Find the volume in the first octant bounded above by the paraboloid z = 9 – x² – y? and on the sides by the cylinders x² + y² = 1 and x² + y² = 4.

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: Q8-Find the volume in the first octant bounded by the plane x+z=1 & y+2z =2?

A: The solution is given as

Q: Find the volume beneath the paraboloid z = 25 − x2 − y2 and above the xy-plane

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Q: Find the volume of the solid bounded by the paraboloids z = - 9+ 3x? + 3y? and z = 5 – x? – y? .…

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

A: To determine: The volume of the region bounded above by the sphere x2 + y2 + z2 = 2 b2below by the…

Q: Find the volume of the solid bounded by: æy = 2, y = 0, æ = 2, and a = 4 a. about x = 1

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Q: Find the volume of the region bounded above by the paraboloid z = 9 – x? - y², below by the…

A: The volume of region is calculated using the triple integral, V=∭sdV Use the cylindrical…

Q: Find the volume of the region bounded by the paraboloid z = x² + y² and the plane x + y = 1 in the…

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Q: Find the volume of the given solid. Bounded by the cylinder x2 + y2 = 4 and the planes y = 2z, x =…

A: Please see the explanation below

Q: Find the volume of the solid in R' bounde y = x², x = y² , z = x + y + 33, and z V =

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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 that lies under the paraboloid  z = 8x2 + 8y2, above the xy-plane, and…

A: Given  the paraboloid  z = 8x2+8y2 , above the xy-plane, and inside the cylinder  x2+y2 = 2x.

Q: Find the volume of the region bounded above by the paraboloid z = 9 - x2 - y2, below by the…

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Q: Find the volume bounded by the paraboloid 2x + y and the parabolic cylinder z = %3D z = 4 – y.

A: We find the volume of the given region in the following way.

Q: by rotating Find the Volume oF the solid obtained bounde d by und X=4 y=o rotating y= 8 on

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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 region in the first octant inside the cylinder x²+y2=4 and between the…

A: Introduction: Finding a function's anti-derivatives is made easier with the aid of integral…

Q: Find the volume of the given solid. Bounded by the cylinder x2+z2=4 and the planes x=2y, x=0, z=0…

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Q: Find the volume of the solid in the first octant bounded by the coordinate planes, the cylinder x2 +…

A: Consider the provided information, The cylinder x2+y2=4. And the plane z+y=3. Find the volume of the…

Q: Find the volume of the solid generated by squares whose bases are bounded by the graph of y= 1/x…

A: Given y=1x   x=1 to x=3We know that the volume for solid of revolution for a curve is the volume…

Q: Find the volume of a solid bounded by the paraboloid z² + y² = 4x and the plane x = 5

A: Given Data: Equation of Paraboloid: z2+y2=4x  ........... (1) Plane x=5

Q: Find the volume bounded by the paraboloid z = 1+ 2x + 2y² and the plane z = 15 in the first octant.

A: We are required to find the volume bounded by the paraboloid z=1+2x2+2y2 and z=15. The graph of the…

Q: Find the volume of the solid bounded by the paraboloid z = 24 – x²2 – y², the cylinder æ? + y² = %3D…

A: The solution are next step

Q: Find the volume of the solid bounded by the paraboloid z = 16 – 2? – y?, the cylinder 2 + y² = 8 and…

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Q: Find the volume bounded by the paraboloid z = 1+ 5x + 5yʻ and the plane z = 26 in the first octant.

A: The objective is to find the volume bounded by the paraboloid z=1+5x2+5y2 and the plane z=26 in the…

Q: Find the volume of the region bounded below by the plane z = 0, laterally by the cylinder x2 + y2 =…

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Q: Find the volume of the solid which is (a) bounded by x+ y+z = 4 in the first octant.

A: As per our guidelines we are supposed to solve only one question. For the solution follow the next…

Q: Find the volume of the region bounded above by the paraboloid z = 3 - x- y and below by the…

A: Since you have posted multiple questions according to company rule we are supposed to give solution…

Q: Find the volume of the solid bounded by the paraboloids 9 + x + y and z = 3 2x? – 2y - - Round your…

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Q: Show that the volume of the region bonded by the cone z = Vx² +y2 and the paraboloid z =x² +y is…

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Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k? = 0 and…

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line…

Q: Find the volume under the paraboloid  z = 4x2 + 4y2,  above the xy-plane, and inside the cylinder…

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

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Q: Find the volume under the paraboloid z= -r - y², and above the cone : = -

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Q: Find the volume of the solid bounded by the paraboloid z = 24 – x? – y², the cylinder x? + y? = 12…

A: Ans is 216 pi

Q: find the volume,The region bounded in back by the plane x = 0, on the front and sides by the…

A: Given

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 bounded by the paraboloid z = 1+ 3x? + 3y? and the plane z = 16 in the first octant.

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Q: Find the exact volume of the solid formed in the first octant bounded above by the cone z = 2 - /x2…

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Q: Find the volume of the solid generated by revolving the area bounded by x? – 2kx – 4ky + k2 = 0 and…

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Q: Find the volume of the solid bounded from above by the paraboloid z = 6 – a2 – y?, inside the…

A: In general volume, integrals are triple integral, which involves the integral with respect to x,y,…

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

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Q: What is the volume of br^3 of the region bounded by the z=9-x^2-y^2 paraboloid, the xy plane, and…

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

Q: Find the volume of the solid that lies under the elliptic paraboloid z = y^2 + 8x^2 + 1 and above…

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Q: Find the volume of the solid bounded by the paraboloids z = – 5 + 2x? + 2y² and z = 9 – x2 – y²

A: The solid is bounded by the paraboloids,  z=-5+2x2+2y2 . . . .. 1& z=9-x2-y2 . . . . . .2 Use…

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 solid in R' bounded by y = x2, x = y?, z = x + y + 27, and z = 0.

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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 region bounded above by the paraboloid z = 3 - x2 - y2 and below by the…

A: Given: To Find: The volume of the region bounded above by z=3-x2-y2 and below by z=2x2+2y2.…

Q: first

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