(See Steps) Let S be the surface parametrized by \Phi(u, v)=(u cos v, u sin v, u^2+v^2) Find a vector normal to S at the the point \Phi(1,0) on the surface. Find
Question: Let \(S\) be the surface parametrized by \(\Phi(u, v)=\left(u \cos v, u \sin v, u^{2}+v^{2}\right)\)
- Find a vector normal to \(S\) at the the point \(\Phi(1,0)\) on the surface.
- Find an equation for the plane tangent to \(S\) at the point \(\Phi(1,0)\) on the surface.
Deliverable: Word Document 
Solution: Find an equation for the plane tangent to the surface
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