It is known that a certain object has constant of proportionality k = 1/40 in Newtons
Chapter 1, Problem 27(choose chapter or problem)
It is known that a certain object has constant of proportionality k = 1/40 in Newtons law of cooling. When the temperature of this object is 0F, it is placed in a medium whose temperature is changing in time according to Tm(t) = 80et/20. (a) Using Newtons law of cooling, show that the temperature of the object at time t is T (t) = 80(et/40 et/20). (b) What happens to the temperature of the object as t +? Is this reasonable? (c) Determine the time, tmax, when the temperature of the object is a maximum. Find T (tmax) and Tm(tmax). (d) Make a sketch to depict the behavior of T (t) and Tm(t).
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