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To show that To show that converges, we should use: A) the Comparison Test and . B) the Comparison Test and . C) evaluation of the integral. D) No method can be used since the function is not non-negative. E) none of the above. converges, we should use:


A) the Comparison Test and To show that converges, we should use: A) the Comparison Test and . B) the Comparison Test and . C) evaluation of the integral. D) No method can be used since the function is not non-negative. E) none of the above. .
B) the Comparison Test and To show that converges, we should use: A) the Comparison Test and . B) the Comparison Test and . C) evaluation of the integral. D) No method can be used since the function is not non-negative. E) none of the above. .
C) evaluation of the integral.
D) No method can be used since the function To show that converges, we should use: A) the Comparison Test and . B) the Comparison Test and . C) evaluation of the integral. D) No method can be used since the function is not non-negative. E) none of the above. is not non-negative.
E) none of the above.

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Use the error bound to find a value of Use the error bound to find a value of for which in approximating the integral . for which Use the error bound to find a value of for which in approximating the integral . in approximating the integral Use the error bound to find a value of for which in approximating the integral . .

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Evaluate Evaluate . .

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Approximate the volume of the solid obtained by rotating the graph of Approximate the volume of the solid obtained by rotating the graph of from about the line by using . from Approximate the volume of the solid obtained by rotating the graph of from about the line by using . about the line Approximate the volume of the solid obtained by rotating the graph of from about the line by using . by using Approximate the volume of the solid obtained by rotating the graph of from about the line by using . .

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Evaluate the integral Evaluate the integral

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Calculate the following integrals using the reduction formulas when necessary. A) Calculate the following integrals using the reduction formulas when necessary. A) B) B) Calculate the following integrals using the reduction formulas when necessary. A) B)

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Verify that Verify that has a removable discontinuity at , define so that is continuous at 0, and estimate by . has a removable discontinuity at Verify that has a removable discontinuity at , define so that is continuous at 0, and estimate by . , define Verify that has a removable discontinuity at , define so that is continuous at 0, and estimate by . so that Verify that has a removable discontinuity at , define so that is continuous at 0, and estimate by . is continuous at 0, and estimate Verify that has a removable discontinuity at , define so that is continuous at 0, and estimate by . by Verify that has a removable discontinuity at , define so that is continuous at 0, and estimate by . .

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Verify that Verify that has a removable discontinuity at , define so that is continuous at and estimate by . has a removable discontinuity at Verify that has a removable discontinuity at , define so that is continuous at and estimate by . , define Verify that has a removable discontinuity at , define so that is continuous at and estimate by . so that Verify that has a removable discontinuity at , define so that is continuous at and estimate by . is continuous at Verify that has a removable discontinuity at , define so that is continuous at and estimate by . and estimate Verify that has a removable discontinuity at , define so that is continuous at and estimate by . by Verify that has a removable discontinuity at , define so that is continuous at and estimate by . .

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Verify that Verify that is a probability density function on and calculate its mean value. is a probability density function on Verify that is a probability density function on and calculate its mean value. and calculate its mean value.

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Evaluate the integral Evaluate the integral . .

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To evaluate the integral To evaluate the integral by Integration by Parts, the convenient choice is A) B) C) D) E) by Integration by Parts, the convenient choice is


A) To evaluate the integral by Integration by Parts, the convenient choice is A) B) C) D) E)
B) To evaluate the integral by Integration by Parts, the convenient choice is A) B) C) D) E)
C) To evaluate the integral by Integration by Parts, the convenient choice is A) B) C) D) E)
D) To evaluate the integral by Integration by Parts, the convenient choice is A) B) C) D) E)
E) To evaluate the integral by Integration by Parts, the convenient choice is A) B) C) D) E)

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Calculate the integral Calculate the integral . .

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Calculate the following integral in terms of inverse hyperbolic functions. Calculate the following integral in terms of inverse hyperbolic functions.

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Evaluate the integral Evaluate the integral . .

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Evaluate the integral Evaluate the integral . .

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To evaluate the integral To evaluate the integral using integration by parts, the convenient choice is : A) . B) . C) . D) . E) . using integration by parts, the convenient choice is :


A) To evaluate the integral using integration by parts, the convenient choice is : A) . B) . C) . D) . E) . .
B) To evaluate the integral using integration by parts, the convenient choice is : A) . B) . C) . D) . E) . .
C) To evaluate the integral using integration by parts, the convenient choice is : A) . B) . C) . D) . E) . .
D) To evaluate the integral using integration by parts, the convenient choice is : A) . B) . C) . D) . E) . .
E) To evaluate the integral using integration by parts, the convenient choice is : A) . B) . C) . D) . E) . .

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Evaluate Evaluate . .

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Evaluate the integral Evaluate the integral . .

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Evaluate the integral Evaluate the integral . .

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Find a constant Find a constant such that is a probability density on the interval and compute the probability . such that Find a constant such that is a probability density on the interval and compute the probability . is a probability density on the interval Find a constant such that is a probability density on the interval and compute the probability . and compute the probability Find a constant such that is a probability density on the interval and compute the probability . .

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