The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a mass-spring-dashpot system with external forcing function. Solve the initial value problem and construct the graph of the position function x(t). mx" + cx' + kx = f(t), x(0) = x'(0) = 0 m = 1, k = 64, c = 0; f(t) = sin 7t if 0 sts 2x, f(t) = 0 ift> 2x Click the icon to view a short table of Laplace transforms. Solve the initial value problem. x(t) = 120 (1 - u(t - 2x)) . (8 sin 7t - 7 sin 8t) Construct the graph of x(t). Choose the correct graph below. O A. O B. O C. D 0.2- Ax 0.2- Ax 0.2- 0.2- 4x 4x 02 -0.2 -02