Find the volume of the solid bounded above by f(x,y) = 4x?, below by the xy-plane and the sides by y = 9x + 8, y = -3x + 4 and x = 14. 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 generated byrevolving the region in the first quadrant bounded by the…

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Q: Find the volume of the solid formed when the region bounded by the curve y² = x, the line y = 1 and…

A: y = x2 and y = 1 intersect when x = ±1.look at the image,  the outer radius, R, of the solid is…

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 = 2y², y-axis, the lines y = 3…

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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 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 -V4 – (y – 5)', x = 0 is rotated X = about the x-axis using…

A: To Determine: Find the volume of the solid bounded by x=-4-y-52   ,x=0 is rotated about the x-axis…

Q: Find the Volume of the solid obtained by rotating the curve 1 for 1 < x < 4 1+ x2 around the line r…

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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 above by the z=2−x plane and below by the x=4−y^2 curve, in the…

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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 generated when the region bounded by y = 4x and y = 16VX is revolved…

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Q: Find the volume of the solid generated when the region bounded by y = 9 – x and y = 2x + 6 is…

A: To find the volume of solid generated by revolving around the x axis

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: 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: Find the volume of the solid generated by revolving the region bounded by the line y = 0 and curve y…

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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 that results when the region enclosed by 4x 0, x = 1, and y = 0 is…

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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 the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate…

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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: Find the volume of the solid obtained by rotating the region bounded by y = 56x – 8x² and y = 0…

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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 plane 9x + 3y + 3z = 6 in the first octant. Leave your…

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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: The volume of the solid obtained by rotating the region enclosed by y = x², Y = 2x, about the line y…

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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 obtained by rotating theregion bounded by the given curves about the…

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Q: . Find the volume of the solid whose base is the region bounded by the semicircle y = 1– x² and the…

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Q: Find the volume of the solid of revolution when the region bounded by y = x + 1, the x – axis, and…

A: Recall: Shell method,  V=2π∫abr(x)h(x)dx We have, a=0, b=2, r(x)=3-x, h(x)=x+1

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 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: The volume of the solid obtained by rotating the region enclosed by y = x², x = y? about the linex =…

A: we will solve the problem using washers method.

Q: Find the volume of the solid obtained by rotating the region bounded by y = 4x², x = 1, and y = 0,…

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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 plane 8x + 5y + 10z = 7 in the first octant. Leave your…

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Q: Find the volume of the resulting solid of revolution of: 3. Bounded by: y = 2x, y = 1, y = 3, and…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Find the volume of the solid of revolution obtained by rotating the region bounded by y=1/x, y=2/x,…

A: This question is based on application of integration.

Q: What is the volume of the rotator formed by the function y = 2-x ^ (2) and rotating the region…

A: Let us consider the curve y=f(x) The volume of the solid of revolution about x-axis is obtained by…

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 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 solid formed when the region bounded by y = x² and y = Vx are revolved about…

A: To find the volume of solid formed when the region bounded by y=x2 and are revolved about x-axis…

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 generated by revolving the regionbounded by y = √x and the lines y = 2…

A: To find the volume of the solid generated by revolving the region bounded by  y=x and the lines y=2…