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Q54Section C (Section C)54 of 60

Volume of a solid under a plane over a parabolic region

The volume of the region

R={(x,y,z)∈R3:x+y+z≤3,y2≤4x,0≤x≤1,y≥0,z≥0}R=\{(x,y,z)\in\mathbb R^3:x+y+z\le3, y^2\le4x, 0\le x\le1, y\ge0, z\ge0\}

is __________________

Numerical answer: type the number (no options).

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