Hi,

I was working on my hwk, but would like to double check my answer. Could you please solve it?

2. (12 points) The image of the parametrization m(u, v) = (2 + cos u) cos '0 y(u, v) = (2 + cos u) sin'v z(u, v) = sinu with 0 S u, v S 21v parametrizes a torus (the surface of a doughnut) S. (a)(5 points) Show that all points in the image (:13, y, z) satisfy (x/x2+y22)2+22= 1. (b)(7 points) Find a unit normal (no need to specify interior/ exterior) at no = , '00 = 0