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Question 4. The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by (not) (not)

Question 4. The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by (not) (not)

Advanced Engineering Mathematics
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 + 8) = f(t) is given by FS(t) ao = 1.25 an = bn - ao ∞ 5(−1)n Nπ n=1 In this particular case the Fourier series coeffcients are given by an cos nπt 6(1-2(−1)n) n²π² + bn sin nπt Compute the Fourier series coefficients for n = : 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3(6) correct to 3 decimal places. Enter the values in the boxes below. Enter a1 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 b3 correct to 4 decimal places: Enter FS3 (6) correct to 3 decimal places:
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 FS(t) ao = 1.25 an = bn - ao ∞ 5(−1)n Nπ n=1 In this particular case the Fourier series coeffcients are given by an cos nπt 6(1-2(−1)n) n²π² + bn sin nπt Compute the Fourier series coefficients for n = : 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3(6) correct to 3 decimal places. Enter the values in the boxes below. Enter a1 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 b3 correct to 4 decimal places: Enter FS3 (6) correct to 3 decimal places:
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