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

Q: Find the volume of the solid bounded above by f(x,y) = 5x², below by the xy-plane and the sides by y…

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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 bounded by the surfaces f(x,y) = 10x² + 10y², z = 0 and 7x2 +7y2 = 6.…

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Q: Find volume of the solid bounded by z = 0, f(x,y) = x² + y², x² + y² = 4², 10y = -6x and 13y = 8x…

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Q: ) Determine the volume of the solid bounded by x = -4, z = 4, x = -y², and the xy-plane.

A: Given: a solid bounded by x=-4, z=4, x=-y2 and the xy plane. To find : volume of the solid   In the…

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: Express the volume of the solid bounded by the paraboloid z = 9-z-y and the plane z = 5 as a double…

A: Given: paraboloid z=9−x2−y2 and the plane z=5 Formula: V=∭VdV

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 bounded by the planes z 0, 1%=1,1=2,y=-1,y-1 and the surface z=+.

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Q: find the volume of the solid bounded by y=2x+1,y=3and x=4 about  line y=10usingthe cylindrical shell…

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Q: Find the volume of the solid bounded by the elliptic cylinder 4x2 + z2 = 4 and the planes y = 0 and…

A: According to the given information, it is required to find the volume of the solid bounded by…

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: 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: 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 a solid G bounded above by surface z = 8 – x², bounded below by the surface z =…

A: We have to find the volume pf a solid G bounded above by the surface z=8−x2 bounded below by 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 obtained by rotating the region in the first quadrant bounded by the…

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Q: Find the volume of the solid bounded above by f(x,y) = 3x2, below by the xy-plane and the sides by y…

A: Let's find.

Q: Find volume of the solid bounded by z = 0, f(x,y) = x² +y², x² + y2 = 62, 3y = -8x and 17y = 10x…

A: We will find out the required volume.

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 above by the plane z = (1+x2+y2)2 and below by the plain z =0…

A: Let V be the volume of the solid which is bounded above by  z=21+x2+y22 and below by z=0 over the…

Q: Find the volume of the solid bounded by the surface z = 4+ (x – 5)2 + 4y the planes x = 4 and y = 2…

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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 volume of the solid bounded by z = 0, f(x,y) = x2 +y2, x2 + y2 = 52, 3y = -2x and 20y = 8x…

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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 bounded by z = y + 3x, y – x = 0, x + y = 2 and z = y.

A: The given problem is to find the volume of solid bounded by given regions. Given regions z=y+3x,…

Q: Find the volume of the solid bounded above by f(x,y) = 8x?, below by the xy-plane and %3D the sides…

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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 bounded by z = 9 − x2, z= 0, y= 0, y = 2x.

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

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Q: Find the volume of the solid bounded above by f(x,y) = 4x?, below by the xy-plane and the sides by y…

A: We will find out the required volume.

Q: Find the volume of the solid in the first octant bounded above by the plane x + z = 8 and laterally…

A: Find the volume of the solid in the first octant bounded above by the plane x + z = 8 and laterally…

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 y=x2+1y=x2+1 and the line y=−x+3y=−x+3, revolved about the…

A: Given curves are y=x2+1 and y=-x+3 and the line y=5 Find the volume

Q: Determine the volume of the solid obtained by rotating the region bounded by y= 2x2 and y = x³ about…

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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: 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 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 above by z= 9x² +y°, below by z = 0, and aterally by y = 0,…

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Q: Find the volume of the solid capped by the surface z = 1 – y – x² over the region bounded on the xy-…

A: To find the volume of the solid capped by the surface z = 1 - y - x2 over the region bounded on…

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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