Newton's law of cooling is = du dt – k(u – T), where u(t) is the temperature of an object, t is in hours, I 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 0.15 hr¯¹. Assume that the interior temperature is T; = 70°F, when the heating system fails. If the external temperature is T = 11°F, how long will it take for the interior temperature to fall to T₁ = 32°F? Round your answer to two decimal places. The interior temperature will fall to 32°F in i hours

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