Question 1 1.1. Find the Laplace transform of the below equation: () = (5) 1.2. A third-order system has a one real zero = 1 and two complex conjugate poles = 13 2 , and a gain factor is = 1. Find the differential equation representing the system (10) [15 marks] Question 2 Given the block diagram below: Figure 1. Block diagram 2.1. Find the overall transfer function by hand. (7) 2.2. Write a code using OCTAVE to find the gain value, poles and zeros of the transfer functions (9) 2.3. Using OCTAVE plot the poles and zeros of the above equation (9) [25 marks] Question 3 A production process is represented by the following second-order differential equation.