4. A cup of coffee has a temperature of 80°C when it is placed outside where the temperature is 20°C. Suppose the temperature of the coffee, T(t), changes according to Newton's Law of Cooling with proportionality constant k = 0.09. (a) Find and classify the equilibrium solution(s) using a phase line. (b) Find T(t). (c) Evaluate and interpret lim T(t).

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