Question: Problem 1: (30 pts) Consider a single-input single-output system with the following transfer function: K G(s) 4s + 2 When a unit step change is

Problem 1: (30 pts) Consider a single-input single-output system with the

Problem 1: (30 pts) Consider a single-input single-output system with the following transfer function: K G(s) 4s + 2 When a unit step change is applied to the input (x), the steady-state value of the output (y) reaches to 3. a) Find the value of K? b) Determine the time profile for the output, i.e., y(t)=? c) Show that the time required to reach half of the steady-state value is In(4)

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