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Find the Surface Area for the Part of the Plane 5z=3x4y5 z = 3 x - 4 y

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Find the surface area for the part of the plane 5z=3x4y5 z = 3 x - 4 y that lies inside the elliptic cylinder x2+2y2=2x ^ { 2 } + 2 y ^ { 2 } = 2 .

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