A certain coil spring having spring constant 10 lb/ft is sus-pended from the ceiling. A 32-lb weight is attached to the lower end of the spring andcomes to rest in its equilibrium position. Beginning at t = 0 an external force given by F (t) = sin t + (1/4) sin 2t + (1/9) sin 3t is applied to the system. The medium offers a resistance in pounds numerically equal to twice the instantaneous velocity, measured in feet per second. Find the displacement of the weight as a function of the time.