To better understand under damped motion, use a computer to plot x(t) of Equation 3.40 (with A = 1m) and its two components [e –βt and cos (w1t – δ)] and comparisons (with β = 0) on the same plot as in Figure 3-6. Let w0 = 1 rad/s and make separate plots for β2/w20 = 0.1, 0.5, and 0.9 and for δ (in radians) = 0, π/2, and π. Have only one value of δ and β on each plot (i.e., nine plots). Discuss the results.