Write down the Fourier series for an odd function f(x) such that f(x + 2π) = f(x).

Q: f (x) AN X

A: The given problem is to find the Fourier series expansion from the given graph of the following…

Q: Show that the Fourier transform of f (x)= e*/2 is e

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Q: Find the Fourier transform F(e-az) of f(x) = e-a if x > 0 and f(x) = 0 if x 0.

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Q: Write the first 4 terms of the Fourier-Legendre expansion of the following function. Put in the…

A: It is known that the Fourier-Legendre polynomial series for a function fx in the interval -1,1 is…

Q: For x² +nr+1, n = N (the set of natural numbers), 2sin(x²-1)-sin 2(x²-1), sin(x²-1)+sin 2(x²-1)" the…

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Q: Find the Fourier series for the periodic function given on one period by f(x)= x, 1<x< 1.

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Q: Take any two functions g(x) and h(x), for example g(x) = 1 and h(x) = x. Is with these two functions…

A: Given that, gx=1, hx=x

Q: Find the Fourier Transforms of the indicated function: f (x) = e-3x for x > 0 and f (x) = e2x for x…

A: We have,fx=e-3xx&gt;0e2xx&lt;0 To Do: Find the Fourier Transform of the given function.

Q: f(x)=x+n, f(x+2) = f(x) Vr ER

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Q: Find the function f(x) that has Fourier transform (k) = (1+k4)-1.

A: Here we have to find out  .Now from definition of inverse fourier transform , to evaluate this…