Problem

The temperature of an object at time t is governed by the linear differential equation...

The temperature of an object at time t is governed by the linear differential equation

At t = 0, the temperature of the object is 00F and is, at that time, increasing at a rate of 50F/min.

(a) Determine the value of the constant k.

(b) Determine the temperature of the object at time t .

(c) Describe the behavior of the temperature of the object for large values of t .

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