Find the volume of the solid generated by revolving the region in the first quadrant bounded by the graphs of the equations y=x², y = 4, and x = 0 about the y-axis.

Q: Find the volume of the se

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

Q: Find the volume of the solid formed by revolving the area bounded by the parabola y2 = 9x and the…

A: We want to find the area bounded by the parabola y2 = 9x and the line y = 3x about the y-axis.

Q: Find the center of mass of a thin plate of constant density 8 covering the given region. The region…

A:

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 mass of a thin plate of constantdensity d covering the given region. The region…

A: The density of the thin plate is constant d. The is bounded by the parabolas y=2x2-4x and y=2x-x2.…