Question: Find the inverse of the following function: s+ 1 F(s) s2 2s + 5 Hint: Find the poles of the function first. [15 marks]

Find the inverse of the following function: s+ 1 F(s) s2 2s 

Find the inverse of the following function: s+ 1 F(s) s2 2s + 5 Hint: Find the poles of the function first. [15 marks] Question 2 A third-order system has a one real zero z = -4 and a two complex conjugate poles p = -1 2j, and a gain factor is K 3. 2.1. Sketch them in the complex plane. (8) 2.2. Find the differential equation representing the system.

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