Calculus An Applied Approach 9th Edition By Ron Larson -Test Bank Instant Download - Complete Test Bank With Answers Sample Questions Are Posted Below 1. Find the indefinite integral and check your result by differentiation. A) B) C) 12 D) E) Ans: A 2. …
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Calculus An Applied Approach 9th Edition By Ron Larson -Test Bank
Instant Download – Complete Test Bank With Answers
Sample Questions Are Posted Below
| 1. | Find the indefinite integral and check your result by differentiation. | |
| A) | ||
| B) | ||
| C) | 12 | |
| D) | ||
| E) | ||
| Ans: | A | |
| 2. | Evaluate the integral . | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | D | |
| 3. | Find the indefinite integral and check your result by differentiation. | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | D | |
| 4. | Use algebra to rewrite the integrand; then integrate and simplify.
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| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | B | |
| 5. | Find the indefinite integral and check the result by differentiation.
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| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | none of the above | |
| Ans: | A | |
| 6. | Evaluate the integral . | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | D | |
| 7. | Find the indefinite integral and check the result by differentiation.
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| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | D | |
| 8. | Evaluate the integral . | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | C | |
| 9. | Evaluate the integral . | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | A | |
| 10. | Evaluate the integral . | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | E | |
| 11. | The graph of the derivative of a function is given below. Sketch the graphs of two functions that have the given derivative. | |||
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| Ans: | B | |||
| 12. | Find the particular solution that satisfies the differential equation and initial condition . | |
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| Ans: | C | |
| 13. | Find a function that satisfies the conditions . | |
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| C) | ||
| D) | ||
| E) | ||
| Ans: | B | |
| 14. | Find the cost function for the marginal cost and fixed cost of (for x = 0). | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | C | |
| 15. | A ball is thrown vertically upwards from a height of 10 ft with an initial velocity of 40 ft per second.
How high will the ball go? |
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| A) | 85.0000 ft | |
| B) | 28.7500 ft | |
| C) | 35.0000 ft | |
| D) | 65.0000 ft | |
| E) | 88.6000 ft | |
| Ans: | C | |
| 16. | An evergreen nursery sells a certain shrub after 8 years. The growth rate of the shrub is given by , where t is the time in years and h is the height in centimeters. The seedlings are 14 centimeters tall when planted (t = 0). How tall are the shrubs when they are sold? | |
| A) | 166 centimeters | |
| B) | 172 centimeters | |
| C) | 208 centimeters | |
| D) | 222 centimeters | |
| E) | 270 centimeters | |
| Ans: | D | |
| 17. | Identifyand for the integral . | |
| A) | and | |
| B) | and | |
| C) | and | |
| D) | and | |
| E) | and | |
| Ans: | B | |
| 18. | Identify u and for the integral . | |
| A) | and | |
| B) | and | |
| C) | and | |
| D) | and | |
| E) | and | |
| Ans: | C | |
| 19. | Find the indefinite integral of the following function and check the result by differentiation.
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| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | none of the above | |
| Ans: | D | |
| 20. | Evaluate the integral | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | D | |
| 21. | Find the indefinite integral of the following function and check the result by differentiation.
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| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | none of the above | |
| Ans: | D | |
| 22. | Evaluate the integral | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | E | |
| 23. | Find the indefinite integral of the following function and check the result by differentiation.
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| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | none of the above | |
| Ans: | B | |
| 24. | Evaluate the integral | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | D | |
| 25. | Find the indefinite integral of the following function and check the result by differentiation.
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| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | B | |
| 26. | Find the indefinite integral of the following function and check the result by differentiation.
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| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | A | |
| 27. | Use formal substitution to find the indefinite integral . | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | D | |
| 28. | Find the equation of the function f whose graph passes through the point and whose derivative is . | |
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| C) | ||
| D) | ||
| E) | ||
| Ans: | B | |
| 29. | The marginal cost of a product is modeled by , when x = 3, C = 90. Find the cost function. | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | C | |
| 30. | Find the supply function that satisfies and the initial condition x = 600 when . | |
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| Ans: | A | |
| 31. | Evaluate the integral | |
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| E) | ||
| Ans: | A | |
| 32. | Evaluate the integral | |
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| C) | ||
| D) | ||
| E) | ||
| Ans: | C | |
| 33. | Find the indefinite integral.
