For the three-dimensional implicit function

(x² + y² +z²) − 6xyz = 0

Use the MATLAB function fimplicit3 to plot this function for x and y in the range x = − 4 to 4; y=−4 to Use the MATLAB polar scatter function to plot the data given by:

r =cos (θ) sin (θ) for θ =−2π to 2π

using the MATLAB polarscatter function. Replot this data again but introducing extra parameter values so that the face color is green and the size of the points is 200. Draw a polar histogram figure for the data:

xi = 2πri  I = 1,2,3,…,100

where r_i is a random number in the range 0 to 1. Using the MATLAB polarhistogram function you should use 15 bins and the necessary parameters to provide a face color red and transparency of 0.5.