Newton's Law of Cooling states that the temperature of an object changes at a rate proportional to the difference between the temperature of the object itself and the temperature of its surroundings (typically the ambient temperature) . Suppose the ambient temperature is 72°F and the rate constant is 0.1 per minute.Suppose the temperature of the object is initially 107°F. What is the solution to the initial-value problem comprised of the differential equation for the temperature of the object, T(t) , at any time t and the initial condition T(0) = 107?
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Correct Answer:
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