Find  the Volumeof the largest rectangular box lying above the xy-plane, with y less that or equal to zero, that cna be inscribed in the ellipsoid 12x2+9y2+4z2=36

Q: Find the volume of the solid bounded above by f(x,y) = 5x², below by the xy-plane and the sides by y…

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Q: Find the volume of the solid region bounded in the first octant by the plane. z = 12 - x - 4y cubic…

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Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

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Q: Find the centroid of the solid formed by revolving about ox the area bounded by y^2=2x and the line…

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A: Find the volume of the wedge cut from the first octane by the cylinder and the plane

Q: Find the volume of the solid bounded by the plane 2x + 8y + 5z = 2 in the first octant. Leave your…

A: Equation of plane, 2x + 8y + 5z =2

Q: Find the volume of the solid bounded above by the surface z = 1 – x² – y², below by the xy – plane,…

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Q: Find the surface area of the solid of intersection of the cylinders  x2 + z2 = 9  and  y2 + z2 = 9

A: To find the surface area of the solid

Q: Find the volume of the solid in the first octant bounded by the coordinate planes, the plane x = 3,…

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Q: Find the volume of the solid bounded by the plane 3x + 8y + 4z = 10 in the first octant. Leave your…

A: In the given problem the first octant denotes the region in the coordinated plane where x,y,z≥0 The…

Q: find the volume of the solid bounded by y=2x+1,y=3and x=4 about  line y=10usingthe cylindrical shell…

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Q: Find the volume of the solid bounded by the elliptic cylinder 4x2 + z2 = 4 and the planes y = 0 and…

A: According to the given information, it is required to find the volume of the solid bounded by…

Q: Find the volume of the solid bounded by the elliptic paraboloid z = 1+ 2x² + 5y², the planes * = 5…

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Q: Find the volume of the solid bounded above by f(x,y) = 8x², below by the xy-plane and the sides by y…

A: Volume

Q: Calculate the volume of the solid with a triangular base in the xy plane of vertices O(0,0),A(1,1)…

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Q: Find the volume of the solid that is bounded above by the cylinderz = x2 and below by the region…

A: Given, bounded region z=x2, y=2-x2, y=x region can be define as ∫∫x2dxdy now region is y=2-x2, y=x…

Q: Find the volume of the region bounded above by the paraboloid z = 4 – 3x² – 3y² and bounded below by…

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Q: calculate the volume of the solid bounded by the paraboloid z=x2+y2 and the elliptical paraboloid…

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Q: Calculate the volume of the solid in the first octant bounded by the plane y = 4 and the cylinder z…

A: Volume is calculated using triple integration. Here x varies from 0 to 2 , y from 0 to 4 and z…

Q: Find the volume of the solid that is bounded by the cylinder z = 4x2, on the sides by the cylinder…

A: Let's find volume of solid.

Q: Find the volume of the solid bounded by the ellipic paraboloid z = 3 + 4x2 + 2y², the planes x = 2…

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Q: Find the volume of the solid obtained by rotating theregion bounded by the given curves about the…

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Q: Determine the volume of the solid generated in the first quadrant when the plane region bounded y =…

A: Flight will draw the region in the first quadrant which is revolving about the x=0 then using washer…

Q: Determine the volume of the solid generated in the first quadrant when the plane region bounded y =…

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Q: Find the volume of the solid that lies under the plane 4x + 10y - 2z + 15 = 0 and above the…

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Q: Find the volume of the solid bounded by the plane 3x + 6y + 3z = 4 in the first octant. Leave your…

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Q: Find the volume of the solid bounded from up by surface f (x,y) = 2x + y2 and from below by the…

A: According to question, surface :f(x, y) = 2x+ y2,Traingle vertices : 0, 2, 0, 0 and 3, 2

Q: Find the volume of the solid bounded by the plane 4x + 6y + 7z = 9 in the first octant. Leave your…

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Q: Find the Surface Area of the solid generated by revolting the solid bounded by y=2√x, y=0, x=3,…

A: The Surface Area of the solid generated is given by,

Q: Find the volume of the solid in the first octant bounded by the parabolic cylinder z = 25 - x^2 and…

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Q: Find the volume of the solid bounded by the plane 9x + 3y + 3z = 6 in the first octant. Leave your…

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Q: 6) Find the volume of the solid enclosed by the paraboloid z = 2--y and the plane z = 2.

A: According to question given that z=2-x2-y2z=-2

Q: Find the volume of the tetrahedron in the first octant that is bounded by the three coordinate…

A: The objective is to find the volume of the tetrahedron in the first octant that is bounded by the…

Q: Calculate the volume under the elliptic paraboloid z = 4x² + 6y2 and over the rectangle R = [-2, 2]…

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Q: Find the volume of the solid bounded by the plane 10x + 8y + 8z = 9 in the first octant. Leave your…

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Q: Find the volume of the solid that below the Surface given by z = 16 xy + 200 and above the region in…

A: Volume bounded by xy-plane plane,

Q: Find the volume of the solid bounded above by f(x,y) = 7x2, below by the xy-plane and the sides by y…

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Q: Calculate the volume under the elliptic paraboloid z = 4x2 + 6y2 and over the rectangle R = [-2, 2]…

A: The solution for the above question is shown below.

Q: find the volume,The region cut from the solid elliptical cylinder x2 + 4y2<=4 by the xy-plane and…

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Q: Find the volume of the solid bounded above by f(x,y) = 4x?, below by the xy-plane and the sides by y…

A: We will find out the required volume.

Q: Find the volume of the solid bounded by the graphs of the equations: z = 3x + 3y?, x - y+1 = 0, 3x +…

A: This question is about application of intergal calculas

Q: Find the centroid of the volume generated by revolving about the x=1, the area bounded by…

A: Answer is mentioned below

Q: Find the volume of the wedge cut from the first octant by the cylinder z = 12 - 3y2 and the plane x…

A: Given Data The equation of the cylinder is z=12-3y². The equation of the plane is x+y=2.   Let, The…

Q: Find the volume of the solid bounded by the plane 8x + 5y + 10z = 7 in the first octant. Leave your…

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Q: Find the volume of the solid bounded by the plane z = 3 - 5x - 9y and the coordinate planes in the…

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Q: Find the volume of the solid bounded by the paraboloid z = 16 – x² – y², the cylinder x2 + y? = 8…

A: We have to find the volume of the solid bounded by the paraboloid, the cylinder, and the xy-plane.

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: Find the volume of the wedge cut from the first octant by the cylinder z=63-7y and the plane x+y=3

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Q: Find the volume of the solid bounded by the plane 7x + 3y + 8z = 3 in the first octant. Leave your…

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Q: Find the volume of the solid bounded by the plane 7x + 3y + 4z = 3 in the first octant. Leave your…

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