ASSIGNMENT Submit your MATLAB script via Canvas using the MATLAB Grader. Label each part and include comments where applicable. PROCEDURE From Example 14 in Chapter 4 of Downy: 4+1=X+oy-Xd Ya=+X--yldt =+ X-bz, de Let N be the number of elements in each array and n be the integer index of each element from 1: N. Part 1: Programming the System of Equations Write a script that computes elements of the sequences x, y, and z and stores them in arrays named X, Yand Z. Use the initial values X[= 1, Y[T = 2. and Z 1 = 3. with parameter values of s = 10,b=8/3, r=28, and with dt = 0.01 Set N initially to 10 while testing your script. Initial values and parameters should be defined as variables at the beginning of the script. All array variables must be pre-defined (i.e., the size of a variable cannot change after the variable has been defined). Part 2: Visualizing the System Plot arrays X, Y. and Z using the plot3 function. Add a title and label the axes. Your title must include all initial values and parameters as formatted text (hint: use sprintf inside the title command). Run the program with N = 100, 1000, 10000. Submit your script with N = 10000. An example plot showing the expected output is provided ibelow. Loren AS 4.2.2003 2000-2007, 28,00 Script Save e Reset ES MATLAB Documentation 1 Title: Laboratory 4 2 Author: 3 Date: 4 Description: This script simulates a system of equations describing the 5 % Lorenz attactor and plots the results as a 3D graph 7 N = 18000; Xsets the number of tine steps to simulate 8 Sigma = 10; Xparameter 1 9 b = 8/3; Xparameter 2 10 = 28: Xparameter 3 11 dt = 0.01; Xtime step 12 13 your code goes here Run Script ? Assessment: Submit X, Y, and Z are pre-allocated to the final size Correct values in X Correct values in Y Correct values in Z 3D plot generated 3D plot fully annotated