Find the volume of the solid bounded by the surfaces f(x,y) = 10x² + 10y², z = 0 and 7x2 +7y2 = 6. 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 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 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 plane 2x + 8y + 5z = 2 in the first octant. Leave your…

A: Equation of plane, 2x + 8y + 5z =2

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…

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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 bounded by the plane 3x + 8y + 4z = 10 in the first octant. Leave your…

A: In the given problem the first octant denotes the region in the coordinated plane where x,y,z≥0 The…

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

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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 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 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: 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 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 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: 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 on the front and back by the planes x = above by the cylinder…

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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 by the plane 4x + 6y + 7z = 9 in the first octant. Leave your…

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Q: CALCULATE THE VOLUME OF THE SOLID OBTAINED BY ROTATING THE REGION BY 4y=x² - 4x + 8 AND THE LINES…

A: Introduction: When the axis of revolution is the plane region's boundary and the cross-sectional…

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 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 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 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 bounded above by paraboloid z=4-x^2-y^2 and below by region bounded by…

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

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 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: 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 solid bounded by the surfaces z = 4 – 4(x² + y²) and z = (x² + y²)² – 1.

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Q: Find the volume of a solid bounded above by the function f(x,y) = 2x2 + 4y2 +1, below by the…

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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 bounded by the plane 7x + 3y + 4z = 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  ⇒…