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| Ans: | D | |
| 34. | Evaluate the integral | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | C | |
| 35. | Use the Log Rule to find the indefinite integral for . | |
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| Ans: | C | |
| 36. | Find the indefinite integral.
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| E) | ||
| Ans: | C | |
| 37. | Find the indefinite integral. | |
| A) | ||
| B) | ||
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| D) | ||
| E) | ||
| Ans: | D | |
| 38. | Find the indefinite integral.
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| A) | ||
| B) | ||
| C) | ||
| D) | integral does not exist | |
| E) | none of the above | |
| Ans: | A | |
| 39. | Find the indefinite integral. | |
| A) | ||
| B) | ||
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| E) | ||
| Ans: | A | |
| 40. | Find the indefinite integral.
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| B) | ||
| C) | ||
| D) | ||
| E) | none of the above | |
| Ans: | D | |
| 41. | Use any basic integration formula or formulas to find the indefinite integral . | |
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| Ans: | E | |
| 42. | Find the equation of the function whose derivative is and whose graph passes through the point . | |
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| Ans: | C | |
| 43. | Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral.
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| A) | –318 | |
| B) | 636 | |
| C) | 336 | |
| D) | 168 | |
| E) | 12 | |
| Ans: | D | |
| 44. | Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral.
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| B) | ||
| C) | ||
| D) | ||
| E) | none of the above | |
| Ans: | D | |
| 45. | Use the valuesandto evaluate the definite integral. | |
| A) | 21 | |
| B) | –9 | |
| C) | 1 | |
| D) | 11 | |
| E) | –7 | |
| Ans: | B | |
| 46. | Determine the area of the given region.
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| C) | ||
| D) | ||
| E) | None of the above | |
| Ans: | B | |
| 47. | Evaluate the definite integral of the algebraic function.
Use a graphing utility to verify your results. |
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| A) | –6 | |
| B) | –6 | |
| C) | 13 | |
| D) | 18 | |
| E) | –3 | |
| Ans: | E | |
| 48. | Evaluate the definite integral . | |
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| Ans: | E | |
| 49. | Evaluate the definite integral of the algebraic function.
Use a graphing utility to verify your results. |
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| A) | –67.0832 | |
| B) | –115.0555 | |
| C) | 101.7168 | |
| D) | 17.3168 | |
| E) | –182.1386 | |
| Ans: | A | |
| 50. | Evaluate the following definite integral.
Use a graphing utility to check your answer. |
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| Ans: | B | |
| 51. | Find the area between the curve and the x-axis from . | |
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| Ans: | A | |
| 52. | Find the average value of the function over the given interval.
on [-3,3] |
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| A) | 15 | |
| B) | 52.5 | |
| C) | 90 | |
| D) | 10 | |
| E) | 50 | |
| Ans: | A | |
| 53. | Find the average value of the function over the given interval.
on [0,1] |
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| Ans: | C | |
| 54. | The rate of depreciation of a building is given by dollars per year,Use the definite integral to find the total depreciation over the first years. | |
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| E) | ||
| Ans: | A | |
| 55. | Determine the graph whose area (the shaded region) is represented by the integral. | |||
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| Ans: | C | |||
| 56. | Find the area of the shaded region.
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| Ans: | B | |
| 57. | Set up the definite integral that gives the area of the region bounded by the graphs.
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| Ans: | D | |||
| 58. | The integrand of the following definite integral is a difference of two functions.
Sketch the graph of the two functions and shade the region whose area is represented by the integral. |
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| Ans: | B | |||
| 59. | Find the area of the region bounded by the graphs of the algebraic functions.
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| Ans: | D | |
| 60. | Find the area of the region bounded by the graphs of the algebraic functions.
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| Ans: | A | |
| 61. | Find the consumer and producer surpluses by using the demand and supply functions, where p is the price (in dollars) and x is the number of units (in millions).
