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Newton's Law for conduction of heat says that dT = k(Te – T) for some constant k > 0. dt Suppose that when the external temperature (T.) is 9 degrees higher than the internal temperature (T), the internal temperature is changing at 1 degrees per second. Find the rate that the internal temperature is changing when the external temperature is 13 degrees higher than the internal temperature. Find the rate that the internal temperature is changing when the external temperature is 13 degrees lower than the internal temperature. Find the rate that the internal temperature is changing when the internal and external temperatures are equal.

Newton's Law for conduction of heat says that dT = k(Te – T) for some constant k > 0. dt Suppose that when the external temperature (T.) is 9 degrees higher than the internal temperature (T), the internal temperature is changing at 1 degrees per second. Find the rate that the internal temperature is changing when the external temperature is 13 degrees higher than the internal temperature. Find the rate that the internal temperature is changing when the external temperature is 13 degrees lower than the internal temperature. Find the rate that the internal temperature is changing when the internal and external temperatures are equal.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Newton's Law for conduction of heat says that dT = k(Te – T) for some constant k > 0. dt Suppose that when the external temperature (T.) is 9 degrees higher than the internal temperature (T), the internal temperature is changing at 1 degrees per second. Find the rate that the internal temperature is changing when the external temperature is 13 degrees higher than the internal temperature. Find the rate that the internal temperature is changing when the external temperature is 13 degrees lower than the internal temperature. Find the rate that the internal temperature is changing when the internal and external temperatures are equal.
Transcribed Image Text:Newton's Law for conduction of heat says that dT = k(Te – T) for some constant k > 0. dt Suppose that when the external temperature (T.) is 9 degrees higher than the internal temperature (T), the internal temperature is changing at 1 degrees per second. Find the rate that the internal temperature is changing when the external temperature is 13 degrees higher than the internal temperature. Find the rate that the internal temperature is changing when the external temperature is 13 degrees lower than the internal temperature. Find the rate that the internal temperature is changing when the internal and external temperatures are equal.
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