a) Find the Fourier transform of 4 f(t) = e tu(t) + -tu(t) + ²9.

Q: Find inverse Fourier transform of F(W) %3D W2-2W+3

A: A complex domain function can be transformed into a real-time function through the inverse Fourier…

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

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Q: Find the Fourier transform of S (x) =!-\,| sin x dx Hence evaluate

A: Given,    f(x)= 1-x, x≤10        , x>1

Q: 2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t) = G₁(f), 92(t)=G₂(f).…

A: We start with the time-domain signals and their Fourier transforms:Now, the convolution in the time…

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

A:

Q: 2s²+7 F(s) (s+1)(s+2)(s²+ 2s+5)

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Q: nsform of 20 sinc (10(t - 10)

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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

A:

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: Determine the Fourier transform and plot the magnitude S1, It| < T/2 l0, otherwise (ii) x(t) = f(x)…

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Q: Find the Fourier transform of (x) (13x if|x] 1

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

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Q: 6 = (2) Find and draw the Fourier transform of f(t) = 9+t²

A: We have to find the Fourier transform..To find this we using cauchy residue theorem

Q: Solve the fourier transform of the following functions: 2. f(x) = {x if 0 < x < a otherwise

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Q: Find the Fourier coefficients of the function f(x) = sin(10x) cos(x).

A: Given function is Noted that for a function for which fourier series exists, it is of the following…

Q: Find the Fourier transform of (а) f (г) %—D еxp (-ах?), () f (») — еxp (-а \x),

A: To find the Fourier transform of the below functions. fx=e−ax2 fx=e−ax

Q: a) Find the Fourier Transform of f(x) = = √2πx³ex, 0<x< 6

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

Q: Find the fourier transform of f(t) = e-2(t+4)ʻ sin (nt).

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

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Q: Find the Fourier transform of f(t) = 5e-3|t|_ %3D

A: To determine the Fourier transform of the below function. ft=5e−3t

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

A: