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Differential Equationseasy
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If a cooling object has temperature T(t)T(t)T(t) and ambient temperature TmT_mTm​, Newton's Law of Cooling is dTdt=−k(T−Tm)\frac{dT}{dt} = -k(T - T_m)dtdT​=−k(T−Tm​). If T(0)=100T(0) = 100T(0)=100 and Tm=20T_m = 20Tm​=20, what is the initial rate of change?