a)Find the Laplace transform of the given function  g(t)= {0, 0 < t < 4 (t-4)^2, t ≥ 4 b) Find L^-1{1/(s-1)^2 using concolutions. c) Find L^-1{1/(s-1)^2 using partial fractions.

M3

Only part b

Apply the translation theorem to find the inverse Laplace transform of the following function. F(s) = %3D 2s - 16 Click the icon to view the table of Laplace transforms. L-^{F(s)} =O (Type an expression using t as the variable.)

Q2/ Find Fourier Transform the following function as in graph: (-1,0) (1,0) Pi

Homework 9 Solution Determine the Laplace Transform of the given function い ーー ーリ -5s - 36 -5s - 36 9. L (s+2)(s²+9)] 9. L1. =-2e" +2 cos 3t -3sin 3t |(s+2)(s² +9),

3. (a) Calculate the Laplace transform of each function. Explain your reasoning (i) cos(2t) sin(4t). (ii) est cosh(3t). (iii) H(t-2) sin(4t-8). (iv) (t-3)²e-2tH(t-3).

estion 20 Given the inverse Laplace transform-1F(s)} = f(t) then (FG-2)} equals O 2e-4tf(2t) O 2etf(2t) O None of these.