Question: please show step by step with explanation 3. (3 points) Consider the transfer function below. G(S) = Y(S) 3(4 - s)e-2s U(s) (s +5)(s +

please show step by step with explanation 3. (3 points) Consider

please show step by step with explanation

3. (3 points) Consider the transfer function below. G(S) = Y(S) 3(4 - s)e-2s U(s) (s +5)(s + 2)(s +0.1) Derive an approximate FOPDT model for this transfer function: a. Using Taylor series approximation b. Using Skogestad's Half Rule c. Assume a unit step change input (U(s) = 1/s). How long will it take to achieve 90% of the change to the final value according to the FOPDT model for the two approximations

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