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(a) The impulse response of a system is given as: c(t) = 2t2 – 4e-4t[cos(3t) -7sin(4t)]...

(a) The impulse response of a system is given as: c(t) = 2t2 – 4e-4t[cos(3t) -7sin(4t)] t > 0. Without applying LT (shortcut) find all closed loop poles (show them in s-plane). Also find all time constants, damping ratios, and damped/undamped frequencies.

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