Hi everyone! could I get the handwritten solutions for question 1 through 10 to verify with my code. Thanks in advance!

Perform the following tasks using MATLAB and verify using Laplace transform techniques, i.e. submit MATLAB code and handwritten (or typed) solutions to the following problems: Compute the Laplace transforms of the following signals: 1. X2(t) = sin(bt) exp(-at) 2. X3(t ) (t) = 4e-0.2tu(t - 3) 3. X4(t) = 3[u(t - 2) - u(t - 3)] 4. Xs(t) = 3t[u(t - 1) - u(t - 3)] Compute the inverse Laplace transforms of the following: 5. F (s) = 2(s+1) 1 39 6. F2(S) = (s+2)2(s2+45+13) 30-5 7. F3(S) = s(s+3) Consider the LTI systems described by the following differential equations and determine the unit impulse response h() and the unit step response s() for each system, assuming zero initial conditions: 8. d' y (t) +5 dy (t) dt2 -+ 4y(t) = 2x(t) day(t) + 5 dy (t) + 4y(t) = 24x dx(2 + 6x(t) dt2 dt 10. day(t) + 3 d'y(t) + 4- dr3 dy(2) + 2y(t) = 6x(t) dt2 dt