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): t S(t) Day January 5 5 10 March 22 81 12 123 14 195 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 2π 365 (t) + s (365) + c cos
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): t S(t) Day January 5 5 10 March 22 81 12 123 14 195 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 2π 365 (t) + s (365) + c cos
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 New York. We are given the following data for S(t):
t
S(t)
Day
January 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
2πT
365
5
81
123
195
(t) +
s (365)
+ c cos](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7810ab07-6748-4d32-b0d1-a5d0d459c5f8%2Fcf8e96f7-a3c4-4065-88ef-bd89d0b8abd2%2F27xarqh_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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):
t
S(t)
Day
January 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
2πT
365
5
81
123
195
(t) +
s (365)
+ c cos
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