Q) find Fourier series on [0,27] (1) ƒ(x)=T– x
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![Q) fınd Fourier series on [0,27]
(1) ƒ(x)=7- x
(2) ƒ(x)=sinx
(3) ƒ(x)=cos x
(4) ƒ(x)=xsin x
(5) ƒ(x)=xcOS x
(-1
0<x<π
(6) ƒ(x) ={
1
II < x < 2n
(7)
T /4
0 <x< T
f (x) =
T / 4
T < x < 2n](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda26a6ce-bd77-4932-a056-63e5ab805cd1%2Fe68fc528-bb28-4526-abbf-aba73501ea09%2Fh7ngqpv_processed.jpeg&w=3840&q=75)
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- 3. Find the Fourier series coefficients for the following function So -T1. Find the Fourier series of f. f(x) = Jo for -3≤x<0 X for 0≤x≤ 3 1 240 do+Σa, cos NI 0,= = = 1², f(x) cos ("T") dx. FITTX L ¹)+b, sin 11 TTX L dx. for n=0, 1.2....Obtain complex Fourier series of f(t) = t|t| if |t| < πt Graph f(t)Q) find Fourier series on [-7,1] – 1 |4 -πd) Write the corresponding Fourier series of f (x). A periodic function of f (x) is given by [0, f(x)={-x-7, f(x+27). - T < x < 0, 0Q3) Verify that the Fourier transform of the function [1-x|, |x|1 a. Then Show that 2 sin u sin u b. Compute the integral 2 du sinu u is T 4 4 du sin² 2² (k/2) (4/2)² ƒ(k)=Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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