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The Fourier series representation, FS(t), of a function f(t), where f(t + 6) = f(t) is given by 00 nat nat FS(t) = +0,0 (5²) + b, sin (17). ao 2 an cos 3 3 n-1 In this particular case the Fourier series coeffcients are given by ao 1.25 an === 4(-1)" NA 3(1-2(-1)") n²7² Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3 (3) correct to 3 decimal places. bn = Enter the values in the boxes below. Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter correct to 4 decimal places: Enter by correct to 4 decimal places: Enter b₂ correct to 4 decimal places: Enter b3 correct to 4 decimal places: Enter FS3 (3) correct to 3 decimal places: |

The Fourier series representation, FS(t), of a function f(t), where f(t + 6) = f(t) is given by 00 nat nat FS(t) = +0,0 (5²) + b, sin (17). ao 2 an cos 3 3 n-1 In this particular case the Fourier series coeffcients are given by ao 1.25 an === 4(-1)" NA 3(1-2(-1)") n²7² Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3 (3) correct to 3 decimal places. bn = Enter the values in the boxes below. Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter correct to 4 decimal places: Enter by correct to 4 decimal places: Enter b₂ correct to 4 decimal places: Enter b3 correct to 4 decimal places: Enter FS3 (3) correct to 3 decimal places: |

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 3E
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The Fourier series representation, FS(t), of a function f(t), where f(t + 6) f(t) is given by FS(t) ao = 1.25 an = ao 2 + bn = 4(-1)" nn ∞ n=1 an cos In this particular case the Fourier series coeffcients are given by nπt 3 + bn sin nπt 3 3(1-2(-1)") n²π² Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS3 (3) 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 (3) correct to 3 decimal places:
Transcribed Image Text:The Fourier series representation, FS(t), of a function f(t), where f(t + 6) f(t) is given by FS(t) ao = 1.25 an = ao 2 + bn = 4(-1)" nn ∞ n=1 an cos In this particular case the Fourier series coeffcients are given by nπt 3 + bn sin nπt 3 3(1-2(-1)") n²π² Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS3 (3) 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 (3) correct to 3 decimal places:
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