Using mathlab

Manning Equation is an empirical equation that describes the relationship between flow of fluid in a channel and the channel geometry, slope, and a roughness coefficient. For an open channel conduit, the Manning equation can be written as: VS(BH)5/3 Q= n(B + 2H)2/3 Where Q = flow (m/s), S = slope (m/m), H = depth (m), and n = the Manning roughness coefficient. Find H given Q = 5, S = 0.0002, B = 20, and n = 0.03. Perform the computation until an is less than as = 0.05%, Write a matlab script that performs these following tasks: Task 1: Manipulate the above equation and find the root graphically. Hint: You will need to plot H vs f(H) Task 2: Write a Matlab script for the fixed-point iteration method to solve this equation. Save your matlab script as Lastname fixedpoint.m If you have more time, learn how to use the newtraph.m function file and convert the fixed point portion of your Matlab script above into Matlab function file. This Matlab function will take input of function, initial guess, acceptable error, and maximum number of iteration and give output of the root, approximate error and number of iteration. Save your function file as Lastname fixedpoint.m