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Use the method or Lagrange Multipliers to determine the maximum and minimum of f(x, y, z) = x + y + z subject to the two conditions g(x, y, z) = x2 + y2 - 2 = 0 and h(x, y, z) = x + z - 1 = 0.

Show transcribed image text Use the method or Lagrange Multipliers to determine the maximum and minimum of f(x, y, z) = x + y + z subject to the two conditions g(x, y, z) = x2 + y2 - 2 = 0 and h(x, y, z) = x + z - 1 = 0.