Hi everyone,

Could you please tell me if this is correct?

If a cup of coffe has temperature 95 C in a room where the temperature is 20 C, then according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t)=20+75e^-t/50. What is the average temperature of cofee during the first half hour?

u=-t/50

du=-1/50dt

-50du=-1/50dt

int. 20+75e^-t/50 from 0 to 30

20t-3750e^u from 0 to 30

-1458.044

Thank you very much