Find the volume of the solid obtained by rotating the region bounded by y = 8x + 48, y = 0, x = about the y-axis. Volume =

Q: Find the volume of the solid generated by revolving the region 2 bounded by y + 2v2x = (x+ v2)´and x…

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Q: 2) Determine the volume of the solid obtained by revolving the region bounded by y = 2x², y = 8, 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: Given curve is y=8x2 limits for integration are x=1 and the x-axis. The volume is given as…

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

A: Given, The graph of the curves is as follow:

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

A: Given Region is  y=8/x, y=0,x=1 and x=4

Q: Find the volume of the Solid generated by revolving the region bounded by y = L and the lines x 0.25…

A: Since, you have asked multiple questions in a single request, we would be answering only the first…

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

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

Q: Find the volume of the Solid generated by revolving the region bounded by y = 1 and the lines x =…

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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 of the solid obtained by rotating the region bounded by y = 2x + 16, y= 0, x = 0…

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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 use the Disk Method to find the volume

Q: DeteRmine the volume of the solid obtained by Rotating the Region bounded by the given CuRves about…

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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…

A: Solution:-

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

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

A: Volume of a solid generated by a region under f(x) bounded by x axis and a vertical line x=a and x=b…

Q: Determine the volume of the solid obtained by rotating the region bounded by: y=3√x, x = 8 and the x…

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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 formed by revolving the region bounded by the graphs of the equations…

A: Find out the volume of the solid formed by revolving the region bounded by the graphs of the…

Q: Find the volume of the solid form by the region bounded by the lines y = 16 – x, y = 3x + 12, and x…

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

A: We need some modification I'm original formula to solve this problem. Let's see what modification we…

Q: Find the volume of the solid generated by revolving about the y- axis the region bounded by the…

A: Given problem:- Find the volume of the solid generated by revolving about the y- axis the region…

Q: Compute the volume of the solid formed by revolving the region bounded by y = and y = 2 - 25 25…

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Q: y = x y = 12 – x, x = 0, about y -2 x > 0

A: Given that: y=x2,  y=12-x  ,  x=0,  about  y=-2,x≥0 The volume of the solid between the curves…

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

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

A: Given curves : y=4x, y=0, x=2, x=4 Volume of the solid generated by revolving the region bounded by…

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 graphs of the…

A: To find the volume of the solid generated by revolving the region

Q: Find the volume of the the solid formed by revolving the region bounded by y=5-x; y=0; about x-axis.…

A: Double integrating the region or integrating the area of a region gives the volume. Use proper…

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=x^3, y=8, and x=0 about…

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Q: Determine the volume of the solid obtained by rotating the region bounded by y = 2vx – 1 and y =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…

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

A: Given y=x ,y=0 ,x=2

Q: Find the volume of the solid generated by revolving the region bounded by the graphs 7) y = Vx – 2,…

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

A: Below is the solution to the question:-

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

A:

Q: 1. y = 2x2 – 2 and y = x² + x

A: Given:     fx=y=2x2-2      gx=y=x2+x   Volume of solid generated by revolving about x-axis is given…

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

A: Find the volume

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

A:

Q: Find the volume of the solid of revolution formed by rotating about the x-axis each region bounded…

A: fx=2-x2,  y=0 Put fx=0, we get 2-x2=0⇒x2=2⇒x=±2 Therefore the parabola fx=2-x2 meets the x-axis at…

Q: Find the volume of the solid generated by revolving the region bounded by y = 8x - x and y = x about…

A: Given curves are                                              y=8x-x2y=x…

Q: Find the volume of solid formed by revolving region by f(x)=x^(2/3), x=0, y=0, y=1 about the y-axis.

A: Given:

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

A: First solve y=0 to obtain the x limits y=036x-4x2=04x(9-x)=0x=0,9 Now use shell method with radius x…

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: Find the volume of the solid generated by revolving the region. 2 bounded by y + 2v2x = (x+ v2)´and…

A: Simplify the given equations  to obtain the expression of y. Use the algebraic identity…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs 7) y = Vx – 2,…

A:

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

A: Volume of the bounded curve along x-axis. Using disk method