# Newton's law of cooling states that the rate of change in the temperature T(t) of a...

###### Question:

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, * = K[M(t) - T(t)], where K is a constant. Let K = 0.05 (min) and the temperature of the medium be constant, M(t) = 295 kelvins. If the body is initially at 354 kelvins, use Euler's method with h = 0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.

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