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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 2 an bn = = ∞ 3(−1)n Nπ n=1 In this particular case the Fourier series coeffcients are given by ao = 1 an Cos nπt 4 3(12(-1)") n²π² + bn sin (not). 4 Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3(2) correct to 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 (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): + ao 2 an bn = = ∞ 3(−1)n Nπ n=1 In this particular case the Fourier series coeffcients are given by ao = 1 an Cos nπt 4 3(12(-1)") n²π² + bn sin (not). 4 Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3(2) correct to 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 (2) correct to 3 decimal places:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 19E
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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 nπt FS(t) = 4+ [a, cos(xt) - Σ 2 4 n=1 an In this particular case the Fourier series coeffcients are given by ao 1 bn = = = 3(-1)" Nπ + bn sin 3(1-2(−1)n) 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 (2) correct to 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 (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 + 8) = f(t) is given by nπt FS(t) = 4+ [a, cos(xt) - Σ 2 4 n=1 an In this particular case the Fourier series coeffcients are given by ao 1 bn = = = 3(-1)" Nπ + bn sin 3(1-2(−1)n) 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 (2) correct to 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 (2) correct to 3 decimal places:
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