thank you! a cup of coffee at a temperture of 190 degree F i. s brought into a r
ID: 2986803 • Letter: T
Question
thank you!
a cup of coffee at a temperture of 190 degree F i. s brought into a room. The temperature of the room is 70 degree F. after 10min the temperature of the coffee is 170 degree F. Recall that the differential equation for newton's law of cooling is dT / dt = k(T - TM). Start by writing down the solution of this equation (you don't need to show the details of solving the equation). Find the value of k for this problem. (live an exact answer, not an approximation. Find the temperature of the coffee after 20 minutes. Give an exact answer and an approximation to two decimal places. at what time will the temperature of the coffee be 71 degrees? (live an exact answer and an approximation to two decimal places.Explanation / Answer
the solution of newton law of cooling =T=Tm+(To-Tm)*e^-kt
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