Mathematics
Mathematics, 22.04.2020 01:54, Robinlynn228

Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder yequalsxsquared and the planes zequals5minusy and zequals0. An x y z coordinate system has an unlabeled x-axis, an unlabeled y-axis, and an unlabeled vertical z-axis. A wedge of a parabolic cylinder with height parallel to the z-axis has parabolic cross sections parallel to the x y plane, each of which has a vertex on the positive z-axis and opens in the direction of the positive y-axis. The wedge is bounded from below by the x y plane and bounded from above by a plane parallel to the x-axis that intersects the positive z-axis and the positive y-axis. The solid's top face is bounded by a parabola in the top plane with a vertex on the z-axis that opens in the direction of the positive y-axis. The solid's top and bottom edges meet at a line segment in the x y plane that is parallel to the x-axis. x y z The volume of the wedge is nothing ▼ units. cubic units. square units. (Type an exact answer.)

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Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder yequalsxsqua...

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