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Problem 3. (Implicit Differentiation) Let 23 + Xy + Y2 +ext +z+sin(2) = 0 Which Defines A Surface In

Problem 3. (Implicit Differentiation) Let 23 + xy + y2 +ext +z+sin(2) = 0 which defines a surface in R3 1) Compute oz and when x =1, y=-1,z=0 2) Find the tangent plane of the surface at the point (1,-1,0). 3) Find a normal vector of the surface at the point (1,-1,0). (By definition, a normal vector of a surface at a given point is a normal vector of its tangent plane at the point.)