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math question.200points

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math question.200points
Let T denote the temperature at time t.If the temperature is decreasing,is the rate of coling .The great temperature variation during a twelve-hour period occurred in Montana in 1916.When the temperature dropped from 44 to chilling-56.show that the rate of cooling exceeded -8f/h at some time during the period of change.
(the least rate of cooling -8f/h) times T (temperature which is 44) is equal to new T (temperature at -56),get 12.5 hours.
但是题目里说的是 12 hours period,那么带入原方程式,因为下降rate至少是 -8f/h,所以求出新 的 cooling rate is -8.3333f/h
Hope it helps!