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 21°C is placed into a -16°C freezer. After 2 hours, the temperature of the chili is 5°C. Part A: Assuming the temperature 7 of the chili follows Newton's Law of Cooling, write a differential equation for T Part B: What is the temperature of the chili after 4 hours? Part C: At what time, t, will the chili's temperature be -12°C?
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 21°C is placed into a -16°C freezer. After 2 hours, the temperature of the chili is 5°C. Part A: Assuming the temperature 7 of the chili follows Newton's Law of Cooling, write a differential equation for T Part B: What is the temperature of the chili after 4 hours? Part C: At what time, t, will the chili's temperature be -12°C?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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