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Unformatted text preview: Find its radius of convergence. 6. Solve the differential equation Solve the initial-value problem . 7. Consider the integral . Does this integral converge? If so, explain why and estimate the value to within 0.001. Find an interval centered about the origin within which can be approximated by with four decimal places of accuracy. Use a Taylor polynomial to approximate with an error of less than . Remember to explain why your approximation is within the specified error bound. 8. A detective finds a murder victim at 9am. The temperature of the body measured 90.3 . One hour later, the temperature of the body is 89.0 . The air-conditioned room has been maintained at a constant temperature of 68.0 a. Assuming the temperature, T, of the body obeys Newtons Law of Cooling, write a differential equation for T. b. Solve the differential equation found in (a) for T. c. Estimate the time the murder occurred, assuming the body was at 98.6 when the murder happened....
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