Question 4. The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by FS(t)- -+a, cos (at) + b, sin(at). In this particular case the Fourier series coeffcients are giver by do=1.5 4, = b₂ 4(-1)" 117 5(1-2(-1)") n²x² 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. 000 Enter a, correct to 4 decimal places: Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter &, correct to 4 decimal places: Enter b, correct to 4 decimal places: Enter b, 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 + 8) = f(t) is given by FS(t)- -+a, cos (at) + b, sin(at). In this particular case the Fourier series coeffcients are giver by do=1.5 4, = b₂ 4(-1)" 117 5(1-2(-1)") n²x² 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. 000 Enter a, correct to 4 decimal places: Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter &, correct to 4 decimal places: Enter b, correct to 4 decimal places: Enter b, 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(+8)=f(t) is given by
nat
FS(t) = +a, cos (mt) + b, sin (17).
(nat).
In this particular case the Fourier series coeffcients are giver
by
ag=1.5
a, =
b₁ =
4(-1)"
TIT
5(1-2(-1)")
n²x²
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 a correct to 4 decimal places:
Enter b, correct to 4 decimal places:
Enter by correct to 4 decimal places:
Enter & correct to 4 decimal places:
Enter FS,(2) correct to 3 decimal places:
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