with(plots);
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implicitplot3d( (4)*x^2 + (1)*y^2 + (5)*z^2 = 1, x=-1..1, y=-1..1, z=-1..1, axes = boxed, shading = ZHUE);
Elliptic Paraboloid
implicitplot3d( z/1 = x^2/4 + y^2/9, x=-3..3, y=-4..4, z=0..3 , axes = boxed, shading = ZHUE );
Hyperbolic Paraboloid
implicitplot3d( z/1 = x^2/4 - y^2/9, x=-3..3, y=-4..4, z=-3..3, axes = boxed, shading = ZHUE);
Cone (Draw this one on paper. There is some error).
implicitplot3d( z^2/(1/1) = x^2/1 + y^2/1, x= -1..1, y= -1..1, z=-1..1, axes = boxed, shading = ZHUE);
Hyperboloid of One Sheet
implicitplot3d( x^2/4 +y^2/9 - z^2/1 = 1, x=-4..4, y=-4..4, z=-1..1, axes = boxed, shading = ZHUE);
Hyperboloid of Two Sheets
implicitplot3d( -x^2/4 -y^2/9 + z^2/1 = 1, x=-4..4, y=-4..4, z=-4..4, axes = boxed, shading = ZHUE);
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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=