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A detective finds a murder victim at 9 am. The temperature of the body is measured at One hour later, the temperature of the body is The temperature of the room has been maintained at a constant (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.
Temperature of the room is F. Let be the temperature of the body.
where is a positive constant.
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