use matlab

Problem 2: Suppose we want to find the roots of f(x) = exp(cos(x) + cos(x2)) + cos(x) 1 = 0 (2) where x (0, 2). Set tolerance e = 10-6, 1. Find out the theoretical iterative step for convergence. Write down the specific derivations. (You can directly use/duplicate the derivation process in the Lecture 5-09 slides.) 2. Program the Bisection iterative method to solve this equation; output the initial guess, iterative steps, results at each iterative step, and the con- verged result. Round the results at each iterative step and the converged result to 4 decimal places. 3. Error plot. Plot X axis: iterative step number k, Y axis: the absolute value of f(xk), where k represents iterative step. Round \f(xk)| to 4 decimal places. Problem 2: Suppose we want to find the roots of f(x) = exp(cos(x) + cos(x2)) + cos(x) 1 = 0 (2) where x (0, 2). Set tolerance e = 10-6, 1. Find out the theoretical iterative step for convergence. Write down the specific derivations. (You can directly use/duplicate the derivation process in the Lecture 5-09 slides.) 2. Program the Bisection iterative method to solve this equation; output the initial guess, iterative steps, results at each iterative step, and the con- verged result. Round the results at each iterative step and the converged result to 4 decimal places. 3. Error plot. Plot X axis: iterative step number k, Y axis: the absolute value of f(xk), where k represents iterative step. Round \f(xk)| to 4 decimal places