Question: In Exercises 1 through 16, use the method of Lagrange multipliers to find the indicated extremum. You may assume the extremum exists. Find the minimum

In Exercises 1 through 16, use the method of Lagrange multipliers to find the indicated extremum. You may assume the extremum exists.

Find the minimum value of f(x, y, z) = x2 + y2 + z2 subject to 4x2 + 2y2 + z2 = 4.

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