Find volume of the solid bounded by z = 0, f(x,y) = x² +y², x² + y2 = 62, 3y = -8x and 17y = 10x where y 2 0. Leave your answer correct to 2 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 bounded by the surfaces f(x,y) = 10x² + 10y², z = 0 and 7x2 +7y2 = 6.…

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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 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 above the region D={(x,y) : 0s xs V49, 0S ys 49-x2} and between the…

A: volume:  V=∫049∫049-x2(49-y)dydx

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) = 3x² + 3y², z = 0 and 6x2 +6y² = 4.…

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Q: Find the volume of the solid above the region D={(x,y) : 0s xs V71, Os yS 71-x-} and between the…

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Q: Find the volume of solid lying in the first octant bounded by the graphs of : z = 4 – x2 – y² , y =…

A: The volume of the solid in first quadrant is given by: V=∫ab∫cdf(z)dydx Now, find the range of the…

Q: Find the volume of the solid obtained by rotating about the line x=1 the region under the curve y =…

A: Solution:Given    y=x1-x2   0≤x≤1and line x=1To find the volumeFormula:Volume=π∫aby2…

Q: Find the volume of the solid of revolution formed by rotating the bounded region about the x-axis.…

A: Draw the given region as shown below.

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 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 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 obtained by rotating about the line x=1 the region under the curve…

A: Solution:Given    y=x1-x2   0≤x≤1and line x=1To find the volumeFormula:Volume=π∫aby2…

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: Calculate the volume of the solid in the first octant bounded by the plane y = 4 and the cylinder z…

A: Volume is calculated using triple integration. Here x varies from 0 to 2 , y from 0 to 4 and z…

Q: Determine the volume of the solid of revolution obtained by rotating the region bounded by y = 7x° –…

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Q: Find the volume of the solid generated by revolving the area bounded by x- y² + 4y-4 0 and x- y-4 0…

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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 = 5², 7y = -3x and 19y = 4x…

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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 y = 2x – x² and y = x…

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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 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 by using double integration. The solid in the first octant bounded by the cylinder…

A: We have the solid in the first octant . Therefore , x=0 , y=0 ,z=0  The solid is bounded by the…

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

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Q: The volume of the solid obtained by rotating the region enclosed by y = 1/x', y = 0, x= 3, x = 6…

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

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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 obtained by rotating the region bounded by y² = x + 4 and 6 - x y =…

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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 above the region D={(x,y) : 0S xs V15, 0s ys 15-x²} and between the…

A: Let's find.

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 by the graphs of the equations: z = 3x + 3y?, x - y+1 = 0, 3x +…

A: This question is about application of intergal calculas

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 solid generated by revolving the region bounded by y=x^2-2x+2, x=0, x=1 and…

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

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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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