Find the volume of the solid formed by revolving the region bounded by the curves y = 3x²,x = 0, and y = 3 around the y-axis.

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

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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 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 created by revolving the bounded region created by the graphs of y = Vx…

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Q: Find the volume of the solid formed by revolving the region bounded by y = (x – 2)2 and y = x about…

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Q: Find the volume of the solid formed by revolving the region bounded by f (x) = 4x – x² and the…

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Q: Find the volume of the solid formed by rotating the region enclosed by 4x y = e about the x-axis. +…

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

A: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

Q: Find the volume of the solid formed by revolving the region bounded by the graph of x = e−y2 and the…

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Q: Find the volume of the solid generated by the revolving the region enclosed by y=(x+1)2, y=-x+5 and…

A: Given y=x+12 , y=-x+5Intersection pointx+12=-x+5⇒x2+2x+1=-x+5⇒x2+3x-4=0⇒x2+4x-x-4=0⇒x+4x-1=0∴ x=1…

Q: Find the volume of the solid generated by revolving the region bound by y = x and about the y-axis.

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: Find the volume of the solid formed by rotating the region bounded by y = 5 – 2x, y =x² and x > 0,…

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

A: We need to find the volume of solid formed by revolving the region bounded by the curve about the…

Q: Determine the volume of the solid formed by revolving the area bounded by y= x- 2x and y=0 about the…

A: The volume of the solid formed by revolving the region bounded by the curve y=f(x)and the x−axis…

Q: Find the volume of the solid formed by revolving the region bounded by the graphs y = √x and y = x^2…

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = x2 + 1, y =…

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Q: Find the volume of the solid generated by revolving the region bounded by y=sqrt x, y=-1/2x+4, x=0,…

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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 formed by revolving the region bounded by the graphs of y=e^x, y=5, and…

A: Given that, Curve is, y = ex,   y = 5 and x = 0 We have to find the volume of solid  by revolving…

Q: Find the volume of solid formed by revolving the region bounded by y = 4-ex , x = 0, and y = 0 about…

A: I use shell method

Q: Find the volume of the solid formed by revolving the region bounded by y=6x−x2,y=0 about the x-axis

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Q: Find the volume of the solid generated by revolving the region bounded by the y = 2x - x2 and y = 0…

A: Find out the volume of the solid generated by revolving the region by the y=2x-x2 and y=0 about the…

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 generated by revolving the region bounded by y = vx-1, y = 0 and the…

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Q: find the volume of the solid generated by revolving the region bounded by the curves…

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Q: . Find the volume of the solid formed by revolving the region bounded by the curves y = x² and y =…

A: This question is based on application of Integration.

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

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Q: Find the volume of the solid generated by revolving the region bounded by y =4(sqrt(sin x))​, y = 0,…

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

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y=x^2 and…

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Q: . Find the volume of the solid generated by revolving the region bounded by the y = -a2 + 6x – 8 and…

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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 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 formed by revolving the region bounded by y=1/2x^3, y=0, and x=3 about…

A: Given:

Q: find the volume of the solid generated by revolving the shaded region about the given axis.

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Q: Find the volume of the solid generated by revolving the region bounded by the y = 4x - x2 and y = 0…

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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 by revolving the region bounded by x=1+ y^2 and y=x-3 about…

A: Given: Region is bounded by the curves, x=1+y2 y=x-3 Objective of the question is to find the volume…

Q: Calculate the volume of the solid obtained by rotating the region bounded by the curve y=2x-x² and…

A: Sketch the region and integrate in x variable.

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y=2x2+1 and…

A: First draw the both curve and find the region which will be rotated about x-axis.than use disc…

Q: Find the volume of the solids generated by revolving the region bounded by the curves y = 7r² and y…

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Q: Find the volume of the solid obtained by revolving the region enclosed by the curves y^2=x, x=2y,…

A: y2=2x,    x=2y find the intersection point between two curves y2=2x y2=2·2y y2=4y y2-4y=0 yy-4=0…

Q: Find the volume of the solid generated by revolving the region between the y-axis and the curve x =…

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Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. y 3

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Q: Find the volume of the solid generated by revolving the unbounded region lying between y = −ln x and…

A: Given that: y=-lnx   and   the   y-axis To sketch the region:

Q: Find the volume of the solid formed by rotating the region between the y=sqrt(x)curve  y=2 line and…

A: The volume of the solid of the revolution can be calculated using integration. The formula for the…

Q: Find the volume of the solid obtained by revolving the region between the graph of y2 − x2 = 1 and…

A: We first sketch the region using a graphing calculator.  The shaded region will rotate about y=2…

Q: Find the volume of the solid generated by revolving the region bounded by y = x³,y = 0, x = 2 about…

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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…