Implement bisection, Newton, and secant methods for solving non-linear equations in one dimension, and test your implementations by finding at least one root for each of the following equations. What termination criterion should you use? What convergence rate is achieved in each case? In python and can it also have a termination criterion. (a) x^3 2x 5 = 0. (b) e^x = x. (c) x sin x = 1. (d) x^3 3x^2 + 3x 1 = 0.