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The Fourier series representation, FS(t), of a function f(t), where f(t + 6) = f(t) is given by nat 3 FS(t) = a=0.25 an= Go + b₁ = n=1 In this particular case the Fourier series coeffcients are given by 2(-1)" TLT an cos + b sin nat 3(1-2(-1)") 72²² Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS,(1.5) 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 a correct to 4 decimal places: Enter b, correct to 4 decimal places: Enter by correct to 4 decimal places: Enter bs correct to 4 decimal places: Enter FS,(1.5) 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 nat 3 FS(t) = a=0.25 an= Go + b₁ = n=1 In this particular case the Fourier series coeffcients are given by 2(-1)" TLT an cos + b sin nat 3(1-2(-1)") 72²² Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS,(1.5) 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 a correct to 4 decimal places: Enter b, correct to 4 decimal places: Enter by correct to 4 decimal places: Enter bs correct to 4 decimal places: Enter FS,(1.5) correct to 3 decimal places:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
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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) = 7+ Σa, cos ("3") + b., sin (3) 7-1 In this particular case the Fourier series coeffcients are given by a=0.25 Compass b₁ 2(-1)" 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 FS,(1.5) 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: 000000 Enter b₂ correct to 4 decimal places: Enter b3 correct to 4 decimal places: Enter FS (1.5) 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) = 7+ Σa, cos ("3") + b., sin (3) 7-1 In this particular case the Fourier series coeffcients are given by a=0.25 Compass b₁ 2(-1)" 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 FS,(1.5) 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: 000000 Enter b₂ correct to 4 decimal places: Enter b3 correct to 4 decimal places: Enter FS (1.5) correct to 3 decimal places:
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