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differential equation 12. Newton's law of cooling states that the temperature of an object changes at...

differential equation

12. Newton's law of cooling states that the temperature of an object changes at a rate pro-portional to the difference 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 200F when freshly poured, and 1 min later has cooled to 190F in a room at 70F, determine when the coffee reaches a temperature of 150F.

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