The Laplace transform of f (t) = cos(2t) + 2e-3t + 3t² is: 4 F(s): s²+4 s+3 This option F(S) =D ++을 s²+4 s+3 +

Q: Fourier transform of 2e³jt f(t) expressed as G(w)

A:

Q: Determine inverse z-transform of the following equations: Z 2² a. b. (z-2)² (z-1)(z-0.5)

A:

Q: g(t) = 10rect [²(t+³)] ej²¹ 5 ej²nfot j2πfot

A: What is Fourier Transformation: A Fourier transform (FT) is a mathematical transformation that…

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

A:

Q: Determine inverse z-transform of the following equations: Z 2² a. b. (2-2)² (2-1)(z-0.5)

A:

Q: Find the Inverse Laplace transform of the following: (3s+2) / (s2+25) (5s2+3) / (s2+4)2

A: Part (i): Given,

Q: Find the Laplace transform of the equation: y′′−4y=sin2t when y(0)=0, y′(0)=2 choices: a.)…

A:

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

A:

Q: Derive the Fourier spectrum of a signal that is given by z(t) = forect (2T) exp(−j10t + jt) dt.…

A:

Q: Find the transform of the function: g (t) = t3/2

A: The objective is to find Laplace Transformation of the function gt=t32

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: In a equation, f(x) = 3 sin 3x - 2e-2x Calculate the Laplace transform

A:

Q: Find the Laplace transform of 4 sin(3t)+2 cos(9t).

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Use direct integration to find the Fourier transform G(f) of signal

A:

Q: The Fourier transform of the function f(t) = 2e-2t cosh 2t u(t)is: 2 4 A- πδ (ω) B- πδ(ω )+ j2w+w?’…

A: We have to use formula for Fourier Transform.

Q: Please do the Fourier transform of the following formula u₁(xo, Yo) = exp(- exp(-xo+yo) wo

A: Given: u0x0,y0=exp-x02+y02w02 To find: Solution

Q: Find Fourier transform for the following functions:x(t)=3+(sin2wt)2

A: Given function is, xt=3+sin2wt2.      ........1 Fourier transformation: Fourier transformation of…

Q: B. Find the inverse Z-transform of X(z) Z-1

A:

Q: Find the Laplace transform of the following function. That is, determine coefficient D f(t) =…

A:

Q: Find the inverse Laplace transform of 42s + 34 (s – 3)(s² + 2s + 5)

A:

Q: Determine the transform of the following functions using any methods . t^2 sinh 3t

A: According to the definition, the transform of the function f(t),  is given by L[f(t)]=∫0∞e-stf(t)dt,…

Q: 12 + 2s – 5s2 s4 A. f(t) = 12t3 + 2t2 - 5t C. f(t) = 2t3 + t2-5t B. f(t) = 2t* + t3 - 5t2 D. f(t) =…

A: We have to find the Laplace transform of 12+2s-5s2s4

Q: s+2 Find the inverse transform: F(s) s2-6s+8 А. Зе 4t — 2е2t C. e4t – 3e2t В. 2е4t — Зе2t D. e4t +…

A:

Q: The inverse Z-transform of the function x{z): for (1+2 (2-2)

A: Given, x(z)= 11+z-12-z-1 for ROC 12<z<1 Now,         x(z)= z2z+12z-1 Using partial fraction,…

Q: Use Laplace transform technique to solve y+2y+2y=e, y(0) = 3, y (0)=-3

A: We need to use Laplace transform to solve this differential equation.

Q: Find the Laplace Transform of f(t) = t e2t sin3t 6(s+2) F (s) ( (s+2) ² – 9) 2 A %3D 6(s– 2) F (s) =…

A:

Q: Let ft) be the inverse Laplace transform of 7s2 + 9s + 30 F(s) = (s2 + 4s + 5)(s – 5)" What is…

A:

Q: I the Fourier transform of f(t)= 3sin5t +4cosl %3D

A:

Q: 5s + 57 32(s + 2s + 17)

A:

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: N (z−2)²

A: Follow the steps.

Q: 4s+4 Find the inverse transform: F(s) %3D s2 (s-2)

A: