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The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by Σ n=1 FS(t) ao = 1.25 an bn = = - ao 2 + In this particular case the Fourier series coeffcients are given by an cos 6(-1)" Nπ nπt 3(1 – 2(−1)n) n²π² + bn sin (nat) Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3(0) 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: correct to 4 decimal places: Enter a

The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by Σ n=1 FS(t) ao = 1.25 an bn = = - ao 2 + In this particular case the Fourier series coeffcients are given by an cos 6(-1)" Nπ nπt 3(1 – 2(−1)n) n²π² + bn sin (nat) Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3(0) 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: correct to 4 decimal places: Enter a

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 ao nπt FS(t) = 40 + a, cos (nat) Σ an 2 4 n=1 ao = 1.25 In this particular case the Fourier series coeffcients are given by an bn - = 6(−1)n Nπ + bn sin 3(1-2(-1)") n²π² nπt 4 Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3(0) 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 a 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(0) 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 ao nπt FS(t) = 40 + a, cos (nat) Σ an 2 4 n=1 ao = 1.25 In this particular case the Fourier series coeffcients are given by an bn - = 6(−1)n Nπ + bn sin 3(1-2(-1)") n²π² nπt 4 Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3(0) 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 a 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(0) correct to 3 decimal places:
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I need b1,b2,b3, and Fs3

Question 4. The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by ao nπt FS(t) = 40 + a, cos (nat) Σ an 2 4 n=1 ao = 1.25 In this particular case the Fourier series coeffcients are given by an bn - = 6(−1)n Nπ + bn sin 3(1-2(-1)") n²π² nπt 4 Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3(0) 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 a 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(0) 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 ao nπt FS(t) = 40 + a, cos (nat) Σ an 2 4 n=1 ao = 1.25 In this particular case the Fourier series coeffcients are given by an bn - = 6(−1)n Nπ + bn sin 3(1-2(-1)") n²π² nπt 4 Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3(0) 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 a 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(0) correct to 3 decimal places:
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