The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by Σ n=1 FS(t) ao = 1.25 an bn = = - ao 2 + In this particular case the Fourier series coeffcients are given by an cos 6(-1)" Nπ nπt 3(1 – 2(−1)n) n²π² + bn sin (nat) 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 a correct to 4 decimal places: correct to 4 decimal places: Enter a
The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by Σ n=1 FS(t) ao = 1.25 an bn = = - ao 2 + In this particular case the Fourier series coeffcients are given by an cos 6(-1)" Nπ nπt 3(1 – 2(−1)n) n²π² + bn sin (nat) 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 a correct to 4 decimal places: correct to 4 decimal places: Enter a
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
Related questions
Question
I need full answer please
![Question 4.
The Fourier series representation, FS(t), of a function f(t),
where f(t + 8) = f(t) is given by
ao
nπt
FS(t) = 40 + a, cos (nat)
Σ
an
2
4
n=1
ao = 1.25
In this particular case the Fourier series coeffcients are given by
an
bn
-
=
6(−1)n
Nπ
+ bn sin
3(1-2(-1)")
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(0) 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(0) correct to 3 decimal places:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71d8f41c-1b77-46dd-a37a-38b24e87dcf6%2F589db24e-ec59-4ff9-9b58-20344a552a91%2F9ih71tr_processed.jpeg&w=3840&q=75)
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
ao
nπt
FS(t) = 40 + a, cos (nat)
Σ
an
2
4
n=1
ao = 1.25
In this particular case the Fourier series coeffcients are given by
an
bn
-
=
6(−1)n
Nπ
+ bn sin
3(1-2(-1)")
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(0) 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(0) correct to 3 decimal places:
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Follow-up Questions
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Follow-up Question
I need b1,b2,b3, and Fs3
![Question 4.
The Fourier series representation, FS(t), of a function f(t),
where f(t + 8) = f(t) is given by
ao
nπt
FS(t) = 40 + a, cos (nat)
Σ
an
2
4
n=1
ao = 1.25
In this particular case the Fourier series coeffcients are given by
an
bn
-
=
6(−1)n
Nπ
+ bn sin
3(1-2(-1)")
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(0) 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(0) correct to 3 decimal places:](https://content.bartleby.com/qna-images/question/71d8f41c-1b77-46dd-a37a-38b24e87dcf6/2955db41-0971-49a3-a5da-c45a609da2d1/91wr7aa_thumbnail.jpeg)
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
ao
nπt
FS(t) = 40 + a, cos (nat)
Σ
an
2
4
n=1
ao = 1.25
In this particular case the Fourier series coeffcients are given by
an
bn
-
=
6(−1)n
Nπ
+ bn sin
3(1-2(-1)")
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(0) 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(0) correct to 3 decimal places:
Solution
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