Determine the Fourier integral representation of the following: f(t) = {6, 0 < t < 1 elsewhere A. B. C. D. 1 cos y--(sin +C+1) casut - (cosas + in) sin cut das wt] 1 w y = = = [1 + 1/ [(cos ( - Sina) ₁ cos cos wt+sin @ - + (sinw – 0 1 y = ² / √5 + 1/[(² y = sin @ + 1/ 5,5 / (( - cos @ 1 - cos w + W sin wy W + (−₁ cos wt + cos w + 11 @ - cos w + cos wt+sin @ + + (sin w- +¹) sin wt] dw sin w COS @- W sin wt dw -¹) sin wt] dw

Q: -Jut X (t)e dt +the fourer hersferm bloå lul-2-4)+u (t-e).

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Q: Find the Fourier Transformation of II (+-2) Select one: ○ e-3jxf sinc(f) -2j*f sinc(f) ○ ejf sinc(f)…

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Q: Determine the transform of the following functions using any methods . 2a sin 4t + 4b cos 3t

A: Some Laplace transform formulas: L{sinat}=aa2+s2L{cosat}=sa2+s2 Some properties of Laplace…

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Q: Determine the transform of the following functions using any methods. 2a sin 4t + 4b cos 3t

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A: Given : ∫-∞∞eiωxx2+1dx is Fourier transform of 11+x2 To Find : ∫-∞∞eiωxx2+1dx  by residue theorem

Q: Find the Fourier coefficients a0, ak  and bk off on [ - π,π] .                                 f (x)…

A: Given: fx=π-xTo find: The Fourier coefficients : a0, ak, bk on the interval -π, π.

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Q: Obtain the Fourier expansin f I+ 9X în -3 LXLO 3 f(x) = %3D 3.

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Q: Let x(t)=5sinc(1.5t) +6cos(7/2) and h(t)=4sind(). Determine y(t)=x(t)*h(t) using Fourier Transform…

A: Let  and We need to determine y(t)=x(t)∗h(t).To solve this problem, we list the Fourier transforms…

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Q: 1) +() = %3D -TT L X < o +マ OL X L T

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Q: etermine the Fourier integral representation of the given func f(t) = {t 0<t<3 otherwise

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Q: 4iw i3w3 + 6i²w2 + 11iw + 6

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Q: Derive the following Fourier transform: cos (2Nfot +0) ½ [8 (f + fo)e® + & (f - fo)e® ]

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Q: f) = (ae aet t<0 3) Find Fourier Transform for the following function as in figure:

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Q: Determine the Fourier transform of the following periodic signal 1+ cos(at + 5)

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as…