Question: Find the absolute maximum and minimum values of the function f(x,y,z) = x -- (y^2) on the sphere (x^2) + (y^2) + (z^2) = 1

Find the absolute maximum and minimum values of the function f(x,y,z) = x -- (y^2) on the sphere (x^2) + (y^2) + (z^2) = 1 using Lagrange multipliers.

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