Question 4. The Fourier series representation, FS(t), of a function f(t), where f(t + 4) = f(t) is given by s(17²). FS(t) = 2 an cos n=1 ao = In this particular case the Fourier series coeffcients are given by an = b₁ = 0.75 4(-1)" nn n (¹7²). 2(1-2(-1)") n²π² + b₁ sin Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS,(2) 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 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 FS,(2) correct to 3 decimal places:
Question 4. The Fourier series representation, FS(t), of a function f(t), where f(t + 4) = f(t) is given by s(17²). FS(t) = 2 an cos n=1 ao = In this particular case the Fourier series coeffcients are given by an = b₁ = 0.75 4(-1)" nn n (¹7²). 2(1-2(-1)") n²π² + b₁ sin Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS,(2) 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 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 FS,(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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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
cos (17²) -
FS(t) =
=
ao = 0.75
an =
bn
ao
2
In this particular case the Fourier series coeffcients are given
by
=
an cos
4(-1)"
nn
in (17²).
2(1-2(-1)")
n²π²
+ b sin
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:
Enter a 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 bg correct to 4 decimal places:
Enter FS3 (2) correct to 3 decimal places:
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