An orange is taken from a refrigerator placed on a table in the kitchen. 7 minutes later the temperature of the orange is 50 degrees F. 7 minutes after that the temperature of the orange is 60 degrees F. And finally after 7 more minutes the temperature of the orange is 68.5 degrees F. A) SET UP BUT DO NOT SOLVE the differential equation(s) and condition(s) to determine the temperature, T(t) of the orange at any time t. B) The solution to your differential equation is T(t)=A-(288/7)e^((1/7)ln(7/12))t, where A is a constant, Find A. C) What is the temperature in the kitchen? D) What is the temperature in the refrigerator?
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