5s s+4 s2 + 16 -f(t) 3e 4t-5 cos 4t C. f(t) = 3e¬t - 5 sin 4t .f(t) = 3et-5 cos 4t D. f(t) = 3et - 5 sin 4t %3D %3D 3.

Q: F-¹ ¹(1+jw) (2+jw)

A: L

Q: e-4s 17. Y(s) = s3

A:

Q: 8s – 18 Find the inverse Laplace transformf(t) = L¯' {F(s)} of the function F(s) : s2 – 4s + 20

A: Consider the provided the question,

Q: If L{f"(t)} = arctan ), f(0) = 2 and f'(0) = 1, find L{f(t)}. %3D

A: Given - If ℒf''t = arctan12 , f0 = 2 and f'0 = 1  To find - ℒft       Formula used - ℒfnt = snFs -…

Q: Find the inverse Laplace transform of s+1 F(s) = e-2s, %3D s2-2s + 2

A:

Q: Find the inverse 2-Transforrm of log(z f log 241 by Power senies method and by division method

A:

Q: 1 s²+4s+4

A:

Q: Solve the inverse Laplace transform: 2s-4 s2+8s+13

A:

Q: 6. Evaluate the inverse z-transform of x(z)= 2z-1 (1-2z-1)2

A: Given: xz=2z-11-2z-12 To find: Inverse z-transform of given function.

Q: 2s2 + 5s – 4 3. s3 + s² – 2s -

A:

Q: u(, 0) - R° cos(s® s cos(sa) S cos| sa

A: Solution

Q: 2e-2s 22. F(s) = s2 – 4

A:

Q: f(t) 1

A:

Q: Yi 6x1 -1x2 Y2 —17х1 +3x2 I|||

A: Given linear transformation T is  y1=6x1-1x2y2=-17x1+3x2 Its inverses is the function T-1 from y to…

Q: F(s) F(s) = = s²-1 1-2s s²+4s+5

A:

Q: n(n)-b" foomzo )nm)こf3.5,0.1 n(m) -u(-mリ) 2,1,3,5,0.7 %3D

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve the first three…

Q: F(s) = (8-2)e-* 8²-48 +3

A:

Q: 2s2+10s F(s) (s + 1) s2-2s+5

A:

Q: find the inverse of Laplace transform

A: Consider the provided expression:

Q: 8s + 12 s² + 4s + 29

A:

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

A: Given problem:-

Q: (1-1z1, 1리1

A:

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

A: The objective is to determine the inverse function of F(w) F(ω)=ω2+21ω2+9         =ω2+9+12ω2+9…

Q: 2s – 10 -5s

A: We have to solve given problems:

Q: -3iw sin 5w 20e F(@) = %3D 3

A:

Q: -s-1 1. F(s) s2+s-2 2s+5 2. F(s) (s-3)2

A:

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

A:

Q: 4iw i3w3 + 6i²w2 + 11iw + 6

A: Given: 4iωi3ω3+6i2ω2+11iω+6 To find: Inverse Fourier Transform of the given expression.

Q: Calculation: Rewrite the given function. Y [s] = 2s+3 s²+s+1 2s+1+2 e

A:

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

A:

Q: 0 9. f(t)=t-n 0 if t 2π

A:

Q: find the inverse of Laplace transform

A: Find

Q: .2 TX e cos(x)

A: Given, fx=e-πx2cosx ∴ℱfx=f~p=12π∫-∞∞eipxfxdx⇒ℱe-πx2cosx=12π∫-∞∞eipxe-πx2cosxdx…

Q: 8z + 22 – 23 3. Find the causal inverse z-transform of X(2) = %3D (z – 1)(z – 3)²

A:

Q: a square represented by the graph as follows. Find the fourier transform pair.

A: The Fourier Series is given by :Here, 1. f(x) is the function2. L is half of the period of the…

Q: 1 Y(s) : s2 + 7s + 10 a. y(t) =(e-5t – e24) b. y(t) =(e-5t + e²') c. y(t) =(e5t - e-2t) d. y(t)…

A: