Question

15. 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,
dT/dt = K[M(t) - T(t)] ,
where K is a constant. Let K = 0.04 (min)-1 and the temperature
of the medium be constant, M(t) = 293 kelvins.
If the body is initially at 360 kelvins, use Euler’s method
with h = 3.0 min to approximate the temperature of the
body after
(a) 30 minutes.
(b) 60 minutes.

Answer 1