Compute the volume of the solid obtained by revolving the graph of y =1+x^2/2 on [0,1] about the x-axis.

Q: Find the volume of the solid obtained by revolving the curve x²=y-3 about x-axis from x=1 to x=3

A: The volume generated by revolving any curve y=f(x) about x-axis  from x=x1 to x=x2 is given by V=…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Given curves are:                                                       y = 3xy=0x=1x=3

Q: Determine the volume of the solid formed by revolving the area bounded by y² = 4x and x²= 4y about…

A: It is given that, y2=4x⇒y=2xand4y=x2⇒y=x24   Volume of solid formed by revolving the area bounded by…

Q: Find the volume generated by revolving the area bounded by the curve y = (1-x²)² and the x-axis…

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Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded by the…

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Q: Find the volume of the solid obtained by revolving the region bounded by the graph of f(x) = 8e-lx,…

A: Given the curves: fx=8e-7x, x axis, y axis, x =6rotated about y axis

Q: FIND THE VOLUME OF THE SOLID GENERATED WHEN THE REGION BOUNDED BY THE CURVE (x-5)² = 4-Y AND THE…

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Q: What is the exact volume of a solid that is formed by rotating the ,2 region bounded by g (x) = x² +…

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Q: Find the volume of the solid generated by revolving the region between y = 4 – x2 and y = -x + 2…

A: The given regions are, y=4-x2 and y=-x+2 and the given line is, x=44-x=0 We can write the given…

Q: Find the volume formed by rotating the region above the curve y=x^3 and under line y= 1 about…

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

A: We first sketch the region using a graphing calculator.

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: The volume obtained by rotating the region bounded by y=36-(x-3)2 and the x-axis about the line x=…

A: Given Region bounded by curve  y=36-(x-3)2, x-axis  (means y=0) about line x=10. the maximum y is…

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Compute the volume of the solid obtained by revolving the curve y = vx sin x about the x-axis…

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Q: ) Find the volume of the solid formed by revolving the region bounded by the cu y = √9-x² and y = 0…

A: To Find:  Volume of the solid formed by revolving the region bounded by the curve       y = 9 - x2 ,…

Q: Find the volume of the solid generated from revovling the area of the region bounded by the curve y…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Given y=cosx2, y=sinx2

Q: Find the volume of the solid generated by revolving the - area bounded by x² − 2kx − 3ky + k² = 0…

A: The given curves are  x2-2kx-3ky+k2=0                 …13x-3y+k=0                 …2 The given line…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Recall: Disk Method: we consider a region bounded by the graph of the function y=f(x) , the x-axis…

Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 6x^5 on the…

A: Given fx=6x5 rotated about x axis in the interval x=-2 , x=+2Find volume generated .

Q: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x² - y2 = 0 is…

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

A: We will do it by calculation

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 solids generated by revolving the region bounded by the function y = x³ on…

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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 when the area bounded by the curve y^2=x, x-axis and the line…

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Q: Find the volume of the solid generated by revolving the curve y=3vx between x = 0 & x = 3 about the…

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Q: Find the volume of the solid obtained by revolving the region bounded by: ソ=x ソ=4 about the line X=4

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Q: Find the volume of the solid generated by revolving the region bounded by the graph 1 4x -x4, the y-…

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Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 7x^5 on the…

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Q: Find the volume of the solid obtained by revolving the region bounded by the curve y=1 / (1−sinx)…

A: We have given a region bounded by the curve y=11-sinx, 0≤x≤π3the region is show in the graph-

Q: Find the volume of the solid of revolution generated by revolving y = 9-x from x= - 3 to x= 3 about…

A: Given f(x)= 9-x2    where -3≤x≤3 To find the volume of the solid of revolution here use The Disc…

Q: Find the volume of the Solid generated by revolving the region bounded by x = (1- y). x= 2,/y and…

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Q: Find the volume OF the solid Formed by revolving the region bounded by the graphr of x- -y't 4y, and…

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Q: Find the volume of the solid whose base is the region enclosed between the curve x = 1−y² and the…

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Q: Find the volume generated by the region bounded by the curve 4x = y² and the line x - 4 = 0, rotated…

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Q: Find the volume of a solid obtained by revolving the curve x2=y-3 about x-axis from x=1 to x=3

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Q: find the volume of solid generated when the regions enclosed between the curves y=x^2 and x=y^2 is…

A: Given curves, y=x2andx=y2 To find the volume of solid generated by these curves about x - axis.

Q: Find the volume of the solidgeneruted by revolving the region between the x-axis and the curve…

A: We first find where y=x2-2x and x-axis meets.x-axis means y=0.So, 0=x2-2xor, 0=x(x-2)or, x=0, 2 The…

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs…

A: Solution is given below

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 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 of revolution generated by revolving the region bounded by the graphs…

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Q: The volume of the solid obtained by revolving the region bounded by the curve y = x - x² and the…

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Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

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