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A detective finds a murder victim at 9 am the temperature

Question: 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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Mathematics: A detective finds a murder victim at 9 am the temperature

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Mathematics: A detective finds a murder victim at 9 am the temperature

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