Please use MATLAB

Experiment 2.2 Objectives To learn to use MATLAB and the Symbolic Math Toolbox to (1) find Laplace transforms for time functions, (2) find time functions from Laplace trans- forms, (3) create LTT transfer functions from symbolic transfer functions, and (4) perform solutions of symbolic simultaneous equations. Minimum Required Software Packages MATLAB, the Symbolic Math Toolbox, and the Control System Toolbox 10 Prelab 50 TH 20 1. Using a hand calculation, find the Laplace transform of: f(r) 0.0075 -0.00034e (22) +0.087e 2 sin(22t) -0.0072e LP 2. Using a hand calculation, find the inverse Laplace transform of 2(s 3)(s +5)(s +7) s (s+ 8) (s2 10s 100) 3 Use a hand calculation to solve the circuit for the loop currents shown in FIGURE P2.42 Figure P2.42