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Mathematics 9 Online
OpenStudy (anonymous):

Find a point on the graph of z=-x^2-y^2+10 nearest to the plane x+2y-z=0

OpenStudy (phi):

Are you sure you have the correct equations? These objects intersect, so there are an infinite number points that are on both surfaces.

OpenStudy (phi):

on the other hand, if you had the equations z=x^2+y^2+10 x+2y-z=0 the surfaces do not intersect, and the question makes sense. (one way to solve is lagrange multipliers)

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