(a) A system is described in the time domain by the equation: *(t) + 10x(t) + 30x(t) = u(t) Assume that all initial conditions as zero. Find the transfer function of this system, and the steady-state response for an impulse input using the Final Value Theorem. (i) r. Find the time domain response of the system for an impulse input and verify that the response as t → o is the same as that given by the Final Value Theorem. (ii)

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