The Fourier transform of x(t) = 9+4t2 IS 37|f "e 3m1F] 2 77 O X(f) = 7T OX(f) = 27|f 2 37 OX(F) = - e 3f| 4 37 OX(f) = 4 e

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: f(t) = {, - 2 2 -2

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Q: x b

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Q: Find the complex fourier Intergral Representationn of 0, x 0

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Q: 3. Find the Fourier transform of: (a) e-r²/2 (b) xe-2|z| (c) erfx = // Se √ Ső e-²² dz

A: As per our company guidelines, since the question has multiple subparts we will solve the first part…

Q: Show that d(w) - = [6(w− 1) + 6(w+1)] is the Fourier transform of cos(t). Show that d(w) = −ix[8(w −…

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Q: Use direct integration to find the Fourier transform G(f) of signal

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Q: Compute the following 3 integrals: e¬l=le-ikz, dr dr 2 1 (1+. Yes, that's an absolute value in the…

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Q: f(x)= 0, x 1

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Q: (3) A signal has Fourier transform as, 1 sinc (2w X(w) sinc + 2. Compute x(t)

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Q: Find the inverse Fourier transform of 27 + 8(w). (a) 1+ 8(t) (b) + 8(t) (c) + 27 8(t) (d) 1+2 8(t)

A: Option (c) is correct.

Q: Find the inverse Transform F (6) = 6s s?+25 3. s²+25 S + 2

A: Note the result :

Q: /2 Prove that 5x1² |π x J1,2 (2x) dx = 1.

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