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(a). Most often, we move items from one environment to another. A Ph.D researcher found that in doing so, dl - kCe", where t is the time in the new environment (in dt 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 t hours after it is moved?

(a). Most often, we move items from one environment to another. A Ph.D researcher found that in doing so, dl - kCe", where t is the time in the new environment (in dt 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 t hours after it is moved?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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What function describes the temperature T of the object hours after it is moved?
Question 3 (a). Most often, we move items from one environment to another. A Ph.D rescarcher found that in doing so, its temperature T changes at a rate given by = kCe", where t is the time in the new environment (in dt 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 t hours after it is moved? (b). Find the area of the region enclosed by the graphs of f (x)=x'-x² and g(x)= 2x. (c). Find the area of the region enclosed by the graphs of y = \x+3,x=-3 and y = 2.
Transcribed Image Text:Question 3 (a). Most often, we move items from one environment to another. A Ph.D rescarcher found that in doing so, its temperature T changes at a rate given by = kCe", where t is the time in the new environment (in dt 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 t hours after it is moved? (b). Find the area of the region enclosed by the graphs of f (x)=x'-x² and g(x)= 2x. (c). Find the area of the region enclosed by the graphs of y = \x+3,x=-3 and y = 2.
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