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

Q: FIND THE VOLUME OF THE SOLID OBTAINED BY ROTATING THE REGION BOUNDED BY y = -10 + 6 x - x ², X = 1…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = -6 + y? and x = y about…

A: The solution are next step..

Q: Find the volume of the solid that results when the region bounded by x = y and x = y + 12 is…

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Q: Find the volume of the region bounded above by the sur-face z = 4 - y2 and below by the rectangle R:…

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded byy = x² and…

A: If y=f(x) is a function, then the independent variable x is called the input of the function, and…

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: 2. Find the volume of the region bounded by y = vx and y 4x rotated about the x-axis.

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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 obtained when the region bounded by the curves y = x^4 − 2x and y = 0…

A: We have to find the volume of of the solid of revolution of the region bounded by the curves y=x4-2x…

Q: Find the volume of the region between the planes x+y + 2z =2 and 2x + 2y +z = 4 in the first octant.

A: Find the volume of the region between the planes  x +y + 2z = 2 ......... (1)  and  2x + 2y +z =4…

Q: Find the volume of the solid obtained by rotating the region bounded by -2+ y² and x -4. Round to…

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Q: Find the volume of the region above the xy-plane, inside the cone z = 18 – Vx² + y² and inside the…

A: We have to find the volume of the region bounded by the xy-plane, inside the cone, and inside the…

Q: what is the volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0 is…

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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 x = -6+ y² and a y about the…

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Q: Find the volume of the solid of revolution formed when the area of the region bounded by y3Dx2,…

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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: What is the volume of the solid whose 1 30 cross-sections are squares perpendicular to the x-axis…

A: Given: The region bounded by the curves are: y=x and y=x The cross-sections are squares…

Q: Find the volume when the region bounded by y = 2x², x = 0, x = 4, and y = 0 is revolved about the…

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Q: 4. 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 whose base is the region bounded between the curve y = x2 and the…

A: Given that the solid whose base is the region bounded between the curve y = x^2 and the x-axis from…

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: What is the volume of the solid generated by revolving about the x-axis, the region bounded by y =…

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Q: Find the volume of the solid generated when the region bounded by y = 4x and y = 16VX is revolved…

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Q: Find the volume of the solid generated when the region bounded by y = 9 – x and y = 2x + 6 is…

A: To find the volume of solid generated by revolving around the x axis

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

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Q: Find the volume of the region above the xy-plane, inside the cone z = 14 – Vx² + y² and inside the…

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Q: Find the volume of revolution from the region bounded by y=x, x+y=6 and y=1, being revolved around…

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Q: What is the volume of the solid generated when the region bounded by the graph of x = √y - 2 and the…

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Q: Find the volume of the solid generated when the region bounded by y=4x and y=16sqrt(x) is revolved…

A: The given curves are: y=4x    and    y=16x The intersection point of both curves are: (0,0)  and…

Q: Find the volume of the solid that results when the region enclosed by x = y2 and y = x is revolved…

A: Find the volume of the solid that results when the region enclosed by x =y2 and y = x is revolved…

Q: Find the volume of the region enclosed by z = 1 – y and z = y² – 1 for 0 < x < 42. - V =

A: To find the volume of the region enclosed by z=1-y2 and z=y2-1 for 0≤x≤42

Q: Find the volume of the region. the region bounded by z = x2 + y2 and z = 16 − x2 − 2y2

A: The surface meet when x2 + y2 =16 − x2 − 2y2 or 2x2 + 3y2=16. Writing down the given volume first in…

Q: Find the volume generated by rotating the region between the graphs of y = 2 - x, x = 0, and the…

A: Consider the provided region, y=2-x,x=0 Find the volume generated by rotating the region between the…

Q: Find the volume of a solid extending from y = 2 to y = 5 if every cross section has area A(y) = 5.

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Q: Determine the volume of the solid (NX6. 2) obtained by revolving the region bounded by x + 2y² + 3 =…

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Q: Find the volume of the solid obtained by rotating the region bounded by  y = 35x − 7x2  about the…

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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 ,The region between the planes x + y + 2z = 2 and 2x + 2y + z = 4 in the first…

A: Given planes are

Q: What is the volume of the solid obtained by revolving about the x-axis the region bounded by y - 2x2…

A: The general formula for the volume of solid is v=∫abπ(upper curve2-lower…

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 x = 3 - y and x = -2y about…

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Q: Find the value of the volume of solid region of bounded by  X^2 +y^2 =9 Z=sqrt (36 - x^2 - y^2)

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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 : x=-8+y2 , x=2y  and x=-9. Therefore, -8+y2=2y⇒y2-2y-8=0⇒y2-4y+2y-8=0⇒yy-4 +2y-4 = 0⇒y-4y+2 =…

Q: Find the volume of solid formed when the region bounded by y = x² and y = Vx are revolved about…

A: To find the volume of solid formed when the region bounded by y=x2 and are revolved about x-axis…

Q: Find the volume of the solid formed by invoving the region by the graphs y=x^3 , x = 1 , about x = 2

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

Q: Find the volume of the solid that results when the region bounded by y = x and y = x², from x = 0 to…

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Q: Find the volume of the region bounded by z = x² + y² and z = 2x

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Q: Find the volume of the region bounded by y= √x and y=4x rotated about the y-axis.

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