Find Z-transforms and corresponding regions of convergence for the following signals:

Q1: Given the following discrete signal X,(z) = z-1- 4z-2 +2-3, X2(z) = z-1 + z-5 -z-6 X3(z) = z-1+ 4z-3 and X4(z) = 9z-2 -5z-4 Write a MATLAB code to find and plot the result discrete time signal X5(z) = X1(z)X2(z) + X3(z)X4(z) 02: Hgo MATI

4.5-4. Find the z-transform of the following functions. The results of Problem 4.5-3 -0.6Ts (a) E(s) = = (c) E(s) = (e) E(s) - 68-0.3Ts (s + 1)(s + 2)(s + 3) s² + 25 + 28-1.17s s(s + 2)² s²e-0.3Ts + 2s + 3 s(s+ 2)²(s + 4) (b) E(s) = (d) E(s) (f) E(s) = = 48 s(s+ 2)² (s + 2)²-0.27s s²(s + 1)² -0.75Ts (2s + 7)e (s² + 2s + 5)(s + 3)

The z Transform Chap. 2 Find the inverse z transform of X(z): 2¹(0.5-2¹) (1-0.5z-¹)(1-0.8z-¹)² Use (1) the partial-fraction-expansion method and (2) the MATLAB method Write a MATLAB program for finding x(k), the inverse z transform of X(z) Please solve this problem by Matlab code 72 Problem B-2-9

Find out the Laplace transform of the shifted unit step function ult-a). Use the properties of Laplace transform.

Have 2 seperate questions attached