Trabajo calculo multivariable

Tema:Graficas Matlab

Presentado a:Prof. Carlos Martinez Acua

Presentado por:Alan Macias Ocampo

Grupo: 03

Universidad Popular del Cesar1. Elipsoide

Cdigos MatlabZa=-2:0.1:2;Ya=-2:0.1:2;[Z, Y]=meshgrid(Za,Ya);X=real(sqrt(-Z.^2-Y.^2+1));

plot3 (X, Y, Z)axis('square')surf(X, Y, Z)shading flat

hold onX=-real(sqrt(-Z.^2-Y.^2+1));surf(X, Y, Z)shading flatplot3 (X, Y, Z)

title (['elipsoide'])xlabel('Eje x');ylabel('Eje y');zlabel('Eje z');grid on

Grfica 2. Hiperboloide de una hoja

Cdigos Matlab:Xa=-2:0.1:2;Ya=-2:0.1:2;[X, Y]=meshgrid(Xa,Ya);Z=real(sqrt(X.^2+Y.^2-1));

plot3 (X, Y, Z)axis('square')surf(X, Y, Z)shading flat

hold onZ=-real(sqrt(X.^2+Y.^2-1));surf(X, Y, Z)shading flatplot3 (X, Y, Z)

title (['hiperboloide de una hoja'])xlabel('Eje x');ylabel('Eje y');zlabel('Eje z');grid on

Grafica

3. Hiperboloide de dos hojas

Cdigos Matlab:Xa=-2:0.1:2;Ya=-2:0.1:2;[X, Y]=meshgrid(Xa,Ya);Z=sqrt(X.^2+Y.^2+1);plot3 (X, Y, Z)axis('square')surf(X, Y, Z)

hold onZ=-sqrt(X.^2+Y.^2+1);surf(X, Y, Z)plot3 (X, Y, Z)

title (['hiperboloide de dos hojas'])xlabel('Eje x');ylabel('Eje y');zlabel('Eje z');grid on

Grafica

4. Cono elptico

Cdigos Matlab:Xa=-2:0.1:2;Ya=-2:0.1:2;[X, Y]=meshgrid(Xa,Ya);Z=sqrt(X.^2+Y.^2);plot3 (X, Y, Z)axis('square')surf(X, Y, Z)shading flat

hold onZ=-sqrt(X.^2+Y.^2);surf(X, Y, Z)shading flatplot3 (X, Y, Z)title (['cono eliptico'])xlabel('Eje x');ylabel('Eje y');zlabel('Eje z');grid on

Grafica

5. Paraboloide elptico

Cdigos Matlab:Xa=-2:0.1:2;Ya=-2:0.1:2;[X, Y]=meshgrid(Xa,Ya);Z=X.^2+Y.^2;

surf(X, Y, Z)shading flattitle ('paraboloide eliptico')xlabel('Eje x');ylabel('Eje y');zlabel('Eje z');grid on

Graficas

6. Paraboloide hiperblica

Cdigos Matlab:Xa=-2:0.1:2;Ya=-2:0.1:2;[X, Y]=meshgrid(Xa,Ya);Z=-X.^2+Y.^2;

plot3 (X, Y, Z)axis('square')surf(X, Y, Z)

title (['paraboloide hiperbolico'])xlabel('Eje x');ylabel('Eje y');zlabel('Eje z');grid on

Grafica