Find the volume of the region D enclosed by the surfaces z = x2 + 3y2 and z = 8 - x2 - y2.

Q: Find the volume of the region bounded above by the sphere x² + y² + z² = 2 and below by the parabo-…

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Q: Find the volume of the solid bounded by the surfaces f(x,y) = 10x² + 10y², z = 0 and 7x2 +7y2 = 6.…

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Q: Find the volume of the region bounded above by the surface z=7-y and below by the rectangle R:…

A: We have given the surface equation:                           Z= 7-Y2…

Q: Find the volume of the region enclosed by the surfaces z = x2 + y2 and z = (x2 + y2 + 1)/2.

A: To find the volume of solid enclosed by the below surfaces. Here the region is bounded above by (2)…

Q: Find the volume of the region above the xy-plane, inside the cone z = 6 – Væ² + y² and inside the…

A: Triple integral is used to integrate the function of three variable over the three-dimensional…

Q: Find the volume of the region between the cylinder z=y. and the xy-plane that is bounded by the…

A: Solved below

Q: Find the volume of the solid under the surface z = = 3x + 5y²2 and above the region in the first…

A: Important guideline: As you didn't ask a question that is to be solved, so according to Bartleby's…

Q: Find the volume of the solid obtained by rotating the region bounded by y=x2, y=1, and the line is…

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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…

Q: Find the volume of the solid obtained by rotating the region bounded by 2y = x², %3D y = 2, y = 8…

A: According to the given information, it is required to find the volume of the obtained solid.

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 region above the xy-plane, inside the cone z = 18 – Vx² + y² and inside the…

A: We have to find the volume of the region bounded by the xy-plane, inside the cone, and inside the…

Q: Find the volume of the solid bounded by the surfaces f(x,y) = 3x² + 3y², z = 0 and 6x2 +6y² = 4.…

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Q: Find the volume of the region bounded above by the surface z =7-y and below by the rectangle R:…

A: Introduction: - The process of obtaining the area of the region under the curve is known as…

Q: Find the volume of the region bounded above by the sphere x2 + y2 + z2 = 2 and below by the…

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Q: Find the volume of the region enclosed by the cylinder x2 + y2 = 4 and the planes z = 0 and x + y +…

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Q: Find the volume of the solid V in the first octant bounded by x+y+z=5 and x+y+7z=5.

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Q: .Find the volume of the region bounded by the surfaces z=sqrt(7x^2+7y^2) x^2+y^2=49 z=0

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Q: Find the volume of the region enclosed by the cylinder x2 + y2 = 4 and the planes z = 0 and y + z =…

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Q: Find the volume above the xy-plane bounded by the surfaces: 3 2a ²+y² = a², z =y and z= 0. Ans.

A: Given,

Q: Find the volume of the region en-closed by the cylinder x2 + y2 = 4 and the planes z = 0 and x + y +…

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Q: Find the volume of the solid that results when the region bounded by y = Vā ,y = 0 and æ = 4 is…

A: Volume

Q: Compute the volume of the solid bounded by the surfaces x2+y2=33y, z=0 and z=Vx²+y2.

A: We will use of cylindrical coordinates to find the volume of solid

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 generated by rotating the area bounded by the lines y=x, y=2x and x=3…

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Q: Find the volume of the solid bounded above by enclosed by the curves z = 2 – a², z = x in the

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Q: Find the volume of the region that lies inside the sphere x2 + y2 + z2 = 2 and outside the cylinder…

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Q: Compute the volume of the solid bounded by the surfaces x²+y²=29y, z=0 and z=V x²+y².

A: We need to find volume.

Q: Find the volume of the solid generated when the region bounded by y=4x and y=16sqrt(x) is revolved…

A: The given curves are: y=4x    and    y=16x The intersection point of both curves are: (0,0)  and…

Q: Find the volume of the solid bounded by x + y2 = 3z and x2 + y2 = 6x

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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 surfaces f(x,y) = 8x2 + 8y2, z = 0 and 6x2 +6y2 = 4.…

A: Let's find.

Q: Find the volume of the solid bounded by the cylinder x² + y² = 4 and the planes y+z= 4 and z=0.

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x2 and x=y2 about the line…

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Q: Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 6x² and…

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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,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 bounded above by the paraboloid z = x² + 2y² and below by the square…

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Q: find the volume ,The region between the planes x + y + 2z = 2 and 2x + 2y + z = 4 in the first…

A: Given planes are

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 surfaces f(x,y) = 10x² + 10y², z = 0 and 4x2 +4y2 = 7.…

A: Given,  f(x,y)=10x^2+10y^2  ,  z=0  ,  and  4x^2+4y^2=7

Q: Find the volume of the solid bounded by the surfaces f(x,y) = 4x2 + 4y?, z = 0 and 2x2 +2y2 = 4.…

A: Here we can use polar coordinates to find the volume. Formula for volume using polar coordinates is…

Q: Calculate the volume of the solid bounded by the surfaces given by x2 + y2 = 1, z = 0 and z= x2 + y2

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Q: Compute the volume of the solid bounded by the surfaces x²+y²=29y, z=0 and z=Vx²+y2.

A: We need to find volume.

Q: Find the volume of the region bounded by the surfaces z = V6x2 + 6y² x² + y² = 36 z = 0

A: Answer is given in next step.

Q: find the volume of the region in the first octane bounded by the coordinant planes, the plane y + z…

A: See the details solution in below

Q: Find the volume of the solid bounded by the surfaces f(x,y) = 6x2 + 6y2, z = 0 and 7x2 +7y2 = 3.…

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Q: Find the volume of the solid bounded by x+y2=3z and x2+y2=6x.

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Q: Find the volume of the region bounded by z = x² + y² and z = 2x

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