Newton's Law of Cooling tells us that the rate of change of the
temperature of an object is proportional to the temperature
difference between the object and its surroundings. This can be
modeled by the differential equation d T d t = k ( T − A ) , where
T is the temperature of the object after t units of time have
passed, A is the ambient temperature of the object's surroundings,
and k is a constant of proportionality....