Find the volume of the solid bounded by the surfaces z + y = 2y, :- V+ y and the plane z-0. 3.

Q: Find the volume of the solid region bounded in the first octant by the plane. z = 1- 8x - 2y

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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 bounded by the surfaces x2 +y² = 2y, z = Vr2 + y² and the plane z = 0.

A: Given that : x2+y2=2yz=x2+y2  ,  z=0

Q: Find the volume of the solid bounded by the surfaces f(x,y) = 4x2 + 4y2, z = 0 and 6x2 +6y2 = 9.…

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Q: Find the volume of the solid bounded by the surface z = f(x,y) and the xy-plane. Z= 30 - -R+y? v2

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Q: Find the volume of the solid generated when the plane region bounded by: x=y^2 and x+y=2 is…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the volume of the solid bounded by the xy-plane and the surfaces x2+y2=36 and z=x2+y2.

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Q: Find the volume of the solid bounded by the plane z = 0 and the paraboloid z = 25 - x2 - y2

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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

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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 solid bounded by the plane z= y+2 and the cylinder x'+y = 4 above the…

A: Given that cylinder x2+y2=4and z=y+2 The volume is the region is, V=∭dxdydz Since z=y+2 so z varies…

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 obtained by rotating the region in the first quadrant bounded by the…

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Q: Find the volume of the solid bounded by the plane z =0 and the parabole z =1-x^2-y^2

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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: 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: Find the volume of the solid bounded by the surfaces f(x,y) = 5x² + 5y², z = 0 and 2x2 +2y² = 2.…

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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 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 surface z = 9 – x² and the planes z = 5, y = 0, and y =…

A: Given that z=9−x2, z=5, y=0 and y=4 Here, y varies from 0 to 4 z varies from 5 to 9-x2 Now, find the…

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 bounded above by enclosed by the curves z = 2 – a², z = x in the

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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 centroid of the volume generated by revolving about the line x = 1, the area bounded by x2-…

A: We will use basic integral calculus and techniques of integration to answer this question.

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 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 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 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 above by z = 1- (22 + y²), bounded below by the ay-plane and…

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Q: Find the volume of the solid of revolution bounded by the cirde x+y = 16, and the lines z = 0 and 8,…

A: Given curve is x2+y2=16 and line x=0 and x=8 about x-axis We have to find the volume of the solid of…

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 under the plane 9x + 3y – z = 0 and above the region bounded by y = x…

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Q: Find the volume of the solid that lies above the xy-plane and is bounded by the cylinder x^2 + y^2…

A: Given: x2+y2=1 x+y+z=2

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 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 above by the surface z = 4 – y² and below by the rectangle R =…

A: We have to find the volume of the solid bounded above by the surface z= 4 - y2 and below by the…

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

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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: 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: 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 the plane 7x + 3y + 8z = 3 in the first octant. Leave your…

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Q: Find the volume of the solid D bounded from above by the surface z = 9 − 4x2 − 4y2 and below by the…

A: Consider the given surface z = 9 − 4x2 − 4y2 and below by the plane z = 0. ⇒ 0 = 9 − 4x2 − 4y2  ⇒…

Q: Find the volume of the solid bounded by the xy-plane and the surfaces x2+y²=196 and z=x2+y².

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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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Q: Find the volume of the solid that lies under the double cone z2 = 4x2 + 4y2, inside the cylinder x2…

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Q: Consider the solid bounded by the planes: =x+y, z=30, x=0, y=0. Determine the volume of the solid.

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

A: Since we are considering only in the first octant so lower limit of both x and y will be zero.…