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 5 degrees higher than the internal temperature (T), the internal temperature is changing at 2.4 degrees per second. Find the rate that the internal temperature is changing when the external temperature is 6 degrees higher than the internal temperature. Find the rate that the internal temperature is changing when the external temperature is 6 degrees lower than the internal temperature. Find the rate that the internal temperature is changing when the internal and external temperatures are equal.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Differential equations 

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 5 degrees higher than the internal temperature (T),
the internal temperature is changing at 2.4 degrees per second. Find the rate that the internal
temperature is changing when the external temperature is 6 degrees higher than the internal temperature.
Find the rate that the internal temperature is changing when the external temperature is 6 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 5 degrees higher than the internal temperature (T), the internal temperature is changing at 2.4 degrees per second. Find the rate that the internal temperature is changing when the external temperature is 6 degrees higher than the internal temperature. Find the rate that the internal temperature is changing when the external temperature is 6 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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