Find the volume of the solid bounded by the surfaces f(x,y) = 5x² + 5y², z = 0 and 5x2 +5y2 = 1. Leave your answer correct to 3 decimal places.

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

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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 of revolution generated by revolving the region bounded by x = 1, x =…

A: Consider the graph:

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: Find the volume of the solid obtained when the region bounded by the curves y = x^4 − 2x and y = 0…

A: We have to find the volume of of the solid of revolution of the region bounded by the curves y=x4-2x…

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 surfaces f(x,y) = 3x² + 3y², z = 0 and 6x2 +6y² = 4.…

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Q: Find the volume of the solid generated when the region bounded by x = - sqrt(4y) . y = 4 and x= 0 is…

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Q: I need to find the volume of a solid obtained by rotating the region bounded by y=x3 , y=1 , x=0…

A: Find the f(x) and g(x) and the limits for integration a and b.

Q: Find the volume of the solid generated by rotating the region bounded by the curves {v=4x-x°, y=3}…

A: Volume of revolution

Q: Find the volume of the solid generated by revolving the area bounded by x- y2 + 6y-9 0 and x- y-9 =…

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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 obtained by rotating the egion bounded by y=x+1₁ y=0, about y = -1. y =…

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

A: Volume

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 above by the graph of f(x, y) = 2x + 4y³ and below by the…

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Q: Find the volume of the solid generated by revolving the area bounded by x - y² + 6y - 9 = 0 and x -…

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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 obtained by rotating theregion bounded by the given curves about 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: 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 x + y2 = 3z and x2 + y2 = 6x

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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

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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 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 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: What is the volume of the solid R bounded by the x- axis, x = 2, and y = x2 when R is revolved…

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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 of the solid bounded by z = 3x - 2y, 2y = 3x, 2y = -3x and x = 3. Leave your final…

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Q: Find the volume bounded by the cylinder x² + y² = 9 and the planes y + z = 4, z = 0, using double…

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Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs…

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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 generated by revolving the region bounded by y = x² – 2x + 2 and y = x…

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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 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 obtained by rotating the region bounded by y=x and y=xl/2) about the…

A: Solution:Giveny=x and y=x12To find the Volume of the solidFormula:V=2π∫abR(x)h(x)dx

Q: Find the volume of the solid obtained when the region bounded by the curves y =−x^2 + 2x + 3, y = 0…

A: Given: The curve is: y=-x2+2x+3 and y=0 Now, the point on x, when y=0 are:…

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: Find the volume of the given solid. Bounded by the cylinders z = 4x2, y = x2 and the planes z = 0, y…

A: Given data:   The first equation given is z=4x2. The second equation given is y=x2. The given value…

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: 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 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 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 obtained by rotating the region bounded, by y x2 - 2x and y = x about…

A: The region bounded by the curves y=x2-2x and y=x about the line y=4 is as shown above.

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 generated by revolving the region bounded by the graphs of the…

A: To Determine: Find the volume of the solid generated by revolving the region bounded by the graphs…