Question 4. The Fourier series representation, FS(t), of a function f(t), where f(t+6) = f(t) is given by FS(t) = 0 + cos(x)- ао 2 Σ n=1 an nπt + bn sin 3 3 In this particular case the Fourier series coeffcients are given by ао = 0.25 5(-1)n an == пп bn = 4(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(0) correct to 3 decimal places. Enter the values in the boxes below. Enter a₁ correct to 4 decimal places: Enter a₂ 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 (0) correct to 3 decimal places:

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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Question 4.
The Fourier series representation, FS(t), of a function f(t),
where f(t+6) = f(t) is given by
FS(t) = 0 + cos(x)-
ао
2
Σ
n=1
an
nπt
+ bn sin
3
3
In this particular case the Fourier series coeffcients are given by
ао
=
0.25
5(-1)n
an
==
пп
bn
=
4(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(0)
correct to 3 decimal places.
Enter the values in the boxes below.
Enter a₁ correct to 4 decimal places:
Enter a₂ 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 (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+6) = f(t) is given by FS(t) = 0 + cos(x)- ао 2 Σ n=1 an nπt + bn sin 3 3 In this particular case the Fourier series coeffcients are given by ао = 0.25 5(-1)n an == пп bn = 4(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(0) correct to 3 decimal places. Enter the values in the boxes below. Enter a₁ correct to 4 decimal places: Enter a₂ 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 (0) correct to 3 decimal places:
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