Question 22 (10 marks total) Roots of nonlinear functions can be found using the Newton-Raphson method. For example, the roots can be found by iteratively solving a tangent line's intersection with the r-axis and projecting back to the function valuethis is one iteration of the Newton-Raphson method. The function y is plotted below: 70 60 50 30 20 10 10 0.5 0.5 1.5 2.5 22.a) Using a for loop, write pseudocode to implement the Newton-Raphson method to compute (6 marks) 22.b) The value of y can be used as a tolerance on the solution. Use this to implement the Newton- Raphson method with a while loop that returns the value when a predefined tolerance level is met. (4 marks) the roots of y2 for N iterations, given a starting point of 2