Show that the Fourier transform of f(t) defined by: -3, -a < t < 0 3, f (t) = 0

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

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Q: Find the sine transform of a function of x which is equal to sin x for 0 <x<a and 0 for x2a.

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Q: find the Fourier transform f(x) = e ¹² cos fx|

A: What is Fourier Transformation: A mathematical transformation known as the Fourier transform…

Q: 7. Obtain the Fourier sine transform of the following functions: sin wx (c) x² +1' w > 0

A: The given problem is to find the Fourier sine transform of the given function, we have a general…

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: What is the Inverse Fourier transform of: F(w)=, (w+6) Your answer should be expressed as a function…

A: To find inverse Fourier transform of Fw=-46+iw3 , we can use some standard Fourier transform…

Q: sinh ot + cos ot

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Q: 6. a) Find the Fouriér Transform of f(x) = 1-x² (x) 1), b) Evaluate, - I Cosx-sinx cosdx

A: We have to solve the given problem using Fourier transform.

Q: Consider f(x) = xe The Fourier Sine transform of f(x) F,f(2) = The Fourier Cosine transform of f(x)…

A: Solution

Q: Find sine transform of e-[165]t/t

A: The Fourier sine transform is defined as                                  Fsfx = Fss = ∫0∞fx sinsx…

Q: Find the inverse Fourier transform of the function 10 sin(3) w+T

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Q: -Obtain the Fourier transform of f(t): = sin (30) -t²+7it+12

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Q: b) Find the Fourier sine transform of f(x) = 12π, 0 < x < 6π

A: Fourier coefficients represent the amplitude of each harmonically-related sinusoid present in the…

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 Fourier Transforms of the indicated function: f (x) = xe-|x|

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Q: What is the Fourier transform of: f(t)=sgn(t) e? Your answer should be expressed as a function of w…

A: Given a function ft=7i2sgnte−8t Explanation ft=7i2e−8t       for t&gt;0 ; t&gt;0 sgnt=1−7i2e8t…

Q: 1) Find the Fourier Sine transform of the function f(x) = re %3D

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Q: Find the Fourier transform for f (x) xe c > 0

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Q: sx 14-X Find the Fourier transform of function f(x) = , 0<x< 14 14 < X <16

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Q: Determine the Fourier transform of f if f(x)=e* for x> 0 and f(x)=sinh2x when x< 0.

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Q: Prove the following continuous time Fourier transform relationship. sin(at) 1 X(N) = Continuous Time…

A: Fourier inverse of XΩ=1    -π≤Ω≤π0    otherwise is : F-1XΩ=12π∫-∞∞XΩejΩtdΩ…

Q: Q3) Verify that the Fourier transform of the function [1-x|, |x|1 f(x)= a. Then Show that 2 sin u u…

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Q: What is the Fourier Transform of sinc(2*x) ? Please show your work. I'm so confused

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