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This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. f ( x, y, z) = 4x + 4y + 3z, 2x2 + 2y2+ 322 = 19 maximum value minimum value

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