Assume b=4, m=1, k=4.b)use the roots function in matlab to find the characteristic rootsc)plot the characteristic modes (on one plot) for time t=0: .01: 3 seconds. for complex modes, plot the resulting exponentially weighted sinusoid. d) determine and plot the zero-input response assuming the initial conditions: y(0) = 1, dy(0) = -1. in class we will learn how matlab can us solve the system of equations for the constants. plot the zero input response for time t=0: .01: 3 seconds. f)determine the impulse response of the system. g)plot the impulse responses of parts 1-3 on the same plot for t=0: .01: 3