Find the volume of the wedge cut from the first octant by the cylinder x2 + y2 = 1 and the plane 2x + 3y + z = 4.

Q: Find the volume of the solid that is bounded on the front and back by the planes x= 1 an =2, on the…

A: Given, The solid that is bounded on the front and back by the planes x=1 and x=2,on the sides by the…

Q: Find the volume of the solid in the first octant bounded by the cylinder z = 4 – y? and the plane x…

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Q: Find the volume of the solid that is bounded on the front and back by the planes x=1 and x=5​, on…

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Q: Find the volume of the solid that is bounded on the front and back by the planes x = 2 and x = 1, on…

A: Here, the lower and upper bound of x are 1 and 2 respectively. Similarly, the lower and upper bound…

Q: Find the volume of the region between the planes x+y + 2z =2 and 2x + 2y +z = 4 in the first octant.

A: Find the volume of the region between the planes  x +y + 2z = 2 ......... (1)  and  2x + 2y +z =4…

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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 region bounded above by the elliptical paraboloid z = 10 + x2 + 3y2 and below…

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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 smaller region cut from the solid sphere ρ≤ √2 by the plane z = 1.

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Q: Find the volume of the wedge cut from the cylinder x 2 +y 2 =9x 2+y 2 =9 by the planes z=0and z=y…

A: Solution :

Q: Find the volume of the solid that lies under the plane 2x−4y+5z=18 and above the rectangle R={(x,y)…

A: Given, Plane is 2x-4y+5z =18 And 1≤x≤3  2≤y≤4

Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

A: Given: y=1-x2 and y=x2-1

Q: Find the volume of the solid region bounded in the first octant by the plane. z = 1 - 9x – 3y

A: Note:" Since you have posted multiple question. As per our guidelines we are supposed to solve only…

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 prism whose base is the triangle in the xy plane bounded by the x -axis and…

A: Given -  A prism whose base is the triangle in the x-y plane bounded by the x -axis and the lines y…

Q: Calculate the volume of the solid bounded by the cone z2=x2+y2 and the cylinder x2+y2=4

A: Explained below

Q: Find the volume of the solid bounded by the paraboloid z = 28 – x2 – y², the cylinder x2 + y² = 14…

A: Given- Praboloid,z=28-x2-y2Cylinder: x2+y2=14 To find : Volume of solid

Q: Find the volume of the solid bounded by the plane z = 10 - 5x - 8y and the coordinate planes in the…

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Q: Find the volume of solid that is bounded by the cylinder x +y = 9 and the planes y+z=4 and z=0,

A: We have to find  the volume of sold that is bounded by the cylinder x2 +y2 =9 and the planes y+z=4…

Q: Find the volume of the solid inside the sphere ρ = 4 that is bounded above by the cone ϕ = π/3 and…

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Q: . Find the volume of the solid bounded on the front and back by the planes x = above by the cylinder…

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Q: Find the volume of the solid bounded by the elliptic paraboloid z = 1 + 5x + 4y", the planes a = 5…

A: To get the volume of the region which is bounded by the given equations we can use the double…

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 by the plane 4x + 6y + 7z = 9 in the first octant. Leave your…

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Q: Find the volume of the solid with the order dzdydx bounded by x2  + y2  = 4 and the planes x + z=2,…

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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: 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: Calculate the volume of the tetrahedron in the first octant bounded by the plane x + 2y + 3z = Q…

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Q: Find the volume of the solid that is bounded by Y3D0 2.x +3y +5z = 30

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Q: Find the volume of the region bounded above by the elliptical paraboloid z = 6 - 2x² - 2y² and below…

A: We will use limits of x,y,z to create a triple integral to represent volume and then solve it

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: Find the volume of the solid that lies under the plane 4x+6y-2z+15=0 and above the rectangle…

A: Consider the given plane

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 region D enclosed by the region cut from the cylinder x2 + y2 4 by the plane…

A: Find the limit of the x, y and z:

Q: Find the volume of the solid bounded by the ellipic 4 + 5x² + 3y², the planes x paraboloid z = = 2…

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Q: Find the volume of the solid bounded by surfaces z = /9-x2 - y2 , and z = /25 - x2 - y? and the…

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Q: Find the volume of the solid bounded by the ellipic paraboloid z =1+5x² + 3y², the plane ¤ = 2 and y…

A: the formula used to find the volume of the region bounded by the surface, the planes, and the…

Q: Find the volume of the solid lying below the graph of z = x* + xy + y³ and above the rectangle 1 < x…

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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: 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 first octant below the cylinder z=y2 and bounded by the planes x=2 and y=3.

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Q: Find the volume of the solid bounded by the paraboloids z = – 5+ 2x2 + 2y² and z = 3 – 3x? – 3y? -

A: Here we use the cylindrical coordinate system to solve the problem.

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 bounded by the cylinder z=y², y=x² and the planes z=0, y=4.

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Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane x + y…

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Q: Find the volume of the solid bounded by the elliptic paraboloid z = 2 + 5x² + 4y², the planes x = 4…

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