Using the Fourier Transform table, find the Fourier transform of this signal: (d) x(t) = = 1 if 1 ≤ t ≤ 3 -1 if |t| < 1 0 otherwise Hint: use Fourier Transform pair rect(t) → sinc(w/2n)

Q: f (t) ) — е -4(t-2)² e

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Q: Q3: Find the following Fourier Transform using properties only: F{e=2t+6+j2(t=3)u(t – 3)}

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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

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Q: ii) using the Fourier Transforms, Calculate dx. Jo (4x*)(9+x*)'

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Q: Please do the Fourier transform of the following formula u₁(xo, Yo) = exp(- exp(-xo+yo) wo

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Q: Solve the Laplace Transform f(x) = 2/x

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Q: 2. Verify the following property of the Fourier transform: F(u(x + a)) = e-ial a(z)

A: Given::- Verify the following property of the Fourier transform: F(u(x + a)) =e^ -ia xi hat u( xi).

Q: Suppose the function f: R→ R has Fourier transform 1 f(p) = e-p². 1+ 4π²p² i. What is the Fourier…

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Q: w? + 21 F(w) w2 + 9

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Q: Q2/ from definition of Fourier transform, show that rect (t-5) is sinc (w/2)e-/2w

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Q: F(s) = 1 (s + 1)²(s² + 4)

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Q: Find the fourier Transform for the signal Given Ye Sinh (H)

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Q: F(s) 8Bs - 7C (s + 3)(s - 4) (As − 1)

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Q: f(x)= 2+ Show that fe L²(R) and find the L²-norm of the Fourier transform of

A: Answer given below.

Q: * - 10x + 9x = 5t, x(0) = -1, x(0) = 2

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Q: Find the Fourier Cosine Transform of the function 031.png f(x)= (ae¯mx + be¯x} if x>0 x > 0 if a =…

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Q: By using the Fourier transform table, find the Fourier transform for the follwoing function…

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Q: Find the Fourier transform of the following function: 7 sin(3r – 2) r2 + 25 - 2 exp (4 - 5|r-3|).

A: We are given a function in variable x and we have to find its Fourier transform. For that we will…