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Use the method of Lagrange multipliers to set up the system of equations to find absolute...

Use the method of Lagrange multipliers to set up the system of equations to find absolute maximum and minimum of the function f(x, y, z) = x^2+2y^2+3z^2 on the ellipsoid x^2 + 2y^2 + 4z^2 = 16. (Doesn't need to be solved just set up)

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