Let f: R³ → R be defined by f(x, y, z) = x² + y² + z?. (a) Explain why we can always find the maximum and minimum of f(x, y, z) in the region R:= {(x, Y, z) : x > 0 and x² + 2y? + 3z2 < 3}. b) Use the Kuhn-Tucker method to find the maximum and minimum of f(x, y, z) over R.

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