1 During the winter, a smart thermostat is set to adjust the temperature on a 24-hour cycle. It is programmed to reach a maximum of 71 F at 8PM, and a minimum of 65.F at 8AM. Let T(t) be the thermostat setting t hours after midnight. (a) Find a possible formula for T(t). (b) At what times throughout the day is the thermostat set to 69F