A plane with equation 2 + ² + 2 = 1 (a, b, c > 0) together with the positive coordinate planes forms a tetrahedron of volume V = = 1abc (as shown in the Figure below) Find the plane that minimizes V if the plane is constrained to pass through a point P = (2,9,1). C=(0, 0, c) A= (a, 0, 0) The plane B=(0, b, 0) = 1

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