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6. (5 pts) The temperature of a cup of coffee obeys Newton's law of cooling. The initial temperature of the coffee is 212 F and

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6. (5 pts) The temperature of a cup of coffee obeys Newton's law of cooling. The initial temperature of the coffee is 212 F and one minute later, it is 190 F. The ambient temperature of the room is 62F. (a) If T(t) represents the temperature of the coffee at time t, write the initial value problem that represents this scenario. (b) Solve this IVP and find the predicted temperature of the coffee after 14 minutes

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