The Fourier series representation, FS(t). of a periodic function of period 4 is given by -(*) FS(t) + Nnt %3D an cos + b, sin 21 7 1 In this particular case the Fourier series coefficients are given by = 1.5 6(-1)" an = 6(1 2(-1)") n²#² Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS;(2) correct to 3 decimal places. Enter the values in the boxes below. En Enter FS3(2) correct to 3 decimal places:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 22E
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Question 2.
The Fourier series representation, FS(t). of a periodic function of period 4
is given by
Nnt
FS(t)
|3D
an cos
+ b„ sin
2
21
In this particular case the Fourier series coefficients are given by
ao = 1.5
6(-1)"
an
6(1 –
2(-1)")
bn
n²n²
Compute the Fourier series coefficients forn = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS;(2) correct to 3 decimal places.
Enter the values in the boxes below.
En
Enter FS3(2) correct to 3 decimal places:
Transcribed Image Text:Question 2. The Fourier series representation, FS(t). of a periodic function of period 4 is given by Nnt FS(t) |3D an cos + b„ sin 2 21 In this particular case the Fourier series coefficients are given by ao = 1.5 6(-1)" an 6(1 – 2(-1)") bn n²n² Compute the Fourier series coefficients forn = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS;(2) correct to 3 decimal places. Enter the values in the boxes below. En Enter FS3(2) correct to 3 decimal places:
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