Question

A tray of lasagna comes out of the oven at 200°F and is placed on a table where the surrounding room temperature is 70°F. The temperature T (in °F) of the lasagna is given by the function T(t) = e^(4.86753 - t) + 70, 0 is less than or equal to t, where t is time (in hours)after taking the lasagna out of the oven. What is the rate of change in the temperature of the lasagna exactly 2 hours after taking it out of the oven?

Answer 1

dT/dt = -130 e^-t
so plug in t = 2

Answer 2

-17.59