The volume of the surface generated by rotating the function f(x) (x > 1) around the x-axis is А. 2т В. п С. 2 D. 2 Е. 1 F. 0 B F

Q: Find the volume of the solid gen- erated by rotating the function - 14 f(x) = x(x – 10)(x + 3) -…

A: Given that, the function is fx=x-14xx-10x+3 and the region is x=1 to x=14. It is known that, the…

Q: y2- 4y + 2x = 0, x = 2 and x-axis

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Q: Find the volume of revolution obtained by rotating the area between the functions y = = x², x = 2…

A: Given: y=x2n=4y=2n=24=4y=0

Q: Find the volume of the solid generated by revolving the region by graph of function f(x) 10 ;x 1.25,…

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Q: Draw the area bounded by the function y = x^2 + 1 and the line y = 2, and then calculate the volume…

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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: For item 4-6, find the volume of solid generated by revolving the area bounded by the given curves…

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Q: The area bounded by the curve y = x,y% = 2x and y = 4 is revolved about the line x =-2 Determine the…

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Q: For y = x3-7x2+15x-9 from x=1 and x=2 and above the x-axis, find the volume that results from…

A: The volume of revolution of the area under the graph y=f(x) about the y-axis between the limits x=a…

Q: Find the volume of the region that is between x = 8 – z2 – y? and x = -V4y² + 4z²

A: b)the region bounded by surface x=8-y2-z2andx=-4y2+4z2inside the disky2+z2=4

Q: The volume generated by revolving the area bounded by the curve y = x² and y = 4 around the line y =…

A: We can use the formula π∫abR(x)2dx to evaluate the volume.

Q: Determine the volume of the solid of revolution formed by rotating the region bounded by the…

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Q: 3]. , Let V = ar²h, where V the volume of a right circular cone of radiusr and height h. Show that…

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Q: Calculate the volume calculated by rotating f(x) = x2 for x ∈ [1,3] about the axis of the x

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Q: Evaluate the volume of the surface of the shaped recreated by revolving the line y = 1/x as x goes…

A: Solution is written in below steps.

Q: 10. f(x) = Vr* + 1, [1,3)

A: For the solution follow the next step.

Q: Find the volume of revolution about the x -axis for the given function and interval

A: The definite integration of a small volume element will result in the total volume. This will be the…

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: The area bounded by y^2 + x - y = 1, y-axis, and the line 2y = 9 is revolved about the line x = 1…

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Q: Compute the volume generated by the curve = 4 y = z about x-axis between x = 2 and x x2

A: Given curve is  revolved around x-axis ,so now we will find volume generated by intigration between…

Q: Calculate the volume calculated by rotating f(x) = x2 for x ∈ [1,3] about the axis of the x.

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Q: A solid is constructed between the graphs of y = f(x) and y = g(x) and the lines a = a and a = b so…

A: Let a triangular slice with thickness dx at a distance of x from the origin. The height of the…

Q: Find the volume in the first octant between z=9-x^2-y^2 and the cylinder x^2+y^2=1.

A: The given surfaces can be plotted as follows: Thus, the required solid will be R=x, y, z: 0≤x≤1,…

Q: Find the surface area of the volume generated when of y = x3, on the interval [0, 1], is revolved…

A: We have to find the surface area of the volume generated by the curve by rotating about the y axis.

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 obtained by rotating f(x) = x(1 – x) around the x-axis.

A: Given             f(x)=x(1-x) and y=0

Q: Find the volume of the area bounded by the line y = 3x + 4 and the curve y = x² if it is revolved…

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Q: Find the volume between the cylinders x+y =1 and the cylinder x* +z* = 1 in the first octant. 2

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Q: Find the volume of the solid whose base is bounded by the given function with the indicated cross…

A: 1. Given: x2+y2=4, quarter-circlesx=±2 are the limitsy=4-x2volume =π∫aby2dx

Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 7x5 on the…

A: Given function,

Q: Find the volume of: the area bounded by the curve y2 = 9x and the line x = 4 revolved about x = 4.

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Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 51 and the upper cone z2 = 3x2…

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Q: The area bounded by the parabola y² + x - 2y = 1, the x — axis, and the line x = 2 revolves about…

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Q: The volume of a right circular cone of radius x and height y is given by V - Tx², 'y. Suppose that…

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Q: Compute the volume generated by the curve y = 2 about x-axis between x = : 4 2 and x = 4 Answer:

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Q: Determine the volume of the solid generated by rotating function f(x)=1/x about the x-axis bounded…

A: To find the volume

Q: Set up the equation in solving volume of the the area bounded by x = /y, x = 0, and 3 revolution at…

A: Given that: x=y, x=0, y=3    and revolution around y-axis.   NOTE: As per our answering guidelines,…

Q: Find the volume (in cubic units) of the region bounded by the curves y' = 4x and the line X = y when…

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Q: Compute the volume of the solid obtained by revolving the graph of the function f(x)=8x$ on the…

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Q: Find the volume generated when the area bounded by the curve y2=x , the line x=4 and the x-axis is…

A: Volume bounded by the curves, about y-axis.using Disk method

Q: Compute the volume of the solid formed by rotating the region bounded by the given functions about…

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Q: Find the volume of the solid. y=9-x2, y=0, about the x-axis

A: The given solid is bounded between the curve y=9-x2, y=0,  rotating about the x-axis. Volume of the…

Q: Sketch the area bounded by the function y = x^2 + 1 and the line y = 5, and then calculate the…

A: Volume of revolution

Q: Compute the volume of the solid obtained by revolving the graph of the function f(x)= 9x5 on the…

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Q: Find the volume of the 'ice-cream' that is bounded by x² + y2 + z2 = 10 and the upper cone z2 = 4x2…

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Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 8x³ on the…

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