Question: 07.08 Differential Equations Exam Part Two Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional

07.08 Differential Equations Exam Part Two

Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional to the difference of T and the temperature of its surrounding environment. A pot of chili with temperature 21C is placed into a -16C freezert After 2 hours, the temperature of the chili is 5C. Part A: Assuming the temperature T of the chili follows Newton's Law of Cooling, write a differential equation for T. (10 points) Part B: What is the temperature of the chili after 4 hours? (20 points) Part c: At what time, t, will the chili's temperature be -12C? (10 points)

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