One fine day in Rochester the low temperature occurs at 5 a. and the high temperature at 5 p. The temperature varies sinusoidally all day.

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One fine day in Rochester the low temperature occurs at 5 a.m. and the high temperature at 5 p.m. The temperature varies sinusoidally all day.The temperature hours after midnight is T(t)=A+Bsin((pi(t-C))/12)where A, B, and C are certain constants.The low temperature is 26 and the high temperature is 44.Find the average temperature during the first 7 hours after noon.Hint: The high and low temperatures can be used together to find A and B. Determine C from the fact that it is hottest at 5 p.m.

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