nergy of the mass-spring system is given by the sum of the kinetic energy and the ial energy. In the absence of damping, the energy is conserved. dd commands to LABO5ex1 to compute and plot the quantity E=mv² + ky² s a function of time. What do you observe? (pay close attention to the y-axis scale nd, if necessary, use ylim to get a better graph). Include at least one plot. Does he graph confirm the fact that the energy is conserved? how analytically that = 0. (Note that this proves that the energy constant). dd commands to LAB05ex1 to plot v vs y (phase plot). Include the plot. Does the urve ever get close to the origin? Why or why not? What does that mean for the mass-spring system? Commen Part (b) write out main steps here: • first differentiate E(1) with respect to using the chain rule. then make substitutions using the expression for x and using the differential equation