Newton’s Law of Cooling. Newton’s law of cooling states that the rate of change in t...

Newton’s Law of Cooling. Newton’s law of cooling states that the rate of change in the temperature T (t) of a body is proportional to the difference between the temperature of the medium M (t) and the temperature of the body. That is,

where K is a constant. Let K = 1 (min)^-1 and the temperature of the medium be constant, M (t) = 70º. If

the body is initially at 100º, use Euler’s method with

h = 0.1 to approximate the temperature of the body after

(a) 1 minute.

(b) 2 minutes.