Hi.

I have a problem with sketching the surface with maple.

The question is Let S be the union of the two smooth surfaces S1 and S2, where S1={(x,y,z) I x^2+y^2=1, 0<=z<=3-sqrt(3)} (I just want to make sure z is bigger than or equal to 0 and smaller than or equal to 3-sqrt(3)) and S2={(x,y,z)l x^2+y^2+(z-3)^2=4, z >= 3-sqrt(3)} (z is bigger than or equal to 3-sqrt(3)).

Use symbolic algebra software to sketch the surface S.