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## Homework Statement

Find the points on the surface xy^2z^3=2 that are closest to the origin

## Homework Equations

## The Attempt at a Solution

x,y,z=/= 0, as when x,y,z = 0 it is untrue. Right?? Otherwise, I am very unsure as to how to approach this problem. Should I be taking partial derivatives to fin the maximum and minimums???