The region bounded by x=2- y² and x= y* is rotated about the y-axis. Find the volume of the resulting solid.

Q: Find the volume of the solid generated by the region bounded by y - x² = -3,x+y = 3 about y = -5.

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Q: Calculate the volume of the solid obtained by rotating the region bounded by y = x2 + 1 and y = 3 –…

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Q: Find the volume of the solid obtained when the region bounded by the x-axis, the y-axis, and the…

A: The given problem is to find the volume of the solid obtained when the region bounded by given…

Q: Find the exact value of the volume of the solid obtained by rotating the region bounded by…

A: We have to find the volume of the solid obtained by rotating the region bounded by y=5sqrt(x), x=0,…

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

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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 formed by rotating the region enclosed by у 3 е + 5, у — 0, х — 0, х —…

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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: What is the volume obtained by rotating the region bounded by x = (y - 3)½ and y = 2x2 + 1 around…

A: Here we use basic definition of volume .

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 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 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 obtained by rotating the region bounded by the given curves about the…

A: We will use the Disk Method to find the volume

Q: Find the volume of the solid generated by rotating about the x-axis the region bounded by y = 3.5*,…

A: TO FIND THE VOLUME OF THE SOLID GENERATED BY ROTATING ABOUT X - AXIS y =(3.5)x , x=-1, x=1 and the…

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 obtained by rotating the region bounded by y = 6x², x = 2, x = 5 and y…

A: Use formula about x axis

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: 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 graphs of y =|cosx , x=0,…

A: Given : y = |cos x|

Q: Find the volume of the solid generated by rotating about the x-axis the region bounded by y = 4°, x…

A: Find the volume of the solid generated by rotating about the x-axis the region bounded by y=4^x…

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: 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 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 generated by revolving the region bounded by the given lines and curves…

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Q: The volume of the solid generated by revolving the region bounded by axis is given by : 2 y = x +…

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Q: Find the volume of the solid obtained by rotating this region about the line x = 3.

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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 whose base is the region bounded by the semicircle y = 1– x² and the…

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

A: Given: The region between the curve y=x and y=x^2   The volume of the region revolving about the…

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 obtained by rotating the region bounded by y=x^3, y=8, and x=0 about…

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Q: find the volume of the solid obtained by rotating the region enclosed by the graphs aboutthe y-axis…

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Q: Find the volume of the solid generated by revolving around the y- axis, the region bounded by 1 y =…

A: According to the Q&A guideline, only the first question can be solved. Please repost rest…

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

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

A: Given x=y2 ,x=y find the volume of the solid about y- axis

Q: Find the volume of the solid generated by revolving around the y- axis, the region bounded by 1 y =…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 9x2, x = 4, x = 5, and y…

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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 solid obtained by rotating the region bounded by y = 4x², x = 1, and y = 0,…

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Q: Determine the volume of the solid obtained by rotating the region bounded by y= 2x2 and y = x³ about…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 8 – y² - and x 2y about…

A: Given the region is bounded by the curves x=2y and x=8-y2 about the line x=9. The curves intersect…

Q: Determine the volume of the solid obtained by rotating the region bounded by y= x2-4x+5, x=1, x=4…

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

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Q: Find the volume of the solid obtained by rotating the region bounded by y 5x-x2 and y-x about the…

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Q: Find the exact value of the volume of the solid obtained by rotating the region bounded by y=6(x^2),…

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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 obtained by rotating the region bounded by -6+ y² and x = y about the…

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Q: Find the volume of the solid formed by rotating the region bounded by y = x² + 3, x = 0, x = 2, and…

A: The solid is formed by rotating the region y=x2+3, x=0, x=2 and y=0about the x-axis