"Newton’s cooling law, states that an object cools or heats at a rate that is proportional to the difference between the temperature of the surroundings and the object’s temperature. At time t = 0, the temperature in a room is 0°C. The room is heated at a steady rate of 3°C per hour. Let T(t) be the temperature of an object in the room after t hours. (a) Briefly explain why T’(t) + kT(t) = 3kt (b) Assume that T(0) = 0. Find the temperature of the object T(t), expressed by k. This can be solved without having succeeded in (a), by using the information in (a)."

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