1 Use the bisection method to find an approximate root of Uz z x-1 in the interval [1,4 A. Show that f()-0 has a root on the interval 1,4]. B. Estimate the number of iterations needed for the error to be less than 10-10, C. write a computer program to implement the bisection method with error tolerance tol 10-10 Print out () the approximate solution; (i) the number of iterations; iii the value of f at the approximate solution 2. Given a function g(z) = + A. Show that g has a fixed point in [0,2 and the fixed point iteration converges for any initial values chosen in [0, 2 (hint: since g' is a linear function, the maximum of Ig'(x) on an interval occurs at the two end points of the interval). B. Write a compute program to compute the fixed point with tolerance tol = 10-9. You may choose To-0.5 as the initial value. Print out i) the approximate solution the number of iterations;) the value of fat the approximate solution