The Fourier series representation, FS(t), of a function f(t), where f(t + 10) = f(t) is given by + + Σª, cos (15²) + an n=1 FS(t) an = bn = = ao 2 In this particular case the Fourier series coeffcients are given by ao = 1 4(-1)" nП + bn sin 3(1-2(-1)") n²π² nat 5 Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3 (5) 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 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 (5) correct to 3 decimal places:
The Fourier series representation, FS(t), of a function f(t), where f(t + 10) = f(t) is given by + + Σª, cos (15²) + an n=1 FS(t) an = bn = = ao 2 In this particular case the Fourier series coeffcients are given by ao = 1 4(-1)" nП + bn sin 3(1-2(-1)") n²π² nat 5 Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3 (5) 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 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 (5) correct to 3 decimal places:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4.Please solve this question step by step I need to understand to make sure.
![The Fourier series representation, FS(t), of a function f(t),
where f(t + 10) = f(t) is given by
nπt
FS(t) = + a, cos (1st) + b, sin (75)
ao
2
an
5
n=]
In this particular case the Fourier series coeffcients are given by
ao = 1
an
bn
4(−1)n
NT
3(1-2(−1)n)
n²π²
Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute
FS3 (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 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 (5) correct to 3 decimal places:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F574922ea-7d30-4bbb-b384-b46232f01934%2F2e45820a-507a-4360-a4b0-e8b026e16e60%2Fr8ilylb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The Fourier series representation, FS(t), of a function f(t),
where f(t + 10) = f(t) is given by
nπt
FS(t) = + a, cos (1st) + b, sin (75)
ao
2
an
5
n=]
In this particular case the Fourier series coeffcients are given by
ao = 1
an
bn
4(−1)n
NT
3(1-2(−1)n)
n²π²
Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute
FS3 (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 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 (5) correct to 3 decimal places:
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