Linear and Quadratic Convergence in Newton's Method Let's return to solving the same equations f(x) = 0 as in Project 1, where we defined (A) f(x) = 6 sin(2x3 1) 8x9 11x6 6x3 5 (B) f(x) = 6 sin(2x3 1) 8x9 12x6 6x3 5 (C) f(x) = 6 sin(2x3 1) 8x9 13x6 6x3 5 As you recall, each version has one positive solution, which is between 0 and 1, that we are looking for. In this project, we will attempt another approach, which will be more efficient, but will also fail to get 6 correct digits for one of the versions. For each version, you are to find the solution using Newton's method, and study the convergence to the solution. 1. For each version, use Newton's method to calculate the root to as many correct decimal places as you can. For each root, underline or highlight the digits