3. Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. A cake is taken from an oven when its temperature has reached 150'C and is placed on a table in room where the lemperature is 25°c. (a) Express the information as a differential equation in which e is the temperature of the cake after time t and S is the temperature of its surroundings. (b) If the temperature of the cake is 100C after 10 minutes, what is its temperature after 20 minutes? (c) When will the cake have cooled to 40' C?

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