A spring–mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of(3 cos 3t−2 sin 3t)N, determine the steady state response. Express your answer in the form R cos(ωt−δ).