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Let S(t) be the number of daylight hours on the tth day of the year in Los Angleles. We are given the following data for S(t): Day January 23 March 31 We wish to fit a trigonometric function of the form 2п f(t) May 10 July 3 = t). t + c cos to these data. Find the best approximation of this form, using least squares. f(t) = a + b sin t 23 90 130 184 365 S(t) 10 12 13 14 2π 365 t

Let S(t) be the number of daylight hours on the tth day of the year in Los Angleles. We are given the following data for S(t): Day January 23 March 31 We wish to fit a trigonometric function of the form 2п f(t) May 10 July 3 = t). t + c cos to these data. Find the best approximation of this form, using least squares. f(t) = a + b sin t 23 90 130 184 365 S(t) 10 12 13 14 2π 365 t

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 Los Angleles. We are given the following data for S(t): Day January 23 March 31 f(t) = May 10 July 3 We wish to fit a trigonometric function of the form 2π 365 to these data. Find the best approximation of this form, using least squares. t S(t) 23 10 90 12 130 13 184 14 f(t) = a + b sin t + c cos 2π t 365
Transcribed Image Text:Let S(t) be the number of daylight hours on the tth day of the year in Los Angleles. We are given the following data for S(t): Day January 23 March 31 f(t) = May 10 July 3 We wish to fit a trigonometric function of the form 2π 365 to these data. Find the best approximation of this form, using least squares. t S(t) 23 10 90 12 130 13 184 14 f(t) = a + b sin t + c cos 2π t 365
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