Question: 5. A thermometer initially reading TaF is planed in an oven preheated to a oonstant temperature. Through a. glass 1 window in the oven door?

5. A thermometer initially reading TaF is planed in an oven preheated to a oonstant temperature. Through a. glass 1 window in the oven door? an observer records that the thermometer reads 12"F after E minute and 15WF alter 1 minute. Assume that Newton's Law of Coolinngarming applies: The rate of cooling} warming is proportional to the diemnm between the current temperature and the ambient temperature. (a) Write an initialvalue problem that models the temperature of the thermometer. Let T represent the current temperature of the thermometer at time, t, in minutes. (h) Find an explicit solution to the initialvalue problem from part {a}. (o) How hot is the oven? {What is the ambient temperature for this problem?)

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