Question

Please help me with this MATLAB programming problem! Im using MATLAB 2018 if that helps.

Then we can use the cylinder function to revolve those profiles around the z-axis and plot them. t Now revolve it around the z-axis figure (4) x1,yl,z1 cylinder (profilel) clf: surf (xl, yl, z1) axis vis3d; shading faceted; colormap (jet) xlabel ) ylabel (Cy) zlabel (z 02 [x2.y2.z21cylinder (profflez): hold on: surf (x2, y2, z2) 10 -10 10 Note that cylinder does not maintain the height of the profile along the z-axis when it revolves things. It assumes the profile data is evenly spaced and it fits it in a height that goes from 0 to 1 ME021-Engineering Computing Spring 2019 We could pretty easly create our own version of the cylinder function that also takes the z-axis data and preserves it when generating the plot data. For example, I wrote cylinder2.m (available among our CatCourses files) to do just that. % using the net version of cylinder figure (5) x1.yl,z11 cylinder2 (profilel,zvalsl) cle: surf (xl, yl. z1) axis vis3d; shading faceted: colormap (parula) xlabel ('x'); ylabel ('y) zlabel 'z [x2.y2,z21 10 cylinder2 (profile2, zvals2) hold on: surf (x2, y2. z2) hold ofE 10 -10

Answer 1

MATLAB Code:

close all
clear
clc

[x,y] = meshgrid(linspace(-10,10,100)); % creating a 2d mesh for (x,y) locations
a = 0.1;
z = sin(sqrt(x.^2 + y.^2)) ./ (a + sqrt(x.^2 + y.^2));
surf(x,y,z)
xlabel('x'), ylabel('y'), zlabel('z')
title('Surface Plot')

Plot:

Surface Plot 0.8 0.6 N 0.4 0.2 0.2 10 10 -5 -5 10 -10