Question

Question 8. 1) Consider the surface 8x - 77+ 6xy - 2 = 1. Draw the surface in MATLAB for -3<<3, -3<y <3. Attach the MATLAB code and picture. 2) Consider the surface 3x2 + 3y2 - x2 = 3. Change the equation to cylindrical coordinates (0,r, z) and draw the surface in MATLAB for 0 <0 < 2, -35% 53. Attach the MATLAB code and picture.

Answer 1

(1)

%%% Matlab code

clc;
close all;
clear all;
format long
[x,y]=meshgrid(-3:0.01:3,-3:0.01:3);
z=8*x.^3-7*y.^3+6*x.*y-1;
surf(x,y,z)
xlabel('x');
ylabel('y');
zlabel('z');

OUTPUT:

400 200 0 N -200 400 -600 4 2 2 0 -2 4 4 X y

(2)