/nExercises: 1. Find inverse Laplace transform of F=3/[s* (s^2+2* s+5)] 2. Solve y(t) for the following state-space system: 3 [8 -2 1 4 x + L7 9 10] 3. Plot x1,

x2, and x3, and y from exercise 2 separately and submit the screenshots for each plot x = 0 = L]₁ 1 u(t); = [2 1 3]x; x(0) = DO 4. Repeat the solution for Circuit 1 above by swapping the capacitor with the inductor and find the transfer 1₂ (s) function G(s) where 1₂ (s) is now the current in the inductor V(s)