1. ## describe S

the rectangular coordinates of the surface S is given by (x-1)^2+y^2 =1.

Describe S geometrically. What kind of surface is S?

Thank you very much.

2. Originally Posted by Jenny20
the rectangular coordinates of the surface S is given by (x-1)^2+y^2 =1.

Describe S geometrically. What kind of surface is S?

Thank you very much.
The xy plane the equation,
$(x-1)^2+y^2=1$
Is a circle.

In xyz space this is a cyclinder, because the $z$ variable is missing. Thus, it is a circle moved up and down along the z-axis direction, hence a cylinder.