Demand Function Supply Function
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| A) | a. $2587.50
b. $3725.00 |
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| B) | a. $5587.50
b. $4725.00 |
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| C) | a. $2587.50
b. $1725.00 |
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| D) | a. $1587.50
b. $4725.00 |
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| E) | a. $3587.50
b. $4725.00 |
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| Ans: | C | |
| 62. | The demand function for a product is , where p is the number of dollars and x is the number of units. If the equilibrium price is , what is the consumer’s surplus? | |
| A) | $ | |
| B) | $ | |
| C) | $ | |
| D) | $ | |
| E) | $ | |
| Ans: | B | |
| 63. | Two models, and , are given for revenue (in billions of dollars per year) for a large corporation. Both models are estimates of revenues for 2007 through 2011, with t = 7 corresponding to 2007. Which model is projecting the greater revenue? How much more total revenue does that model project over the five-year period? | |
| A) | The model projects greater revenue than .
billion |
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| B) | The model projects greater revenue than .
billion |
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| C) | The model projects greater revenue than .
billion |
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| D) | The model projects greater revenue than .
billion |
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| E) | The model projects greater revenue than .
billion |
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| Ans: | C | |
| 64. | The revenue from a manufacturing process (in millions of dollars per year) is projected to follow the model for 10 years. Over the same period of time, the cost (in millions of dollars per year) is projected to follow the model , where t is the time (in years). Approximate the profit over the 10-year period, beginning with t = 0. Round your answer to two decimal places. | |
| A) | million | |
| B) | million | |
| C) | million | |
| D) | million | |
| E) | million | |
| Ans: | A | |
| 65. | Use the Midpoint Rule with n = 4 to approximate the area of the following region. | |
| A) | 3 | |
| B) | 8 | |
| C) | 2 | |
| D) | 1 | |
| E) | 6 | |
| Ans: | C | |
| 66. | Use the rectangles to approximate the area of the region. Compare your result with the exact area obtained with a definite integral. | |
| A) | a. The approximate area: 3
b. The exact area: 2 |
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| B) | a. The approximate area: 2
b. The exact area: 3 |
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| C) | a. The approximate area: 2
b. The exact area: 1 |
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| D) | a. The approximate area: 2
b. The exact area: 2 |
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| E) | a. The approximate area: 1
b. The exact area: 2 |
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| Ans: | D | |
| 67. | Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of and the x-axis over the interval []. | |
| A) | 13.5671 | |
| B) | 13.1273 | |
| C) | 13.3364 | |
| D) | 13.1250 | |
| E) | 14.1250 | |
| Ans: | D | |
| 68. | Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of and the x-axis over the interval [0,1]. | |
| A) | 3.7882 | |
| B) | 3.3484 | |
| C) | 3.5575 | |
| D) | 4.3461 | |
| E) | 3.3461 | |
| Ans: | E | |
| 69. | Use the Midpoint Rule with to approximate the area of the region bounded by the graph of and the -axis over the interval. Sketch the region. | |
| A) | The approximate area is: | |
| B) | The approximate area is: | |
| C) | The approximate area is: | |
| D) | The approximate area is: | |
| E) | The approximate area is: | |
| Ans: | C | |
| 70. | Use the Midpoint Rule n = 4 to approximate the area of the following region. | |
| A) | 2.5 | |
| B) | 1.2 | |
| C) | 1.5 | |
| D) | 1.9 | |
| E) | 2.3 | |
| Ans: | C | |
| 71. | Estimate the surface area of the pond shown in the figure using the Midpoint Rule. | |
| A) | ||
| B) | ||
| C) | ||
| D) | ||
| E) | ||
| Ans: | B | |
| 72. | Estimate the surface area of the oil spill shown in the figure using the Midpoint Rule. | |
| A) | 481.6 | |
| B) | 301.6 | |
| C) | 311.6 | |
| D) | 431.6 | |
| E) | 381.6 | |
| Ans: | E | |
| 73. | Use the Midpoint Rule with to approximate where . Then use a graphing utility to evaluate the definite integral. Compare your results. | |
| A) | a. Midpoint Rule:
b. Graphing utility: |
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| B) | a. Midpoint Rule:
b. Graphing utility: |
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| C) | a. Midpoint Rule:
b. Graphing utility: |
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| D) | a. Midpoint Rule:
b. Graphing utility: |
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| E) | a. Midpoint Rule:
b. Graphing utility: |
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| Ans: | D | |
| 74. | Estimate the surface area of the golf green shown in the figure using the midpoint rule. | |
| A) | 780 | |
| B) | 156 | |
| C) | 1404 | |
| D) | 1502 | |
| E) | 524 | |
| Ans: | A | |
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
