Using the Bode plot shown below, estimate the frequency response to the following inputs: a) u(t) = 3 cos 4t b) u(t) 0.5 sin 40t c) u(t)= 10 cos 400t After doing the above, derive the transfer function for the system that has this Bode plot. Magnitude (dB) Phase (degrees) -20 -30 -40 -50 10⁰ 0 -15 -30 -45 -60 -75 -90 100 10¹ 101 Frequency 10² 10² 103 103

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