum • 6 is an absolute maximum • 6 is a local minimum • -4 is a local maximum • -4 is an absolute minimum Absolute max

  39. Find the critical numbers of the function. • 5, 0 • -2 • 20 • 0 • -1

  40. Find the critical numbers of the function. • 5, 0 • -2 • 20 • 0 • -1

  41. How many points of inflection are on the graph of the function? • 3 • 1 • 4 • 2 • 5

  42. How many points of inflection are on the graph of the function? • 3 • 1 • 4 • 2 • 5

  43. Find the maximum or minimum point(s) of the function. • (0, 1) • (-8.6, 6) • (-8, 2) • (8, 0) • (16, 1)

  44. Find the maximum or minimum point(s) of the function. • (0, 1) • (-8.6, 6) • (-8, 2) • (8, 0) • (16, 1)

  45. Let and be polynomials.Find if the degree of is 5 and the degree of is 9. • -4 • 9 • 4 • 0 • 5

  46. Let and be polynomials.Find if the degree of is 5 and the degree of is 9. • -4 • 9 • 4 • 0 • 5

  47. 1. 2. 3. Sketch the curve. • Choice One • Choice Two • Choice Three

  48. 1. 2. 3. Sketch the curve. • Choice One • Choice Two • Choice Three

  49. For what values of c does the curve have maximum and minimum points? • x • x • x • x • x

  50. For what values of c does the curve have maximum and minimum points? • x • x • x • x • x

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