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,
$\displaystyle (x-1)^2+y^2=1$
Is a circle.
In xyz space this is a cyclinder, because the $\displaystyle z$ variable is missing. Thus, it is a circle moved up and down along the z-axis direction, hence a cylinder.