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Newton's Law of Cooling States That the Rate at Which ^\circ

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Newton's Law of Cooling states that the rate at which a body changes temperature is proportional to the difference between its temperature and the temperature of the surrounding medium. Suppose that a body has an initial temperature of 250 ^\circ F and that after one hour the temperature is 200 ^\circ F. Assuming that the surrounding air is kept at a constant temperature of 72 ^\circ F, determine the temperature of the body at time tt .


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