Civeng2E03 Matlab Assignment|Variables Assessment Answer

Write a script file that does the following (in this order):1)Define variables L = length of the beam,w0= magnitude of load,I = moment of inertia, E = modulus of elasticitywith the values given in this assignment.2)Define an anonymous function that computesthe deflection, y(x), inthe beam based on the given equationabove. Thisfunction should take one input parameter, x, and should allow x to be a vector (i.e. use dot notation).3)Define a second anonymous function that computes the rotation, θ = dy/dx, based on the first function y(x).This function should take one input parameter, x, and should allow x to be a vector (i.e. use dot notation).4)Define a third anonymous function that computes the derivative of rotation = dθ/dx = d2y/dx2.This function should take one input parameter, x, and should allow x to be a vector (i.e. use dot notation).You may or may not need this depending on your root finding method.5)Plot a curve for deflection and rotation on two separate sets of axes (either on thesame figure or two figures).Make sure that thegraph has a title, labels on the axes, and turn on the grid.This will allow you to determine your initial guesses.6)Define your initial guess(es)for your root finding method.7)Call your root finding functionfrom Part 1 to find the location of maximum deflectionwithin the beam.8)Plot the approximation error(eps_a)from your root finding against iteration number to show how the function converges as the number of iterations increases.Make sure that the graph has a title, labels on the axes, and turn on the grid.9)Check whether the maximum deflection of the beam is less than the code specified limit of L/360