16.6Ejercicio 21.-clearclcclfang= 0:0.1:3*pi;phi=-6:0.1:9;[ang,phi]=meshgrid(ang,phi);x=2.*sin(phi).*cos(ang);y=2.*sin(phi).*sin(ang);z=2.*cos(phi);%para graficar superficies se le ponen meshsurf(x,y,z)shading flat

hold onang2= 0:0.1:3*pi;z1=-4:0.1:4;[ang2,z1]=meshgrid(ang2,z1);x1=z1.*cos(ang2);y1=z1.*sin(ang2);surf(x1,y1,z1)shading flatalpha 0.3 %transparenciashold ont=-4.5:0.1:1.5;x2=t;y2 =;z2=sqrt(4-x2.^2-y2.^2);plot3(x2,y2,z2,'rp')

15.137)clearclcclft=0:.1:2*pi;x=cos(t);y=sin(t);z=t;plot3(x,y,z)

17)clearclcclf

x1=-2:0.1:2;y1=-2:0.1:2;

[x1,y1]= meshgrid(x1,y1);z1=y1+1;surf(x1,y1,z1)

23)clearclcclfang= 0:0.1:3*pi;z=0:0.1:7;[ang,z]=meshgrid(ang,z);x=4.*cos(ang);y=4.*sin(ang);%para graficar superficies se le ponen meshsurf(x,y,z)shading flat

%mesh(x,y,z)hold onx1=-5:.1:5;y1=-5:.1:5;

[x1,y1]= meshgrid(x1,y1);z1=5+y1.*0;mesh(x1,y1,z1)%surf(x1,y1,z1)shading flatalpha 0.1%transparenciashold ont=0:0.1:3.*pi;x2=4.*cos(t);y2=4.*sin(t);z2=5+y2.*0;plot3(x2,y2,z2,'rp')

33)clearclcclfang= 0:0.1:3*pi;z=-6:0.1:9;[ang,z]=meshgrid(ang,z);x=2.*cos(ang);y=2.*sin(ang);%para graficar superficies se le ponen meshsurf(x,y,z)shading flat

%mesh(x,y,z)hold onx1=-5:0.1:5;y1=-5:0.1:5;

[x1,y1]= meshgrid(x1,y1);z1=4-x1-2.*y1;%mesh(x1,y1,z1)surf(x1,y1,z1)shading flatalpha 0.3 %transparenciashold ont=0:0.1:3.*pi;x2=2.*cos(t);y2=2.*sin(t);z2=4-x2-2.*y2;plot3(x2,y2,z2,'rp')

37)clearclcclfx=-1:.1:1;z=-2:.1:2;[x,z]= meshgrid(x,z);y=4.*x+z.^2;%para graficar superficies se le ponen meshplot3(x,y,z)hold onx1=-5:.1:5;y1=-5:.1:5;[x1,y1]= meshgrid(x1,y1);z1=1+y1.*0;mesh(x1,y1,z1)shading flatalpha 0.1%transparenciashold onz2=-5:.1:5;y2=-5:.1:5;[y2,z2]= meshgrid(y2,z2);x2=1+y1.*0;mesh(x2,y2,z2)hold onx3=-5:.1:5;y3=-5:.1:5;[x3,y3]= meshgrid(x3,y3);z3=y1.*0;mesh(x3,y3,z3)shading flatalpha 0.1%transparenciashold onz4=-5:.1:5;y4=-5:.1:5;[y4,z4]= meshgrid(y4,z4);x4=0+y1.*0;mesh(x4,y4,z4)

15.1.-7)clcclfcleart=0:0.1:pi/2;x=sqrt(2).*sin(t);y=sqrt(2).*sin(t);z=2.*cos(t);plot3(x,y,z)grid on

13.119)clearclcclfang= 0:0.1:pi;z=0:0.1:7;[ang,z]=meshgrid(ang,z);

x=1.*cos(ang);y=1.*sin(ang);%para graficar superficies se le ponen meshsurf(x,y,z)hold onshading flat

%mesh(x,y,z)hold onang1= 0:0.1:pi;z1=0:0.1:7;[ang1,z1]=meshgrid(ang1,z1);x1=1.*sin(ang1);y1=1.*cos(ang1);plot3(x1,y1,z1)shading flatalpha 0.1%transparencias

clearclcclft=-10:.1:10x=2.*sin(t);y=5.*t;z=2.*cos(t);plot3(x,y,z)