The Fourier series representation, FS(t), of a periodic function of period 4 is given by 00 Nnt FS(t) Nat %3D an cos + b, sin In this particular case the Fourier series coefficients are given by =1.5 6(–1)" an 6(1 – 2(-1)") || n²#² Compute the Fourier series coefficients for n = 1,2, 3 correct to 4 decimal places and hence, using these enterëd values, compute FS,(2) correct to 3 decimal places. Enter the values in the boxes below. Enter a correct to 4 decimal places: Enter az correct to 4 decimal places: Enter ag correct to 4 decimal places:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 2.
The Fourier series representation, FS(t), of a periodic function of period 4
is given by
FS(t)
Nnt
-()
Nat
%3|
an cos
+ b, sin
In this particular case the Fourier series coefficients are given by
ao = 1.5
6(-1)"
an =
6(1
2(-1)")
n²#²
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 az correct to 4 decimal places:
Enter az correct to 4 decimal places:
Enter b correct to 4 decimal places:
Enter b correct to 4 decimal places:
Enter by correct to 4 decimal places:
Enter FS3(2) correct to 3 decimal places:
Transcribed Image Text:Question 2. The Fourier series representation, FS(t), of a periodic function of period 4 is given by FS(t) Nnt -() Nat %3| an cos + b, sin In this particular case the Fourier series coefficients are given by ao = 1.5 6(-1)" an = 6(1 2(-1)") n²#² 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 az correct to 4 decimal places: Enter az correct to 4 decimal places: Enter b correct to 4 decimal places: Enter b correct to 4 decimal places: Enter by correct to 4 decimal places: Enter FS3(2) correct to 3 decimal places:
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