Question: Use the Lagrange multiplier technique to compute the minimum and maximum val- ues of f(x, y, z) = x + y + z on the

 Use the Lagrange multiplier technique to compute the minimum and maximum

val- ues of f(x, y, z) = x + y + z

Use the Lagrange multiplier technique to compute the minimum and maximum val- ues of f(x, y, z) = x + y + z on the ellipsoid x- + 2y' + 42- = k, k > 0. Figure 4: Contours of f on an ellipsoid of arbitrary k

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