Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the y-axis y=4x1/2 , y=0.5x, and x=2. Round off only on the final answer expressed in 3 decimal places.

Q: Determine the volume of the rotating object that occurs if the area of ​​the curve y1 = - x2 + 4 and…

A:

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

A:

Q: Revolve the region between y=x-x4 and y=0 about the y-axis. Find area

A: The given region is between y=x-x4 and y=0 and it is revolved around y- axis.

Q: Find the area of the surface obtained by rotating the line y = 19x + 6 about the x - axis from the…

A: Area of surface is evaluated.

Q: Find the radius of gyration of a plate covering the region bounded by y=3x, x=2, and the x-axis with…

A: Given: y=3x3   x=2

Q: Find the area of the region between the curves (x = y² ) and (x = y + 2 ) in the first quadrant.

A: The formula to find the area under the region between the curves is Area=∫y=ay=b[f1(y)-f2(y)]dy.…

Q: Find the area between the curves -16 = 4x- y and -10 = 2x-y.

A:

Q: Find the y²=x,x²-2x +3y=2 area between the two curves..

A:

Q: Find volume if area enclosed is rotated about y= -2.

A: To find the volume if the area enclosed by the below curves is rotated about y = -2.

Q: y = 6x² , y = 6/x

A: Given curves are: y=6x2 ; y=6x The points are: x=14 ; x=1 We know that the area (A) between the…