6.7 write a matlab script (m-file) that executes the simulink simulation for the mechanical system in problem 6.6 for input frequencies ranging from = 1 rad/s (0.16 hz) to = 100 rad/s (15.92 hz) in increments of 1 rad/s. store the ratios of the output/input amplitudes but use only the last one-third of the simulation response data (the so-called steady-state response) for each input frequency [hint: to do this, compute the ratio xend∕xin by using the command max(x_end)/max(x_in) where x_end is the last one-third of the system response x(t)]. plot the output/input amplitude ratio vs. input frequency, and based on your plot, summarize how the mechanical system’s displacement response x(t) varies with input frequency this problem is an example of a system’s frequency response, where the system input is a periodic function (such as a sinusoidal input function).