The Fourier series representation, FS(t), of a function f(t), where f(t + 4) = f(t) is given by FS (t): In this particular case the Fourier series coeffcients are given by ao = 0.25 an = = bn = ao nπt nπt - + [a, cos (17) + b, sin (nat) an 2 2 2 n=1 3(-1) n nn 2(1-2(-1)") n²π² Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entere values, compute FS3(0) correct to 3 decimal places. Enter the values in the boxes below. Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter b₁ correct to 4 decimal places: Enter b₂ correct to 4 decimal places: Enter b3 correct to 4 decimal places: Enter FS3(0) correct to 3 decimal places:
The Fourier series representation, FS(t), of a function f(t), where f(t + 4) = f(t) is given by FS (t): In this particular case the Fourier series coeffcients are given by ao = 0.25 an = = bn = ao nπt nπt - + [a, cos (17) + b, sin (nat) an 2 2 2 n=1 3(-1) n nn 2(1-2(-1)") n²π² Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entere values, compute FS3(0) correct to 3 decimal places. Enter the values in the boxes below. Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter b₁ correct to 4 decimal places: Enter b₂ correct to 4 decimal places: Enter b3 correct to 4 decimal places: Enter FS3(0) correct to 3 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 4.
The Fourier series representation, FS(t), of a function f(t),
where f(t + 4) = f(t) is given by
ao
nπt
=
PS(() - +, cos (17) + A, sin (17)
(nat)
= =
an
COS
bn
2
2
2
n=1
In this particular case the Fourier series coeffcients are given by
ao
an
bn
= 0.25
3(−1)n
NTT
2(1 – 2(−1)n)
n²π²
Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered
values, compute FS3(0) correct to 3 decimal places.
Enter the values in the boxes below.
Enter 1
correct to 4 decimal places:
Enter a
correct to 4 decimal places:
Enter a
correct to 4 decimal places:
Enter b₁ correct to 4 decimal places:
Enter b₂ correct to 4 decimal places:
Enter b3 correct to 4 decimal places:
Enter FS3(0) correct to 3 decimal places:
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