Derive the Fourier transform of the following shifted rectangular pulse function: f(t) 1, -1≤t≤ 3 0, elsewhere

Q: 2 f(x) = (ae-4x + be-3x + ce-2x) if x > 0

A: The given problem is to find the Fourier cosine transform of the given function and also find the…

Q: F-¹ ¹(1+jw) (2+jw)

A: L

Q: f(t) = v1+ sin t + (6t)13 + t² sin 4t

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Q: si |x| < a 1. f(x) = [1 0 en otro caso ||

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Q: A. B. Determine the Fourier transform of the following: f(t) = {te- C. D. F(w) F(w) = F(w) = F(w) =…

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Q: f(t) = u(t− 3)(t - 3)e-4t

A: In this question, the concept of Fourier Transform is applied. Fourier Transform The Fourier…

Q: Determine the Fourier Transform of the following function. -2 <x < 0, 0 <x < 2; Problem 1: f(x) =…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: f(t) 1

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Q: 7) f(x)= xe-x 0 if -1<x<0 otherwise

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx  We are given fx=xe-xif…

Q: 2s3+ 4s²+1 F(s) = (s²+ 2s+17)(s²+ 4s+20)

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Q: 2s²+7 F(s) (s+1)(s+2)(s²+ 2s+5)

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Q: b-F(w)=e"w - t

A: According to the definition of modulus function f(x)=|x|, the value of function f(x) is x, if x≥0…

Q: 2 f(x) = (ae-4x + be-3x + ce-2x)ʻ if x>0

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Q: L5s? +o 2 -50 キ (6) %3D (4の)(84))(++)

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Q: s(1) = {" 0 1+ jwe ¹+jw (-w+j)² Given: f(t) a.) -t te -1<t<0 otherwise

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Q: 2+5( jw) (jw)' +3( jw)–10 a- F(w)=-

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Q: -21 e * u(t) + e ª u(1)

A: The given function is    e-tut+e-2tut Let xt=e-tut and x1t= e-2tut

Q: 10s2+5s+4 F(s) (s³–6s²+11s-6)(s³)

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Q: Solve the Fourier Transform of the function using the different Fourier Transform properties and…

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Q: Find the Fourier Sine Transform of the function   if a = 7,  b = 7 , m = 5 , and n = 4. Then,…

A: The formula for the Fourier Sine Transform is :-  f^a=2π∫0∞fxsinaxdx   And we are given the function…

Q: The question involves finding the inverse Fourier Transform of the following functions:

A: see the attachment given below for details.Explanation:

Q: N (z−2)²

A: Follow the steps.

Q: X(z) = z² N N (2--/-)² (2-²) 3/

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Q: 5: F(s) = (+2s+1) +7

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Q: 2s2 + 5s - 6 s3 - 3s2 – 13s + 15 69 3 69 A. f(t) = " e5t -1et C. f(t): est +1et 3 -3t 32 -3t 32 16…

A: L-12sz+5s-6s3-3s2-13s+15Take the partial fraction of…

Q: Find the Fourier cosine transform of e-x.

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Q: t, f(t) = 2t - 1, 0, 0 < t < 1 0<t<2 otherwise

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Q: Give the Fourier Transform for the following functions: (i) 108(t)

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