Find the volume of the solid of revolution formed when the area of the region bounded by y3Dx2, x%3D3 and y=0 is revolved about x-0.

Q: Calculate exactly the volume of the solid obtained by rotating the area delimited by y=(x-2)^2 and…

A:

Q: Find the volume of the se

A: Given, the curve                   y2(a+x)=x2(a-x)

Q: Calculate the area of the region that lies between the line y=-1 and the parabola y = x²-6x-1,

A:

Q: The centroid of the area bounded by the parabola y^2 = 4ax and the line x = p coincides with the…

A: Please see the attachment

Q: b) y = x +1, y = x °+1 (in the first quadrant), about the x-axis. (method of shells)

A:

Q: Find the center of gravity of the region between the graphs of y = x + 2, y = -3x + 6, and y =…

A: We have to find the center of gravity of the region bounded by

Q: Find the area of the region enclosed by the curves y = x^2 − 1 and y = 7 − x^2.

A: