Question: Find the minimum value of the function f(x,y,z) = 3x^2 + 3y^2 + z^2 subject to the constraint x + y + z = 1.

Find the minimum value of the function f(x,y,z) = 3x^2 + 3y^2 + z^2 subject to the constraint x + y + z = 1.

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