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) - tt)], where k is a constant. let k = 0.03 (min) - 1 and the temperature of the medium be constant, m(t) = 292 kelvins. if the body is initially at 362 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. (a) the temperature of the body after 30 minutes is (round to two decimal places as needed.) kelvins. enter your answer in the answer box and then click check answer.