Let S (t) be the number of daylight hours on the tth day of the year in New York. We are given the following data for S(t): Day t S(t) January 5 5 10 March 22 12 14 15 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) = May 3 July 14 f(t)= a + b sin( 81 123 195 2π 365 +c cos 2π 365

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