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____ 6. Use the Integral Test to determine the convergence or divergence of the series. a. diverges b. Integral Test inconclusive c. converges ____ 7. Use the Integral Test to determine the convergence or divergence of the series. a. diverges b. converges c. Integral Test inconclusive ____ 8. True or false: The series converges. a. true b. false ____ 9..
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____ 11. Use the Limit Comparison Test (if possible) to determine whether the series converges or diverges. a. diverges b. converges ____ 12. Use the Limit Comparison Test (if possible) to determine whether the series converges or diverges. a. converges b. diverges ____ 13. Use the Limit Comparison Test to determine the convergence or divergence.
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8.2 Integration by Parts Multiple Choice 1. Find the indefinite integral. a. b. c. d. e. 2. Find the indefinite integral. a. b. c. d. e. 3. Find the indefinite integral. a. b. c. d. e. 4. Find the indefinite integral. a. b. c. d. e. 5. Find the indefinite integral. a. b. c. d. e.     .
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8.3 Trigonometric Integrals Multiple Choice 1. Find the indefinite integral. a. b. c. d. e. 2. Find the indefinite integral. a. b. c. d. e. 3. Find the indefinite integral. a. b. c. d. e. 4. Find the indefinite integral. a. b. c. d. e. 5. Find the indefinite integral. a. b. c. d. e.     .
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8.7 Indeterminate Forms and L’Hôpital’s Rule Multiple Choice 1. Evaluate the limit first by using techniques from Chapter 1 then by using L'Hopital's Rule. a. 9/20 b. – 9/100 c. - 9/20 d. 0 e. does not exist 2. Evaluate the limit first by using techniques from Chapter 1 then by using L'Hopital's Rule. a. 8 b. 0 c..
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____ 16. Determine the convergence or divergence of the series using any appropriate test. a. converges b. diverges ____ 17. Identify the most appropriate test to be used to determine whether the series converges or diverges. a. Limit Comparison Test with b. Ratio Test c. Direct Comparison Test with d. Root Test e. Alternating.
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9.6 The Ratio and Root Test Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Use the Ratio Test to determine the convergence or divergence of the series . a. converges b. diverges ____ 2. Use the Ratio Test to determine the convergence or divergence of the series. a. diverges b..
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9.7 Taylor Polynomials and Approximations Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find a first-degree polynomial function P1 whose value and slope agree with the value and slope of . a. b. c. d. e. ____ 2. Use a graphing utility to graph and.
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____ 6. Determine whether the series converges absolutely, converges conditionally, or diverges. a. converges conditionally b. diverges c. converges absolutely ____ 7. Determine whether the series converges conditionally or absolutely, or diverges. a. The series converges absolutely. b. The series diverges. c. The series converges absolutely but does not converge conditionally. d. The series converges conditionally.
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9.4 Comparisons of Series Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Use the Direct Comparison Test (if possible) to determine whether the series converges or diverges. a. converges b. diverges ____ 2. Use the Direct Comparison Test to determine the convergence or divergence of the series.
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9.9 Representation of Functions by Power Series Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find a geometric power series for the function centered at 0. a. b. c. d. e. ____ 2. Find a geometric power series for the function centered at 0. a..
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9.5 Alternating Series Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. True or false: The series converges. a. true b. false ____ 2. True or false: The series diverges. a. true b. false ____ 3. True or false: The series converges. a. false b. true ____ 4. True.
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____ 11. Determine the convergence or divergence of the series using any appropriate test. a. converges b. diverges ____ 12. Identify the most appropriate test to be used to determine whether the series converges or diverges. a. Ratio Test b. ?-Series Test c. Alternating Series Test d. Telescoping Series Test e. Root Test ____ 13. Determine the.
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8.8 Improper Integrals Multiple Choice 1. Determine whether the improper integral diverges or converges. Evaluate the integral if it converges. a. 100 b. 2 c. 1/50 d. 22/9 e. diverges 2. Determine whether the improper integral diverges or converges. Evaluate the integral if it converges. a. 1/2 b. 1/6 c. 2 d. 1/32 e. diverges 3. Determine whether the improper integral diverges.
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11. Evaluate the limit using L'Hopital's Rule if necessary. a. -? b. ? c. 2/7 d. 0 e. 7/2 12. Evaluate the limit using L'Hopital's Rule if necessary. a. 1/3 b. 1/24 c. -? d. ? e. 2 13. Evaluate the limit using L'Hopital's Rule if necessary. a. 8/7 b. 56 c. ? d. 0 e. does not exist 14. Evaluate the limit using.
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6. Determine whether the improper integral diverges or converges. Evaluate the integral if it converges. a. diverges b. converges 7. Determine whether the improper integral diverges or converges. a. diverges b. converges 8. Determine whether the improper integral diverges or converges. Evaluate the integral if it converges. a. 3 b. 2/3 c. 3/2 d. 2 e. diverges 9. Determine whether the.
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6. Evaluate the limit using L'Hopital's Rule if necessary. a. 2/13 b. 0 c. 1/2 d. 13/2 e. does not exist 7. Evaluate the using L’Hôpital’s Rule if necessary. a. 1/2 b. - 8/9 c. 5/9 d. 0 e. ? 8. Evaluate the using L’Hôpital’s Rule if necessary. a. 1/6 b. 1/4 c. 1/2 d. ? e. 0 9. Evaluate the limit using L'Hopital's.
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9.8 Power Series Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. State where the power series is centered. a. 0 b. –3 c. 2 d. 3 e. –2 ____ 2. Find the radius of convergence of the power series. a. 1/25 b. 1/5 c.5 d. ? e. 25 ____ 3. Find the radius of.
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  ____ 11. Use Theorem 9.11 to determine the convergence or divergence of the series. a. diverges b. converges c. Theorem 9.11 inconclusive ____ 12. Use Theorem 9.11 to determine the convergence or divergence of the series. a. converges b. diverges c. Theorem 9.11 inconclusive ____ 13. Sketch the graph of the sequence of partial sum of the series.
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9.3 The Integral Test and p-Series Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Use the Integral Test to determine the convergence or divergence of the series. a. diverges b. Integral Test inconclusive c. converges ____ 2. Use the Integral Test to determine the convergence or divergence.
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9.10 Taylor and Maclaurin Series Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Use the definition to find the Taylor series (centered at c) for the function. a. b. c. d. e. ____ 2. Use the definition to find the Taylor series centered at for.
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