Find the volume of the region bounded by: y= 0 X =0 x - V3 that is rotated about the x-axis

Q: The volume generated when the region bounded by y = x, y = 1, x = 0 is rotated about x axis is -

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

A: Given: y=x4y=0,x=1

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: 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 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 region that results when the region bounded by the curve 4x=y^3 and the line…

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Q: Find the volume of the region that results when the region bounded by the curve x=y^3 and the line…

A: Find the cross sectional area and use it to find the volume.

Q: Find the volume obtained by rotating the bounded region defined by y = Vx y = 0 , and x = 4 around…

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Q: Find the volume of the solid generated by the area bounded by the curve y = x³,x = 1,x = 2 and y = x…

A: The volume of a region is the integration of the area of the region. It can be calculated using…

Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x – x³, x =…

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Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated…

A: This question can be solved by first plotting the graphs to get the feel of the area enclosed.

Q: Find the volume “V” obtained by revolutionizing the region between y=2√x  y  y=x around the x=-2…

A: To find volume obtained by revolutionizing the region between y=2x and y=x around x=-2. y=2xSquaring…

Q: Determine the volume of the solid of revolution which is formed when the area bounded by x = 0, y =…

A: Given curves are: fx=y=arctanx ; x=0 & y=1 From the dentition of the inverse function, we can…

Q: Find the volume obtained if the figure formed when the region bounded by y=x^2 and y = 2x is rotated…

A: NOTE: Refresh your page if you can't see any equations. . here have to find the intersection…

Q: Find the volume of the solid that occurs when the area bounded by the curve y = x, y = x2 is rotated…

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Q: Find the volume generated by revolving the area bounded by y = 1 - x³, OX and OY about the x-axis.

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Q: Find the volume generated by revolving the area bounded by y=ex, x=0 and y=0 about the y-axis.

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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: ) Find the volume formed by rotating the region enclosed by: x = 3y and y = x with y > 0 about the…

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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 generated by rotate the region R about x = -1, when the R bounded by y = 0.5x, y = 8…

A: Use the disk method :

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=2sqrt(x) ,x=0…

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: Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y = x^2,…

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Q: Find the volume of the solid generated by revolving the region bounded by y = x² + 1, y = x + 3…

A: Given that,  y = x2 + 1y = x + 3 The Axis of rotation = X-axis In the Disk/Washer method strip is…

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

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Find the volume formed by rotating the region enclosed by: 5y and y = x with y > 0 about the y-axis…

A: Given Data The first equation is x=5y. The second equation is y3=x.   Equate the given both…

Q: Compute the volume of the solid formed by revolving the given region about the given line. Region…

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Q: Find the volume of the region bounded by y=x^3 and y=x rotated about the x-axis.

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Q: Find the volume of the region bounded by: y = x2 +1 y 2 that is rotated about the liney

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Q: Determine the volume obtained by rotating the area enclosed by y = x(4 – x) and y 0 about the line x…

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Q: What is the volume of the solid obtained by rotating the region bounded by the graphs of y = Va =2-r…

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Q: Find the volume of the region bounded by the curve x=y2 , x = 0 and y=14 by using shell method

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Q: Find the volume obtained by rotating the area bounded by y=x^4 and y=1 around the line y=8

A: Graph y = x4, y = 1 and y = 8 to find the boundary points as follows.

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

A: The graph is where red curve represents y=x and blue line represents y=x.

Q: Find the volume of revolution obtained by rotating the region between the functions y Vx, x = 0, and…

A: We can draw this situation by graph: y

Q: Find the volume when the region bounded by the y=√(3x) and y=√(3−x) is rotated about the x axis.

A: To calculate the volume of the region bounded by the given curves when rotated around x-axis.

Q: Find the volume obtained by rotating the region bounded by the curves x = y² and y = x³ about the…

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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 obtained by rotating the region bounded by y=x and y=xl/2) about the…

A: Solution:Giveny=x and y=x12To find the Volume of the solidFormula:V=2π∫abR(x)h(x)dx

Q: Find the volume of the region bounded by: x y +1 that is rotated about the x-axis.

A: Use volume formula about x axis

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: Find the volume of the solid obtained by rotating the region bounded by y=x and y=sqrt(x) about the…

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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: Find the volume swept out by revolving the region bounded by the x-axis and the graph of x = 2t, y =…

A: Given that x = 2t and y = t(2–t). Obtain the interval of integration as follows.

Q: Find the volume obtained by rotating the region bounded by x = y² and ¤ = y around the r-axis. %3D

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Q: Find the volume obtained by rotating the region bounded by x = y^2 and x = y around the x-axis.

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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 y= √x and y=4x rotated about the y-axis.

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