he Fourier series representation, FS(t), of a periodic function of period 4 s given by nnt FS(t)= s(t) = + Σ₁ cm (²) + 4x (T). Σαμ cos b sin 3 3 In this particular case the Fourier series coefficients are given by 40 = 0.75 A₂ = 3(-1)" 727 6(1-2(-1)") 7²² Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using th Enter the values in the boxes below. b₁ =

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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Question
Please solve this question with 4 decimal.
The Questions
Question 2.
The Fourier series representation, FS(t), of a periodic function of period 4
is given by
Fs(t) = % + Σanc
2
n=1
In this particular case the Fourier series coefficients are given by
a=0.75
an=
3(-1)"
TLT
b₁ =
nπt
cos (17²) +
3
an Cos
+ b sin
6(1-2(-1)")
7²π²
Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS,(0) correct to 3 decimal places.
Enter the values in the boxes below.
(17²).
3
Type here to search
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:
Enter b₂ correct to 4 decimal places:
Enter bs correct to 4 decimal places:
Enter FS (0) correct to 3 decimal places:
hp
O
ŵ
O B/s
0 B/s
30°C
On
Transcribed Image Text:The Questions Question 2. The Fourier series representation, FS(t), of a periodic function of period 4 is given by Fs(t) = % + Σanc 2 n=1 In this particular case the Fourier series coefficients are given by a=0.75 an= 3(-1)" TLT b₁ = nπt cos (17²) + 3 an Cos + b sin 6(1-2(-1)") 7²π² Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS,(0) correct to 3 decimal places. Enter the values in the boxes below. (17²). 3 Type here to search 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: Enter b₂ correct to 4 decimal places: Enter bs correct to 4 decimal places: Enter FS (0) correct to 3 decimal places: hp O ŵ O B/s 0 B/s 30°C On
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