Find volume of the solid bounded by z = 0, f(x,y) = x2 +y2, x2 + y2 = 52, 3y = -2x and 20y = 8x where y 2 0. Leave your answer correct to 2 decimal places. Answer:

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 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: 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 volume of the solid bounded by z = 0, f(x,y) = x² +y², x² + y² = 62, 5y = -7x and 2ly = 11x…

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

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Q: Compute the volume of the solid generated by revolving the triangularregion bounded by the lines 2y…

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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 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 of revolution formed by rotating each bounded region about the…

A: The volume of Revolution about x -axis is given by  V = ∫x=ax =b π y2 dx  Given,  y = x32  x = 4 and…

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 surfaces f(x,y) = 5x² + 5y², z = 0 and 5x2 +5y2 = 1.…

A: Given that the volume is bounded by the surfaces z=5x2+5y2,z=0 and 5x2+5y2=1. Their sketch is shown…

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 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: 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 of revolution formed by rotating the bounded region about the x-axis.…

A: Consider the solid formed by the following curve. fx=4-x2,  y=0, x=-1 and x=1   Volume of the solid…

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 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 the solid generated by revolving the area bounded by x - y² + 6y - 9 = 0 and x -…

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Q: Use only the method of cylindrical shells to find the volume of the solid obtained by rotating the…

A: The required region is as shown below: The height of the rotated region is y=-x2+3x-2, for 1≤x≤2.…

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 by (x- 1)² + y = 1 and z? = x2 + y above the xy-plane %3D as in…

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Q: Find the volume of the given solid. Bounded by the cylinders z = 2x², y = x² and the planes z = 0, y…

A: The given region is: z=2x2,  y=x2  and  the planes: z=0,  y=4

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 z = 5x - 5y, 5y = 5x, 5y = -5x and x = 3. Leave your final…

A: The given solid is bounded by: z=5x-5y,    5y=5x,   5y=-5x      and      x=3

Q: Find the volume of the solid bounded by the cylinder x2 + y2 =16 and the planes y=z, x=0, z=0 in the…

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Q: find the volume of the solid obtained by rotating the region bounded by xy=1, y=0, x=1, x= 2 about…

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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 above the region D={(x,y) : 0< xs V27, 0s ys 27-x2} and between the…

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Q: Calculate the volume of the solid bounded by x2+y2=4, z=0, and 4x+2y+z=16

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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 volume of the solid bounded by z = 0, f(x,y) = x2 +y?, x2 + y2 = 3?, 6y = -7x and 15y = 4x…

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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 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 lying below the graph of z = x* + xy + y³ and above the rectangle 1 < x…

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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 given solid. Bounded by the cylinders z = 3x2, y = x2 and the planes z = 0, y…

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Q: Find the volume of the solid generated bounded by x = Vy-2, x = y? - 4y + 4, rotated about the x-…

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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: 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 z = 4x – 4y, 4y = 4x, 4y = -4x and x = 5. Leave your final…

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Q: Find the volume of the given solid. Bounded by the cylinders z = 5x2, y = x2 and the planes z = 0,…

A: Given that a solid is bounded by the cylinder z=5x2 and y=x2 and the planes z=0 and y=4. We need to…

Q: Find the volume of the given solid. Bounded by the cylinders z = 3x2, y = x² and the planes z = 0, y…

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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…

Q: Find the volume of the solid above the region D={(x,y) : 0s xs V55, 0s ys 55-x²} and between the…

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Q: Find the volume of the solid bounded by the cylinders x2 + y2 = 4r2, y2 + z2 = 4r2.

A: We know that : Volume under the surface z = f(x, y) and above the region D in x-y plane is given by

Q: Find volume of the solid bounded by z = 0, f(x,y) = x² +y², x² + y² = 4?, 4y = -5x and 13y = 6x…

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