The following set of equations is based on a famous example of a chaotic system, the Lorenz attractor x + (yi-xi) dt Xi+1 = Yi+1 = Zi+1 == Yi+[xi(rzi) - Yi] dt Zi+(xiyibzi) dt 1. Write a script that computes the first 10 elements of the sequences X, Y, and Z and stores them in vectors named X, Y, and Z. Use the initial values X = 1, Y = 2, and Z r = 28, and dt = 0.01. = 3 with the values = 10, b = 8/3, 2. Read the documentation for plot3 and comet 3, and plot the results in three dimensions. 3. Once the code is working, use semicolons to suppress the output and then run the program with sequence lengths of 100, 1,000, and 10,000. Activate Win