Plot the surface z = −cosx cosy e−√x2+y2/4 |x| ≤ 5, |y| ≤ 5using surf , surf c and surf 1.

To plot the surface z = −cosx cosy e−√x2+y2/4 for |x| ≤ 5, |y| ≤ 5 using surf, surf c and surf 1 in MATLAB, you can follow these steps:

Step 1: Define the range of x and y. Since |x| ≤ 5 and |y| ≤ 5, x and y range from -5 to 5. You can use the linspace function to generate vectors for x and y.

x = linspace(-5,5,100);
y = linspace(-5,5,100);

Step 2: Use the meshgrid function to generate a grid of x and y values.

[X,Y] = meshgrid(x,y);

Step 3: Define the function z = −cosx cosy e−√x2+y2/4.

Z = -cos(X).*cos(Y).*exp(-sqrt(X.^2 + Y.^2)/4);

Step 4: Use the surf function to create a 3-D shaded surface plot.

surf(X,Y,Z);

Step 5: To use surf c, which adds a colorbar to the plot, you can use the colorbar function.

surf(X,Y,Z);
colorbar;

Step 6: surf 1 is not a valid MATLAB command. If you want to plot the surface with a colormap, you can use the colormap function.

surf(X,Y,Z);
colormap jet; % or any other colormap you prefer

Remember to include title, xlabel, ylabel, and zlabel commands to properly annotate your plots.