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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

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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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