Question 4. The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by ∞ ao nπt FS(t) = 4 +a, cos (17²) + A, sin (7) an bn 2 4 n=1 In this particular case the Fourier series coeffcients are given by 0 = 1 an On = = 3(-1)n Nπ 3(1-2(-1)") n²π² Compute the Fourier series coefficients for n = = 1, 2, 3 correct to 4 decima places and hence, using these entered values, compute FS3(3 correct to decimal places. Enter the values in the boxes below. Enter a₁ correct to 4 decimal places: Enter a2 correct to 4 decimal places: Enter a3 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(2) correct to 3 decimal places:
Question 4. The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by ∞ ao nπt FS(t) = 4 +a, cos (17²) + A, sin (7) an bn 2 4 n=1 In this particular case the Fourier series coeffcients are given by 0 = 1 an On = = 3(-1)n Nπ 3(1-2(-1)") n²π² Compute the Fourier series coefficients for n = = 1, 2, 3 correct to 4 decima places and hence, using these entered values, compute FS3(3 correct to decimal places. Enter the values in the boxes below. Enter a₁ correct to 4 decimal places: Enter a2 correct to 4 decimal places: Enter a3 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(2) 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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I need full answer a1,a2,a3,b1,b2,b3,Fs
Transcribed Image Text:Question 4.
The Fourier series representation, FS(t), of a function f(t),
where f(t + 8) = f(t) is given by
nπt
FS(t) = 4+ [a, cos(xt) -
Σ
2
4
n=1
an
In this particular case the Fourier series coeffcients are given by
ao 1
bn
=
=
=
3(-1)"
Nπ
+ bn sin
3(1-2(−1)n)
n²π²
nπt
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
decimal places.
Enter the values in the boxes below.
Enter a₁ 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 (2) correct to 3 decimal places:
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