Newton's law of cooling ralph wakes up at 3am because his baby son is crying. his spouse puts a bottle of milk in the microwave and goes back to sleep, telling ralph it is his turn to feed their son. ralph takes the bottle out of the microwave and fortunately checks the temperature of it before burning his son's mouth! it is 150°f shaking the bottle periodically to keep the temperature uniform, he waits 2 minutes and checks again: 143°f. the temperature of the room is 70°f he figures he can start feeding his son when the temperature is at 100° f. assume newton's law of cooling applies dt dt k(a t)