The average temperature T(x), in oF, in a small office building without air conditioning given by T(x) = 73 ¨C 14 cos (p (x ¨C 3.4))/12 where x is the time elapsed since midnight, 0 ¡Ü x ¡Ü 24. To cool the building, the air conditioning is turned on when the temperature first reaches the desired temperature T0 and left on until the office closes at 6:00 pm (when x = 18).
1. At what time, to the nearest half-hour, will the temperature first reach 70 degree?
2.At what time, to the nearest half-hour, will the temperature first reach 77 degree?
3.What is the cost per day of cooling the office fi the desired temperature is 70 degrree?
4.How much is saved per day if the desired temperature is raised to 77 degree.
30
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