Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T1t2 after time t, in minutes, where
T(t) = T0 + (T1 - T0)e-kt.
a. A cup of coffee with temperature 105°F is placed in a freezer with temperature 0F. After 5 min, the temperature of the coffee is 70F. What will its temperature be after 10 min?
b. A dish of lasagna baked at 375F is taken out of the oven at 11:15 A.M. into a kitchen that is 72F. After 3 min, the temperature of the lasagna is 365F. What will the temperature of the lasagna be at 11:30 A.M.?