Using Matlab or some other graphing software create plots of xp(t), xc(t) and the sum x(t) = xc(t) + xp(t) for a driven, damped, sinusoidal oscillator with the following parameters: k = 1 N/m, m = 1 kg, b=0.2.Forxc(t),useA=-1mfortheamplitudeandd=0.Forxp(t),useA=1m/s2 andcalculatethe value of the phase angle d. Generate these graphs for 5 different values of the driving frequency: =!! ,=!! ,=1.1$, =3$,=6.Youshouldhavefiveseparategraphs(with "# appropriate labels) each showing xp(t), xc(t), x(t) = xc(t) + xp(t) and use different line styles so that it is clear which line is which function. What do you observe about the relative amplitudes of the two solutions as increases? Explain. Your HW should include hard copies of graphs along with a brief explanation.