Complete all three questions. Show as much work as possible. 1. Calculate four iterations of Newton's Method to approximate a zero of the function f (x) =x +x-1 using the initial guess of x = 1. 2. Find all relative and absolute extrema for the function f(x) =x*-12x on the closed interval |0, 4] . 3. Determine if Rolle's Theorem can be applied to f(x) = x -8x +5on the closed interval [2,6]. If it can be applied, find the value of c in the open interval (2, 6) such that f'(c) =0