Help me, please!

1. Find the Laplace transform of the following periodic function f(1) 4 2.- Solve the following equation using the Laplace transform y" + y = o(t - 27) + 8(t - 4T), y(0) = 1, y'(0) = 0 3.- Solve the following system of equations using the Laplace transform dx + 3x , dy dt dt =1 dx dy dt dt x(0) = 0, y(0) = 0 4.-| Solve the following system of equations using the Laplace transform dx dt = 4x - 2y + 2%(t - 1) dy = 3x - y+ u(t- 1) dt x(0) = 0, y(0) =1/2