Find the volume of the solid generated when the region enclosed by y = Vx + 1, y = V5x, and y 0 is revolved about the x-axis.

Q: Find the volume of the solid that results when the region bounded by x = y and x = y + 12 is…

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Q: Find the volume of the solid obtained by revolving about the x-axis the region between y = 2x and…

A: Given curves:- y=2x and y=x2

Q: Find the volume of the solid that results when the area of the region enclosed by y= Vx+1, x = 4,…

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Q: Find the volume of the solid of revolution when the region below y = x +1 and between x = 0 and x =…

A: Explained below

Q: Find the volume of the solid that results when the region enclosed by y = V1+ e12 x = 0, x = 6, and…

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Q: Find the volume of the solid created by revolving the bounded region created by the graphs of y = Vx…

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Q: Find the volume of the solid obtained by rotating about the x-axis, the region under the curve. y =…

A: Consider the curves, y=2x+3,y=0,  x=0    to  x=3 Consider the region:

Q: . Find the volume of the solid obtained by rotating the region bounded by  y = √x    x = 0, and x =…

A: Given curve y=x, x=0 and x=4. The volume is generated by curve rotating about x-axis.

Q: Find the volume of the solid generated when the region enclosed by y = \2x + 8, y = x, x = 0 is…

A: If y=f(x) is a function, then the independent variable x is called the input of the function, and…

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 of revolution obtained by rotating the region bounded by the graphs of…

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

A: Volume of revolution

Q: Find the volume of the solid obtained by rotating the region bounded by y=7x^2, x=1, and y=0,…

A: Given:-     y=7x2                   x=1                   y=0         about x‐axis. ∴volume v=∫ab…

Q: Find the volume of the solid that results when the region enclosed by x = y² and x = y 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 of the solid generated when the region bounded by y = 9x and y = 36/x is revolved…

A: The given curves fx=36xgx=9x Solving the above equation 36x=9x362x-81x2=0x362-81x=0x=0, 16

Q: Find the volume of the solid generated when the region enclosed by y=x^3, x=1, and y=0 is revolved…

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Q: Find the volume of the solid generated when the region enclosed by y x, y 6- x, and y = 0 is…

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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 the solid obtained by revolving the region under y = ex for 0 ≤ x ≤ 2 about the…

A: The radius of the region= x Height = y= ex

Q: Find the volume of the solid that results when the region enclosed by x = 0, x = 9, and y: 0 is…

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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 formed by rotating the region bouned by y=x and y=xln(x) around x=-1

A: Consider the provided curve, y=x  and  y=xlnx Find the volume of the solid formed by rotating the…

Q: Find the volume of the solid generated by revolving the region bounded by y = x² + 1, y = x + 3…

A: Given that,  y = x2 + 1y = x + 3 The Axis of rotation = X-axis In the Disk/Washer method strip is…

Q: Find the volume of the solid generated by revolving the region bounded by y = x2 +1, y = x+ 3 about…

A: The volume of the solid of revolution  about x-axis is obtained as Volume=∫abA(x)dx Where…

Q: Find the volume of the solid formed by rotating the region enclosed by y = e" + 3, y = 0, x = = 0, x…

A: We have to find the volume of the solid formed by rotating the region about x-axis.

Q: Find the volume of the solid generated when the region enclosed by y = Vx + 2, Y = /5x, and y = 0 is…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 2x, x = 1, and y = 0,…

A: The volume obtained by revolving the region is given by,…

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 obtained by rotating the region enclosed by the graphs of y = 6 – a, y…

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Q: What is the volume of the solid generated when the region surrounded by y = vx, y = 2 and y = 0 is…

A: Given: y=x,  y=2  and  y=0Rotation around y−axis

Q: Find the volume of the solid obtained by rotating the regic y = e-*, y = 1- e-*, and x = 0 about the…

A: Given: To find the volume of the solid obtained by rotating the region bounded by the curves

Q: .Find the volume of the solid generated by revolving the shaded region about the given axis. x+ 2y 2…

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Q: Find the volume of the solid that results when the region enclosed by x = y² and x = y is revolved…

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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 obtained by rotating about the x-axis, the region under the curve. y =…

A: Solution: The objective is to find the volume of the solid obtained by rotating about the x-axis

Q: Find the volume of the solid whose base is the region bounded between the curves y = x and y = x²,…

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Q: Find the volume of the solid formed by rotating the region enclosed by y = e + 4, y = 0, x = 0, x =…

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Q: Find the volume of the solid obtained by revolving the region bounded by y = x², y = (x – 6)², and…

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Q: Find the volume of the solid generated when the region bounded by y = x2and y2 = x is revolved about…

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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 = 6x?, x = 1, and y = 0,…

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Q: Find the volume of the solid that results when the region enclosed by y = x = 0, x = 9, and y = 0 is…

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Q: Calculate the volume of the solid produced by rotating the region enclosed by about x - 4x – 4y + 4…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 8y², y = 1, r = 0, about…

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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 that is created by rotating the area enclosed by y = Vx + 3, y = 3, and…

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Q: Find the volume of the solid that results when the region bounded by x = y and x = 3y + 10 is…

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Q: Find the volume of the solid of revolution generated when the area bounded by the curve y = Vx, y=0,…

A: As per as our I am supposed to answer only one from these two different question . So I will answer…