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Newton's law of cooling states that the temperature of an object changes at a rate proportional...

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the different between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 200 degrees F when freshly poured, and 1 min later has cooled to 190 degrees F in a room at 70 degrees F, determine when the coffee reaches a temperature of 150 degrees F.

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