Let S(t) be the number of daylight hours on the th day of the year in Los Angleles. We are given the following data for S(t): Day January 16 March 16 t S(t) 16 10 75 12 | May 3 123 13 July 7 188 14 We wish to fit a trigonometric function of the form 27 -t) +c cos ( 365 f(t) = a + bsin ( t) 365
Let S(t) be the number of daylight hours on the th day of the year in Los Angleles. We are given the following data for S(t): Day January 16 March 16 t S(t) 16 10 75 12 | May 3 123 13 July 7 188 14 We wish to fit a trigonometric function of the form 27 -t) +c cos ( 365 f(t) = a + bsin ( t) 365
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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Transcribed Image Text:Let S(t) be the number of daylight hours on the th day of the year in Los Angleles. We are given the following data for S(t):
|Day
January 16
t.
S(t)
16
10
March 16
75
12
May 3
123
13
July 7
188
14
We wish to fit a trigonometric function of the form
f(t) = a + bsin (
-t) +c cos (
365
t)
365
to these data. Find the best approximation of this form, using least squares.
f(t) =
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