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. Newton's Law of Cooling says that the temperature of a hot object decreases at a rate proportional to the difference between its temperature and

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. Newton's Law of Cooling says that the temperature of a hot object decreases at a rate proportional to the difference between its temperature and that of its surroundings When a person dies, the body, which 1s at 98.6" F, cools to a temperature of 95 F alter 2 hours when the room temperature is 68 F. If a body was found in a 68" room at 4 pm and the temperature of the body (at 4pm) is 86 F, at what time did the person die? To completely answer this problem you should create a differential equation modeling the situation, solve the differential equation, then use your solution to the differential equation to find out what time the person died. Include a plot of the slope field, the solution curve, the equilibrium solution and whether or not it is stable. |8 pis]

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