Question: Find the minimum distance from the point ( 1 , 3 , 1 2 ) to the paraboloid given by the equation z = x

Find the minimum distance from the point (1,3,12) to the paraboloid given by the equation z=x2y2.
Minimum distance =
Note: If you need to find roots of a polynomial of degree 3, you may want to use a calculator of computer to do so numerically. Also be sure that you can give a geometric justification for your answer.
Find the minimum distance from the point ( 1 , 3

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