Find the volume of the region that lies below the parabola y2 = x and above the x-axis the interval when it is rotated about the x-axis.

Q: 6. Find the area of the surface generated when y = v4x + 6 is revolved about the x- axis on the…

A: 80π

Q: (2) Determine the intersection points of y=-x² +9 and y = 5. Then find the area bounded by this…

A:

Q: enclosed betw parabola y = x2

A:

Q: B) Find the area of the region enclosed by the Parabola y = 2 – x2 and the line y + x = 0 ?

A: The region is bounded by y=2-x2 and y+x=0

Q: Find the area of the region enclosed by the parabola y = 8x – x² and the x-axis.

A:

Q: Find the area of the region enclosed by the parabolas y = x² and y = 2x – x².

A: Draw the graph of two parabolas and shade the region between the two parabolas.

Q: Find the area of the region bounded by the curves, y = -6, y = 6 , the y – axis and the parabola y2…

A: