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Let S(t) be the number of daylight hours on the tth day of the year in Miami. We are given the following data for

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Let S(t) be the number of daylight hours on the tth day of the year in Miami. We are given the following data for S(t): Day t S(t) January 25 25 11 March 30 89 12 May 26 146 13 July 8 189 14 We wish to fit a trigonometric function of the form 2T 2 f(t) = a+bsin +ccos 365 365 to these data. Find the best approximation of this form, using least squares. f(t)=

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