- Create a main MATLAB script that performs the tasks described below.

- Between each task, place a comment indicating the task your code is performing next.

2. Newton's Method: Pseudocode y-sa) fa ,) I define f(x) define f(x) input x0, tol Solution f(x while (e > to!) x x0-f(x0)/f'(x0) Slope a) Slope f(x en Xi+ 1 = Xi-704) print x Task 2a [15 points Implement Newton's method to solve the equation f(x) = cos(x) e-x = 0 assuming an initial guess value x0 1.0 and a tolerance (If(x)I) of 1x10 Task 2b [10 points] What solution would you get if you used x0 4.0 Is the solution different from what you got for 2a? Why? Task 2c [25 points). In a file named "newtsolver.m" create a function function xn = newtsolver(fcn,dfcndx, x0,tol,nmax), which returns the root for function f(x), which is described by the function handle fen. The function uses Newton's method to find the root of f(x), and the derivative of f(x) is given by the function handle dfcndx. x0 is the initial guess, xn is numerical solution, tol is tolerance for lfen(x1, and nmax is the maximum number of iterations allowed Use your function function to solve f(x) = cos(x) e-x-0, for x0-1.0, tol = 1x10-5, and nmax = 20