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Use Polar Coordinates to Find the Volume of the Solid z=76x26y2z = 7 - 6 x ^ { 2 } - 6 y ^ { 2 }

question 49

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Use polar coordinates to find the volume of the solid bounded by the paraboloid z=76x26y2z = 7 - 6 x ^ { 2 } - 6 y ^ { 2 } and the plane z=1z = 1 .

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