(Solution) - For the process described by the exact transfer function -(2025 Original AI-Free Solution)

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For the process described by the exact transfer function

(a) Find an approximate transfer function of second-order-plus-time-delay form that describes this process.
(b) Using Simulink, plot the response y(t) of both the approximate model and the exact model on the same graph for a unit step change in input x(t).
(c) What is the maximum error between the two responses? There does itoccur?