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The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by nnt FS(t) = 2 + 2a, cos (177) In this particular case the Fourier series coeffcients are given by ao=1.75 an= 3(-1)" 727 b₁ = + b sin (17²). 5(1-2(-1)") 72²7² 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 a correct to 4 decimal places: Enter as correct to 4 decimal places: Enter b, correct to 4 decimal places: Enter by correct to 4 decimal places: Enter by correct to 4 decimal places: Enter FS,(2) correct to 3 decimal places: |

The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by nnt FS(t) = 2 + 2a, cos (177) In this particular case the Fourier series coeffcients are given by ao=1.75 an= 3(-1)" 727 b₁ = + b sin (17²). 5(1-2(-1)") 72²7² 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 a correct to 4 decimal places: Enter as correct to 4 decimal places: Enter b, correct to 4 decimal places: Enter by correct to 4 decimal places: Enter by correct to 4 decimal places: Enter FS,(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
Section6.7: Applied Problems
Problem 68E
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The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by nnt FS(t) = + Σa, cos (17²) + b, sin (""). 2 4 4 751 In this particular case the Fourier series coeffcients are given by 40 = 1.75 A₁ = b₁ 3(-1) 5(1-2(-1)") 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 3 decimal places. Enter the values in the boxes below. 0000 Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter as correct to 4 decimal places: Enter & correct to 4 decimal places: Enter b correct to 4 decimal places: Enter bs correct to 4 decimal places: Enter FS (2) correct to 3 decimal places:
Transcribed Image Text:The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by nnt FS(t) = + Σa, cos (17²) + b, sin (""). 2 4 4 751 In this particular case the Fourier series coeffcients are given by 40 = 1.75 A₁ = b₁ 3(-1) 5(1-2(-1)") 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 3 decimal places. Enter the values in the boxes below. 0000 Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter as correct to 4 decimal places: Enter & correct to 4 decimal places: Enter b correct to 4 decimal places: Enter bs correct to 4 decimal places: Enter FS (2) correct to 3 decimal places:
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