Please help!
Let S be the surface parametrized by (u,v) = (u cos v, u sin v, u^2 + v^2).
(a) Find a vector normal to S at the the point (1, 0) on the surface.
(b) Find an equation for the plane tangent to S at the the point (1, 0) on the surface.

Question

Please help! 
Let S be the surface parametrized by (u,v) = (u cos v, u sin v, u^2 + v^2). 
(a) Find a vector normal to S at the the point (1, 0) on the surface. 
(b) Find an equation for the plane tangent to S at the the point (1, 0) on the surface.

anonymous · Answer

find the derivative wrt u then wrt v then cross product to get the normal vector??

anonymous · Answer

If you use the approximation theorem, you should be able to find the normal vector of the plan at this very point. By finding the plan, you answer the two questions.

anonymous · Answer

Actually you were right you should do the cross as soon you got the plan for question a to get the normal vector of the normal vector of the first plan.