Phase (deg) 3. Here is the Bode plot of some system G(s). Answer the questions below. Bode Diagram Gm-Inf, Pm-inf 88 Magnitude (dB) Frequency (rad/sec) a. If an input 2cos(3t) is given to the system G(s) what will be the steady state output y(t)? Approximate it based on the graph. b. If a step input is given to the system what will be the steady state output y(t)? c. What is the dc-gain of this system in dB? Also convert the dB value into the corresponding "number," e.g. 40dB = 100. d. From the Bode plot above gather the magnitude and angle information at different frequencies and then plot the Nyquist plot by hand. Don't find the TF first, that's the part below, just directly use the angle and magnitude data to plot the Nyquist. e. Approximately find the TF of the system G(s). Provide your reasoning.

Fig: 1