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

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Advance Math

differential equation

12. Newton's law of cooling states that the temperature of anobject changes at a rate pro-portional to the difference betweenits temperature and that of its surroundings. Suppose that thetemperature of a cup of coffee obeys Newton's law of cooling. Ifthe coffee has a temperature of 200F when freshly poured, and 1 minlater has cooled to 190F in a room at 70F, determine when thecoffee reaches a temperature of 150F.

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