5 s2+ 3 s2 –8

Q: 1 F(s) = s(s² +2s + 2)

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Q: 2s – 3 - 1. F (s) (s – 2)²(s + 5) 2s 2. G(s) = s2 + 8s + 25

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Q: Use the step function to calculate the transforms of the functions below. Evaluate at s = 1.

A: The transform of the function f(t) is represented as F(s), and it is defined as ∫0∞e-stf(t)dt, where…

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: 5s+3 6s F(s) = (5s2+4s+1) -- 9 s2 +7

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Q: 49 2s2 +16 121

A: This is a problem related to inverse laplace transform. Based on the general formula we will answer…

Q: Problem 3. Which gives the inverse transforms of the given s-domain function?…

A: Given problem:-

Q: 21 4 39. (s + V2jª 40. s2 - 2s - 3

A: 39. Given  F(s) = 21s + 24       = 3!.213!s - -24 Apply laplace inverse both sides, we get L-1Fs =…

Q: 1+e² sin z + z cos z

A: Introduction :

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: z+1 (a) (z2-16)(z+2)

A: We have to identify the poles first.

Q: 10s2+5s+4 F(s) (s³–6s²+11s-6)(s³)

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Q: 4. Find the Inverse Fourier transform of Te-l@l.

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Q: g(n) = -n° + 3

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Q: o f(x) = x³ expand vertically by a factor of 2 translate left 3 units 3. %3D

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Q: f(t) = cos(-6t)U(t – n)

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Q: 5. Find the Fourier transform of of 6e-lt.

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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: f(t) = e“U(t – 3)

A: The given function: f(t)=e4tU(t-3) To find the transforms of the function above at s=-4: Apply…

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

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