du Newton's law of cooling is- dt - k(u – T), where u(t) is the temperature of an object, r is in hours, T is a constant ambient temperature, and k is a positive constant. Suppose a building loses heat in accordance with Newton's law of cooling. Suppose that the rate constant k has the value 0.13 hr=1. Assume that the interior temperature is T; = 77°F, when the heating system fails. If the external temperature is T = 7°F, how long will it take for the interior temperature to fall to T = 32'F?

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