Question

Write a program that will plot the following functions using all the following commands: mesh, Surf, contour and counter3. Add titles, labels etc. to each plot. Separate the plot by "pause" command

a. z= x³ – y³ - 10 < x, y < 10

Answer 1

The program requested involves plotting the function z = x³ - y³ within MATLAB using four different types of plots and including titles, labels, and pauses between each plot.

Step-by-step explanation:

The student has asked for a program that plots a three-dimensional function z = x³ − y³ using the commands mesh, surf, contour, and contour3 in MATLAB. The domain for x and y is from -10 to 10. It is important to add titles, labels, and appropriate axis scales to each plot. The 'pause' command should be used to separate the plots to allow for viewing each one individually.

Here's an example of what the code could look like in MATLAB:

[x, y] = meshgrid(-10:0.5:10, -10:0.5:10);
z = x.^3 - y.^3;

figure;
mesh(x, y, z);
title('3D Mesh Plot of z = x^3 - y^3');
xlabel('X axis');
ylabel('Y axis');
zlabel('Z axis');
pause;

surf(x, y, z);
title('3D Surface Plot of z = x^3 - y^3');
xlabel('X axis');
ylabel('Y axis');
zlabel('Z axis');
pause;

contour(x, y, z);
title('Contour Plot of z = x^3 - y^3');
xlabel('X axis');
ylabel('Y axis');
pause;

contour3(x, y, z);
title('3D Contour Plot of z = x^3 - y^3');
xlabel('X axis');
ylabel('Y axis');
zlabel('Z axis');
pause;