Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter 6₁ correct to 4 decimal places: 0000

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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Question 4.
The Fourier series representation, Fs(t), of a function f(t),
where f(t + 4) = f(t) is given by
nπt
2
FS(t) + Σa, cos (12t).
an
n=1
ao = 0.25
In this particular case the Fourier series coeffcients are given
by
an
bn
ao
2
=
2(−1)n
nn
5(1-2(-1)")
n²π²
+ bn 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.
a1
Enter
correct to 4 decimal places:
Enter
a3
Enter a2 correct to 4 decimal places:
correct to 4 decimal places:
Enter 6₁ correct to 4 decimal places:
Enter b2 correct to 4 decimal places:
Enter 63 correct to 4 decimal places:
Enter FS3 (2) correct to 3 decimal places:
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 nπt 2 FS(t) + Σa, cos (12t). an n=1 ao = 0.25 In this particular case the Fourier series coeffcients are given by an bn ao 2 = 2(−1)n nn 5(1-2(-1)") n²π² + bn 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. a1 Enter correct to 4 decimal places: Enter a3 Enter a2 correct to 4 decimal places: correct to 4 decimal places: Enter 6₁ correct to 4 decimal places: Enter b2 correct to 4 decimal places: Enter 63 correct to 4 decimal places: Enter FS3 (2) correct to 3 decimal places:
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