According to Newton’s law of cooling (see Section 1.1), the temperature of an object at...

According to Newton’s law of cooling (see Section 1.1), the temperature of an object at time t is governed by the differential equation

where T_m is the temperature of the surrounding medium, and k is a constant. Consider the case when T_m = 70 and k = 1/80. Sketch the corresponding slope field and some representative solution curves. What happens to the temperature of the object as t → ∞? Note that this result is independent of the initial temperature of the object.