Find the volume of the solid generated by revolving the region about the given line. The region in the first quadrant bounded by the line y = 2, by the line y = 2, and by the y-axis, about the line y = 2.

Q: Find the area of the region enclosed by the curves. 2 X y=x²-81 and y=+81

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Q: Find the volume by revolving the region of the curve xy = 6 from x = 2 to x = 4 about the x-axis. *…

A: volume of the required region is sum of area of disc from x=2 to x=4dA=π6x2 is the area of the disc…

Q: Find the volume of the solid formed by rotating the region Inside the first quadrant enclosed by…

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Q: 2.) Locate the X-X and Y-Y centroidal axes for the area shown. Assume the "circle" is aligned…

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Q: 1. Graph and shade the region enclosed by the curves x=(y-2) and y= x . Find the volume of the solid…

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Q: 8. The region enclosed by the circle with equation + y² = 5 and the +². line x = 1, shown shaded in…

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Q: Find the volume of the solid whose base is in the first and second quadrant(s) bounded by y = 32 –…

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Q: Find the volume of the solid generated when the region enclosed by y = Vx + 1, y = V5x, and y = 0 is…

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Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: Find the volume V of the solid obtained by rotating the region enclosed by the curves x = 5y2 and x…

A: first we need to identify the region which is enclosed. Then setting up the integral with right…

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

A: The given problem is to find the volume of the solid region formed by given equations x=y and x=y2…

Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 VI- x2 NOTE: Enter the exact…

A: Solution