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rent iterat triple integrals for the volume of the rectangular solid in by the coordinate planes and the planes r= 1, y = 2, and = 3. Evaluate one of the integrals. first octant bounded

rent iterat triple integrals for the volume of the rectangular solid in by the coordinate planes and the planes r= 1, y = 2, and = 3. Evaluate one of the integrals. first octant bounded

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 13A: A vessel is in the shape of a right circular cone. This vessel contains liquid to a depth of 12.8...
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rite six different iterated triple integrals for the volume of the rectangular solid in the first octant bounded by the coordinate planes and the planes r= 1, y = 2, and = 3. Evaluate one of the integrals. 3. Write six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane 6x + 3y +2:=6. Evaluate one of the integrals. 4. Write six different iterated triple integrals for the volume of the region in the first octant enclosed by the cylinder ²+²=4 and the plane y = 3. Evaluate one of the integrals. 5. Find the volume of the region between the cylinder := y² and the ry-plane that is bounded by the planes x=0, x= 1, y = -1, y = 1.
Transcribed Image Text:rite six different iterated triple integrals for the volume of the rectangular solid in the first octant bounded by the coordinate planes and the planes r= 1, y = 2, and = 3. Evaluate one of the integrals. 3. Write six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane 6x + 3y +2:=6. Evaluate one of the integrals. 4. Write six different iterated triple integrals for the volume of the region in the first octant enclosed by the cylinder ²+²=4 and the plane y = 3. Evaluate one of the integrals. 5. Find the volume of the region between the cylinder := y² and the ry-plane that is bounded by the planes x=0, x= 1, y = -1, y = 1.
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