Consider the function f(x) = x 2 + cos(πx) − 5. (a) matlab has a built-in function for root-finding problems called fzero. to use fzero, you first need to create a function handle which can be done with an anonymous function. if your function handle is named fun, then you can calculate the root x using the following line of code x = fzero(fun, x0); where x0 is an initial guess. use fzero and an initial guess of x0 = 5 to find the root of f(x). we will consider this to be the "exact solution" for the rest of the problem. save the exact solution in a9.dat. (b) now find the root using newton’s method. use a maximum of 50 steps, a tolerance of 10−9 , and an initial guess of x0 = 5. calculate the error by subtracting the newton’s method solution from the exact solution obtained in part (a) and then taking the absolute value. make a 1 × 2 row vector that contains the error and the number of steps of newton’s method that were performed: error number of steps . save this vector in a10.dat