A detective finds a murder victim at 9 am. The temperature of the body is measured at

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A detective finds a murder victim at 9 am. The temperature of the body is measured at 90.3◦F. One hour later, the temperature of the body is 89.0◦F. The temperature of the room has been maintained at a constant 68◦F.
(a) Assuming the temperature, T , of the body obeys Newton’s Law of Cooling, write a differential equation for T.
(b) Solve the differential equation to estimate the time the murder occurred.

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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Question Posted: Apr 10, 2023 04:14 AM

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A detective finds a murder victim at 9 am. The temperature of the body is measured at

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a dTdt kT A where A 68F is the temperature of the room and t is time since 9 am b We k...View the full answer

Applied Calculus

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