Find the volume of the region under the surface z = xy" and above the area bounded by a = y? and a +3y = 4

Q: Find the volume of solid generated by revolving the area bounded by y³=x, y=2 and x=0 about the…

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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: Find the volume of the solid generated by re-volving the region in the first quadrant bounded by the…

A: We need to find the volume of the solid generated by revolving the region in the first quadrant…

Q: Find the volume of the solid obtained by rotating about the x- axis oF the region bounded by y= x ,…

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

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

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Q: Find the volume of the solid generated by revolvi around x = 5 the region bounded by y = x² and y =…

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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 obtained by rotating the region in the first quadrant bounded by x = 0,…

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Q: , Find the volume of the solid. The region bounded by y = 2x – x² and y = x about a. The y – axis b.…

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Q: Find the volume of the region under the surface z = ry and above the area bounded by r y and x + y =…

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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 of the solid. The region bounded by y = 2x – x? and y = x about a. The y - axis b.…

A: a We have to find the volume of the solid      bounded by y = 2x-x2 and y=x about y-axisFor point of…

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: Find the volume of the solid formed by revolving the region bounded by the graphs y = √x and y = x^2…

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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 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 area in the first quadrant bounded by y = x^2,…

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Q: Find the volume of the region under the surface z = ry² and above the area bounded by x = y² and x -…

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Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y 1, and the…

A: Here, to find the volume of the solid whose base is the region in the first quadrant bounded by…

Q: Find the centroid of the volume formed by revolving about the x - axis the area bounded in the first…

A: Since the solid is formed by rotating an area about x axis, so the y and z coordinates are 0.

Q: Find the volume of the solid formed by rotating the area bounded by y = 1 the x- x+1 and y-axes, and…

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

A: Here is the solution of the given problem. DISK METHOD:

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: 2) Find the volume generated by the area bounded by y = x², y = 4x, revolved about x-axis.

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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: y = x² – 3x; y + x = 0 about the x-axis

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Q: Find the volume under z = x2 + y2 and above the bonded area by y = x, y = 1+x?, x = 0 and x 2 in the…

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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 solid generated when the region bounded by y = = 0, x(9 – x x = 7, and x = 8…

A: The given curve is,

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 V 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 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: Area bounded by y2 = x and x – y – 2 = 0, revolve about x = -1

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Q: 3) x= √y + 1, x= ²2 +1 Axis: x = 1

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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: y = Vx + 1 + x and the x-axis from x = 0 to x = 3 about the y-axis.

A: When rotating about y axis, we should use shell method to find the volume. The formula for volume is…

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 generated by revolving the area bounded by the given curves about the…

A: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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 bounded by z = 9 –x² – y² and z = 0. Give a numerical %3D answer.

A: Given that the region is bounded by z=9-x2-y2 and z=0. We know that the volume bounded between…

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 generated when the area bounded by the given curves and lines is…

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Q: Find the volume of the solid obtained when the region bounded by the line y = 2x, the line x = 3,…

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

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Q: x = 1 – y*, x = 0; about x = 5. Volumo

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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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