I really need help with these: Let S be the surface parametrized by phi (u,v) =

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I really need help with these:

Let S be the surface parametrized by phi (u,v) = (u cos v, u sin v,u2 + v2). 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 the point phi (1,0) on the surface. Find an equation for the plane tangent to the surface phi (u, v) = (uv, u2v, v2) at the point P = (2,2,4) on the surface. Evaluate the surface integral (x + y) dS where D is the part of the plane x + 2y + 3z = 6 above the triangle in the xy-plane with vertices at (0,0,0), (1,0,0), and (1,1,0). Determine the area of the part of the paraboloid f(x , y) = a2 - x2 - y2 (a is a positive constant) above the xy-plane. Hint: Use polar coordinates. Evaluate the surface intergral y2zds wher H is the surface given parametrically by phi(u, v) = (u cos v, u sinv,u), 0 u l , 0 v pi . (Hint: Some of the grunge work for this problem is done in example 4, page 964, of the text.)

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I really need help with these: Let S be the surface parametrized by phi (u,v) =

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