The following transfer function is not written in a standard form: 2(s + 0.5) G(s) = (s + 2)(2s + 1) e -5s (a) Put it in standard gain/time constant form. (b) Determine the gain, poles and zeros. (c) If the time-delay term is replaced by a 1/1 Pade approximation, repeat part (b). (d) Based on the result of (c), draw the dynamic curve of y(t) with a unit step input qualitatively.

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