The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by Σ n=1 ao FS(t) + 2 = ao = 0.25 an = bn = an Cos In this particular case the Fourier series coeffcients are given by 2(-1)" Nπ not 4 6(1-2(-1)") n²π² + bn sin not 4 Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS3 (2) correct to 3 decimal places. Enter the values in the boxes below. Enter a correct to 4 decimal places:
The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by Σ n=1 ao FS(t) + 2 = ao = 0.25 an = bn = an Cos In this particular case the Fourier series coeffcients are given by 2(-1)" Nπ not 4 6(1-2(-1)") n²π² + bn sin not 4 Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS3 (2) correct to 3 decimal places. Enter the values in the boxes below. Enter a correct to 4 decimal places:
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:Question 3.
The Fourier series representation, FS(t), of a function f(t),
where f(t + 8) = f(t) is given by
rs(t) = a + Σα
ao = 0.25
an
bn
∞
In this particular case the Fourier series coeffcients are given by
-
2(−1)n
Nπ
n=1
an cos
nπt
(not). +b, sin (nt).
4
6(1 – 2(−1)")
n²π²
Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3(2) correct to 3
decimal places.
Enter the values in the boxes below.
Enter a correct to 4 decimal places:
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