Most often, we move items from one environment to another. A Ph.D rescarcher found that in doing so, dI -ACe, where t is the time in the new environment (in di its temperature T changes at a rate given by hours), C is the temperature difference (old - new) between the two environments, and k is a constant. If the temperature of the object (and the old environment) is 70°F and C=-10ʻF, what function describes the temperature T of the object 1 hours after it is moved?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 3
(a). Most often, we move items from one environment to another. A Ph.D researcher found that in doing so,
dT
-=kCe", where is the time in the new environment (in
di
its temperature T changes at a rate given by
hours), C is the temperature difference (old - new) between the two environments, and k is a constant. If
the temperature of the object (and the old environment) is 70°F and C=-10°F, what function
describes the temperature T of the object I hours after it is moved?
Transcribed Image Text:Question 3 (a). Most often, we move items from one environment to another. A Ph.D researcher found that in doing so, dT -=kCe", where is the time in the new environment (in di its temperature T changes at a rate given by hours), C is the temperature difference (old - new) between the two environments, and k is a constant. If the temperature of the object (and the old environment) is 70°F and C=-10°F, what function describes the temperature T of the object I hours after it is moved?
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