1.1. Find the Laplace transform of the below equation: f(t)=t 1.2. A third-order system has a one real zero z=1 and two complex conjugate poles p=21j3, and a gain factor is K=1. Find the differential equation representing the system [15 marks] Question 2 Given the block diagram below: 2.1. Find the overall transfer function by hand. 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. dt2d2y+3dtdy=2y=r(t)