5. The temperature inside of a storage F(t) = =-8 cos (t) + 63, where t is the number of hours since midnight. (a) At what temperature is the building at midnight? Explain how you arrived at you F(+) = -8 cos ( = 1/2(0)) +63 F(+)=55] + S m b) How many hours after midnight does it take for the temperature to first reach its 71 2T EP = =20. 5 loha c) Sketch a picture of two full cycles modeling the temperature inside the stor include values on the axis, and label one maximum and one minimum point. 71 temperature 55