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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): 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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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): t S(t) 27 11 83 12 130 13 190 14 We wish to fit a trigonometric function of the form Day January 27 March 24 to these data. Find the best approximation of this form, using least squares. f(t) = May 10 July 9 f(t) = a + b sin 2π (²) 365 $ (3 15²) 365 + c cos
Transcribed Image Text: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 Day January 27 March 24 to these data. Find the best approximation of this form, using least squares. f(t) = May 10 July 9 f(t) = a + b sin 2π (²) 365 $ (3 15²) 365 + c cos
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