What is the volume of the solid generated when the region in the first quadrant bounded by the graph of y = 4/4 – x² and the x- and y-axes is revolved about the y-axis? A 24.609 B 67.021 268.083 D 496.100

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

A: We have to solve the given problem.

Q: Find the area of the region between the curves 4x + y^2 = 12 and x =y.

A: 4x+y2=12    and  x=y

Q: Find the area of the region bounded by y = 2x2 + 10, y = 4x + 16, x = -3 and x = 4.

A:

Q: Find the area of the plane region that lies below the line y = 2x and between the parabolas y= 2x^2…

A: Given Curves are:…

Q: Find the area of the region bounded by the graphs of the equations. y = 7x2 + 1, x = 0, x = 2, y = 0

A: