I AM SO LOST CODING THESE MATH CALCULATORS. this is an advanced math problem and the purpose is to code/create functions to solve certain math problems. Please use MatLab to answer each part. Show the codes, output, examples, and plots to show your code works properly for each part. thank you so much. In this homework, we study the convergence of interval bisection method, Newton's method, and globally convergent Newton's method for solving a nonlinear equation of one variable. 1. First use the MATLAB built-in function fzero to find the solution of the nonlinear equation 22 sin(s) 1=0. Plot the function y=e2 sin(e) 1 on the interval 2 (-10, 10). Write a MATLAB function which returns the function value f(-x) = c 2 sin(a) 1 and its derivative (if needed; see nargout in MATLAB) for a given input I. 2. Write a MATLAB function which implements the Interval Bisection method to solve (1). In the implementation, you can choose the initial interval as, for example, [-8. 8). The iteration can be stopped when || (0)|