number 2 (ignore number one) instrustions are on the top of the page

MAT 433: Numerical Analysis Name: Assignment 6: Newton-Raphson & Fixed Point Due: Thursday, February 27 Show all work necessary to justify your solutions. If computer work is involved, please provide the code that produces the reported results. 1. Use the Newton-Raphson method to find the unique solution in the indicated interval with tolerance e=0.0001. Display the result of each iteration in a table. (a) x = e-> [0,1] (b) x = cost, [0,1] c) cos x = e. [1,2] (d) x = est, [1,2] 2. As you know, the nonlinear equation 3 - 6x +0.15 sin(200x) = 0 has a root in the interval (0.5, 1.0). For each of the following initial guesses, co, perform the Newton-Raphson method to find the root with tolerance e=0.0001. Explain what happens in each case. (a) c = 0.75. (b) co = 0.70. (e) c = 0.72 3 Use the Newton-Raphson method to solve