Newton's Law of Cooling.) Let T(t) be the temperature of an object in a room of fixed ambient Cemperature A. The rate of change of temperature is proportional to the difference between T and A, .e., T satisfies dT dt 1 = -k(T - A). (a) Find a general solution for T(t). (b) An iced tea at 5°C is placed in a cabana where the temperature is 35°C. After ten minutes the iced tea is at 10°C. What is the temperature of the drink after 40 minutes? (c) What happens as to in this model?

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