Find the volume of the solid obtained by rotating the region bounded by y-2vx-1 and y=x-1 about the line x -1.

Q: Find the volume of the solid generated by revolving about the line x = 3 and the region is bounded…

A: To find the volume.

Q: Calculate the volume of the solid obtained by rotating the region bounded by y = x2 + 1 and y = 3 –…

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Q: Find the volume of the solid obtained by rotating the region bounded by y= 54x-6x2 and y= 0 about…

A: Given:           y=54x−6x2 and y=0  about y−axis.

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 generated by revolving the region bounded by y=6x−x^2 and y=0 about the…

A: Given : region is bounded by y=6x-x2 and y=0 To find : volume of the solid generated by revolving…

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x² -…

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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 generated by revolving the region in the first quadrant bounded above…

A: ACCORDING TO BARTLEBY GUIDELINES, EXPERTS ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE…

Q: Find the volume of the solid generated by revolving the region bounded by the |2x| about the x-axis.…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x2 + 2 and y = 4 - x²…

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Q: Find the volume of the solid generated by rotating the region bounded by XY3D3. Y3D3, Y3D2 and x-5…

A: Given,       xy=3, y=3, y=2 and x=5  around the line x=5.

Q: Find the volume of the solid obtained by rotating the region bounded by y = x^3 , y = 0 and x = 1…

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

A: Graph the given curves. The bounded region is shaded. It is rotating about the x=-1 line

Q: Find the volume of the solid generated when the region bounded by y = x² – x and y = x - y2 is…

A: Introduction: If the area of the ring is A=πOuter radius2-(Inner radius)2, the volume of solid…

Q: Find the volume of the solid obtained by rotating the region bounded by y = −10+ 6x - x², x = 1 and…

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

A: We will find the volume of revolution as following.

Q: Find the volume of solid generated by revolving the region bounded by the lines y = 0, x = 2 and…

A: We have to find the volume of solid bounded by given region revolving around X-axis.

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 generated when the region bounded by y= 9x and y 27x is revolved about…

A: Given curves are y=9x   ....1 and y=27x  ...2

Q: find the volume of a solid obtained by rotating the region enclosed by y=x^2 and y=4 about the line…

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

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Q: Find the volume of the solid generated when the region bounded by y = 5x and y= 15√√x is revolved…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 7x², x = = 1, and y = 0,…

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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 obtained by rotating the region bounded by the curve y 3 - z and x-axis…

A: The volume for solid of revolution for the curve x2=3-y around x=0 on interval 0, 1:The volume for…

Q: Find the volume of the solid generated by revolving the region bounded by the curves y=x and y=4x –…

A: TTt

Q: Find the volume of the solid obtained by rotating the region bounded by  y = 35x − 7x2  about the…

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=8, and x=0 about…

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Q: Find the volume of the solid generated when the region under the curve y = x2 over the interval [0,…

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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: Determine the volume of the solid obtained by rotating the region bounded by y=x^2-2 and y=x about…

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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 = 4x², x = 1, and y = 0,…

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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: Determine the volume of the solid obtained by rotating the region bounded by y= 2x2 and y = x³ about…

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Q: find the volume of the solid obtained by rotating the region bounded by e^-x; y=1;x=2 the line y=2

A: The solution are next step

Q: Find the volume of the solid generated by revolving the bounded region between the parabola x = y²…

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x and y=√x and the line…

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Q: Find the volume of the solid obtained when the region bounded by the line y = 2x, the line x = 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 obtained by rotating the region bounded by y 5x-x2 and y-x about the…

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x² -…

A: Solution of given question is written in below steps.

Q: Determine the volume of the solid obtained by rotating the region bounded by y = 2x + 1, y = 3 and x…

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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 formed by rotating the region bounded by y = x² + 3, x = 0, x = 2, and…

A: The solid is formed by rotating the region y=x2+3, x=0, x=2 and y=0about the x-axis

Q: Find the volume of the solid generated by revolving the regionbounded by y = √x and the lines y = 2…

A: The curve given is  y = √x and the lines y = 2 and x = 0 about the line y = 2. The graph of the…

Q: Find the volume of the solid obtained by rotating the region bounded by y = x - x and y = 0 about…

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