Task 2: Your supervisor asked you to analyse the following signal processing system that exists in an advanced communication system. The transfer function of this system is expressed in the Laplace...

Extracted text: Task 2: Your supervisor asked you to analyse the following signal processing system that exists in an advanced communication system. The transfer function of this system is expressed in the Laplace domain as follows: Y(s)/X(s) = 1/ s^5 + 15s^4 + 85s^3 + 225s^2 + 274s + 120. For this system, we are interested in finding the roots of the denominator of H(s). This is needed to find the inverse Laplace transform and to understand the function behaviour in the time domain. However, it's hard to find an analytical solution for high order systems using trivial methods, therefore, you need to solve such systems using numerical methods. Y (s) X(s) 1 H(s) s5 + 15s4 + 85s³ + 225s² + 274s + 120 Sketch the function of the denominator (s + 15s4 + 85s³ + 225s? + 274s + 120) and estimate the roots of the sketched function using a graphical estimation method. i)