Find the volume of the solid that is bounded by the cylinder z = 4x2, on the sides by the cylinder x² + y² = 4 and below by the xy-plane. z=4-x² x² + y² = 4

Q: Determine the volume of the rotating object that occurs if the area of ​​the curve y1 = - x2 + 4 and…

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Q: Find the volume of the solid obtained by rotating the triangle with the vertices A(0,0), B(4,4) and…

A: Solution

Q: 6. Find the area of the surface generated when y = v4x + 6 is revolved about the x- axis on the…

A: 80π

Q: Find the maximum volume of a rectangular box with faces parallel to the coordinate planes if one…

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Q: Find The volume of the Pasaboloid Solid by 2 - 4+2x² + 2y² and 7-3x²-3y² the

A: To Find: Volume of the solid region bounded by the paraboloids z=-4+2x2+2y2 , and z=7-3x2-3y2.

Q: Find the area of the surface. The part of the cylinder y² + z² = 9 that lies above the rectangle…

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Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

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

Q: Find the surface area of the portion of 4x + 3y + 5z = 8 that lies inside the cylinder x² + y² = 49.

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Q: Find the surface area of the portion of the half ball with radius a which cuts off by the cylinder…

A: The equation of a ball with radius a is x2+y2+z2=a2. The surface area of the function z=fx,y over…

Q: Find the surface area of the portion of the half ball with radius which cuts off by the cylinder x2…

A: Concept: The surface area of the half ball is given by: A=∬1+∂z∂y2+∂z∂x2dA Where ∂z∂y, ∂z∂x is the…

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

A: Volume bounded by thefirst octent

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: Given that  Plane x+7y+10z=70  To find the largest volume

Q: Find the volume of the region under the surface z = 9x and above the triangle in the xy-plane with…

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Q: Find the area of the plane x−2y+5z=13 cut out by the cylinder x^2+y^2=9

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Q: find volume of tetrahedron with vertices W= (2,2,2)  X= (5,4,3) Y= (5,4,4) Z= (5,5,5)

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