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What Point on the Surface Z Is Closest to the Origin

Question 101

Essay

What point on the surface z is closest to the origin
z=x2+y−2z = x ^ { 2 } + y - 2
Hint : Minimize the square of the distance from (x,y,z)( x , y , z ) to the origin.

NOTE: Please enter your answer(s) in the form (x,y,z)( x , y , z ) . If there is more than one answer, separate them with commas.

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