4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 – 3y², and the planex + y = 2

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Q: Find the volume of the wedge cut from the first octant by the cylinder z = 45-5y² and the plane x +y…

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Q: Ex9: A solid has its base, R, formed by y = 5x - x² and y = x in the xy-plane. Find the volume of…

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A: We have to find the volume of the largest rectangular box in the first octant with three faces in…

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Q: The volume of the tetrahedron bounded by the coordinate planes and the plane x+y+z=4 is

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Q: Find the volume of the solid in the first octant by bounded by the plane 3x +42 = 12, y = 2 and the…

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A: Show that the volume of the segment cut from the paraboloidX^2 /a^2 + y^2/ b^2 = z/ cby the plane z…

Q: 6) Find the volume of the solid in the first octant bounded by the plane 3x +4z=12, y=2 and the 3…

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Q: To create an object to display at the Art Museum of Philadelphia, Hao creates a solid of revolution…

A: If y is given as a function of x, then the volume of solid obtained by rotating the portion of the…

Q: Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane.…

A: Cylinder y2 + z2  = 9,z = 9-y2,0 ≤ x ≤ 2,and-3 ≤ y ≤ 3