10 Q4. The transfer function of a system is given as H(s) The roots of the denominator D(s) are D(S) calculated as Si=-1, S2,3=-2+4i. F(t) is input and x(t) is the output of the system. a) Write one of the forms of the input which causes the resonance condition to occur. b) Write the Laplace transform of the output X(s) to a step input with magnitude 4 [N]. Find the steady state value of the output. c) Find the output x(t) to the input F(t) = 5e-tcos(2t - 1.4). Write the MATLAB code to plot x(t) by using proper At and ts values. d) Find the output x(t) to the input F(t) = 5e-t + 2e-3t