You are given the following transfer function, 20 (s2 + 5s + 25) H(s) = (s + 0.2) (s2 + 5s + 2500) (a) Plot the bode diagram clearly showing the slopes of the asymptotes and the height of any peaks. Compute the exact phase and magnitude at the frequencies o= 5 rad/s, o = 50 rad/s. Specifically plot the points at o = 5 rad/s, o = 50 rad/s and clearly mark these points on your Bode plot. Explain why your results make sense with regards of heights of peaks and asymptotes. Your explanation is important. (Do not use Matlab! A Matlab graph will not be accepted) (b) The input to the system is x(t) = 10 sin(100t), what is the output, y(t) in steady state? Roughly sketch both the input and the output on the same graph. Explain your sketch based on the Bode diagram.

Please could you use Matlab to solve this question and You must submit the Matlab Simulink blocks you used as well as resulting outputs/plots in your answers. Please view the images attached for the question

I am very lost on the steps it takes to complete these problems from start to finish, If at all possible can you please give a fairly detailed explanation of the steps you took to solve the problem. KCL, and KVL still confuse me and I'm unsure of how to get the equations on my own. I'm attempting to gain some helpful practice but find it hard when I don't understand how the equations were acquired.