The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by FS(t)+()+(²). cos 4 In this particular case the Fourier series coeffcients are given by a=0.75 b₁ = 2 2(-1)" 727 8 4(1-2(-1)") sin Compute the Fourier series coefficients for n=1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS3(4) 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 as correct to 4 decimal places: Enter by correct to 4 decimal places: Enter by correct to 4 decimal places: Enter by correct to 4 decimal places: Enter FS3 (4) correct to 3 decimal places:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The Fourier series representation, FS(t), of a function f(t),
where f(t + 8) = f(t) is given by
FS(t) = +
ao
2
n(mat).
In this particular case the Fourier series coeffcients are given by
ao=0.75
an=
2(-1)"
b₁
∞
nπ
7-1
an Cos
nnt
4
+b, sin
4(1-2(-1)")
7²²
Compute the Fourier series coefficients for n=1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS3(4) 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 as correct to 4 decimal places:
Enter b₁ correct to 4 decimal places:
Enter by correct to 4 decimal places:
Enter by correct to 4 decimal places:
Enter FS3 (4) correct to 3 decimal places:
Transcribed Image Text:The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by FS(t) = + ao 2 n(mat). In this particular case the Fourier series coeffcients are given by ao=0.75 an= 2(-1)" b₁ ∞ nπ 7-1 an Cos nnt 4 +b, sin 4(1-2(-1)") 7²² Compute the Fourier series coefficients for n=1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS3(4) 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 as correct to 4 decimal places: Enter b₁ correct to 4 decimal places: Enter by correct to 4 decimal places: Enter by correct to 4 decimal places: Enter FS3 (4) correct to 3 decimal places:
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