Find the volume bounded below by the paraboloid z= x? + y & above by the plane z=2y ?

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x2 + y? = 81 and…

A: To find the volume of the wedge shaped region

Q: Find the volume of the region bounded below by the cone ( =V(x² + y²) ‚and above the plane ( z=1),…

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Q: Find the volume of the solid that lies above the xy-plane and is bounded by the cylinder x² + y² = 1…

A: We are given that a solid lies above the xy plane and is bounded by cylinder x2+y2=1 and the plane…

Q: Find the volume of the solid whose base is the triangle in the xy-plane bounded by the x-axis, the…

A: Given plane z=3-x-y and the lines y=x and x=1. The objective is to find the volume of the solid…

Q: Question included in image

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

Q: Find the volume of the wedge cut from the first octant by the cylinder x? + y² = 1 and the plane 2x…

A: We have to find the volume of the wedge cut from the first octant by the cylinder x2+y2=1 and the…

Q: The volume under the plane z – a? – 2y? = 0 and above the region enclosed by the line y = x – 458…

A: To find the volume under the plane z-x2-2y2=0 i.e. z=x2+2y2 and above the region enclosed by the…

Q: Find the volume of solid bonded above by the plane f(x,y) = x + 3y and below by the rectangle R =…

A: Given plane, fx,y=x+3y Rectangle R=0,3×0,2

Q: Find the volume of the solid bounded by the circular cylinder x² + y? = 25, planes z = 1: : 0, z =…

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Q: Find the volume of the given solid. Bounded by the coordinate planes and the plane  8x + 3y + z = 24

A: The given plane is

Q: Find the volume under the surface z 25 – x² – y? and above the plane z = 0.

A: Consider the given: z=25−x2−y2z=00=25−x2−y2x2+y2=25r2=25r=0 to 5,θ = 0 to 2π

Q: Find the volume of the solid bounded below by the circular paraboloid z = x? + y? and abov the…

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Q: Find the volume bounded below by the paraboloid z= x? + y? & above by the plane z=2y ?

A: The objective is to compute the volume below by the paraboloid z=x2+y2 and above by the plane z=2y.

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: Find the volume of the solid that is bounded above by the cone x² + y² and below by the ry-plane and…

A: The given equation of cone is, z=x2+y2Apply the squaring both side into the given…

Q: Find the volume of a solid G bounded above by surface z = surface z = y? and between the planes r =…

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Q: Find the volume of the wedge-shaped region on the figure below contained in the cylinder x2 + y2 =…

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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 obtained by rotating the region bounded by I = 4y², y = 1, z = 0, about…

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Q: Find the volume by using double integration. The solid above z = 0 and bounded by the plane a + z =…

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Q: Find the volume of a solid enclosed by the parabolic cylinder y = x^2, the planes z = 0 and y + z =…

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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 generated bounded by x = Jy – 4, x = y? – 8y+ 16, rotated about the Y -…

A: Washer Method :  If the function f(x) and g(x) be two continuous function and non-negative a,b and…

Q: Find the Volume bounded by the Cone) Z:y and Z=3

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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 solid bounded by paraboloid z =z+y and z *2-²+y and z = 4

A: To find the volume of the solid bounded by the below paraboloid and plane.

Q: Find the volume of the solid obtained by rotating the region bounded by y = = a°, y = 1; about the…

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Q: Find the volume of the solid which is under the surface z = 16 – x² – y and above the plane z = 8.

A: Given

Q: Compute the mass of the solid V bounded by the surfaces z = 1 and z = 5 – x2 – y? if density at any…

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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 solid region bounded above by the paraboloid z = 9 - x2 - y2 and below by the…

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Q: Calculate the volume of the solid upper bounded by the paraboloid z=x^2+y^2 and below by the region…

A: we have  to find the volume of the solid bounded upper by the paraboloid z=x2+y2 and below by the xy…

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 generated bounded by x = Vy – 2, x = y2 – 4y + 4, rotated about the %3D…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Determine the volume of the region that lies under the sphere x² + y² + z² = 4, above the plane z…

A: Given: Now,

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 region bounded in the first octant by the plane. z =1- 8x - 2y Need…

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Q: Find the volume of the solid whose base is the triangle enclosed by y-axis, y = 3, and y above…

A: First draw the base of the solid and find the cross section area then integrate.

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 above the xy-plane, inside the cone z = 4 – vx² + y² and inside the…

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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: Use cylindrical coordinates to find the volume of a solid bounded below by the cylinder æ +y <. and…

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Q: y =, x = 1, x = 4, and y = 0 is revolved about the y - axis.

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Q: Find the volume of the solid generated bounded by x = Jy – 1, x = y? – 2y + 1, rotated about the x-…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 8y², y = 1, r = 0, about…

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Q: Find the volume of the solid generated when the plane region bounded by: y=4/x, x=1, x=4, and y=0…

A: Given regions are y=4/x, x=1, x=4 and y=0.

Q: Find the volume of the solid of revolution obtained by rotating the region bounded by y =r³ +1, r 1…

A: Volume is the measure of the amount of space occupied by a closed surface. The equation for the…