Find the functiont(t) by solving this ivp

Reference no: EM13562710

A cup of milk is chilled in the refrigerator to a temperature of 40?F. Then it is taken out into a room at 72?F. (a) By Newton’s Law of Cooling, which can also be used to describe warming, the temperature T(t) of the milk at time t (measured in minutes)satisfies the initial value problem T?(t) =k(T(t)?72), T(0) = 40.Find the functionT(t) by solving this IVP. Use either the method of solving separable or of solving linear DEs. Include k in your calculations as an initially unknown parameter. (b) After 10 minutes the temperature of the milk has risen to 50?F. Use this information to find k as a decimal number. (c) How many minutes does it take for the temperature of the milk to rise to 60? F?

Reference no: EM13562710

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