How do you use contour if you only know f(x,y,z) but not z(x,y)?

1 Ansicht (letzte 30 Tage)
The question has given the function f(x,y,z), domain, range of f(x,y,z) and f(x,y,z) = 0. Then it asks me to use contour to plot the values of x and y for different values of z. I browsed how to use contour but the website only shows that if you know function z(x,y), so I tried to solve z in terms of x and y but I think it did not work for the given f(x,y,z).
Here is the function:
2*cot(x)*((z^2*sin(x)^2-1)/(z^2*(1.4+cos(2*x))+2))-tan(y)=0
Thank you!

Akzeptierte Antwort

darova
darova am 13 Sep. 2021
[x,y,z] = meshgrid(-10:10); % x y z range
f = x + y.^2 - z.^2; % function f(x,y,z)
[f,v] = isosurface(x,y,z,f,0); % extract faces and vertices
% extract points
x0 = v(:,1);
y0 = v(:,2);
z0 = v(:,3);
ii = z0 > 0; % build contour for z > 0 only
[x1,y1] = meshgrid(-10:10); % new range for contour
z1 = griddata(x0(ii),y0(ii),z0(ii),x1,y1); % interpolate to create matrix
contour3(x1,y1,z1,'linewidth',2)
P1.faces = f;
P1.vertices = v;
P1.facecolor = 'r';
P1.edgecolor = 'none';
patch(P1)
light

Weitere Antworten (0)

Kategorien

Mehr zu Lighting, Transparency, and Shading finden Sie in Help Center und File Exchange

Produkte


Version

R2021a

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by