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. ii) Find the value of the first root of the denominator using bisection technique with 5 iterations knowing that the first root exists in the interval [0, -1.25]. (Show the numerical solution using both, hand-solution, and MATLAB). Find the value of the first root of the denominator using Newton-Raphson technique knowing that the first root exists in the interval [0, -1.25]. (use x=0 as a starting point). (Show the numerical solution using both, hand-solution and MATLAB). iii)