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): t S(t) 27 11 83 12 130 13 190 14 We wish to fit a trigonometric function of the form to these data. Find the best approximation of this form, using least squares. f(t) = Day January 27 March 24 May 10 July 9 f(t) = a + b sin 2π (365) +ccos (t) 2π 365

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