help asap

[lilkrazyrae]

The solid lies between planes perpendicular to the x-axis at x=0 and x=9. The cross sectionsperpendicular to the x-axis between these planes are squares whose bases run from the parabola y=-2sqrtx to the parabola y=2sqrtx

please help asap

 

[tkhunny]

Are we finding a volume?

Each Base is 2*(2*sqrt(x)) = 4*sqrt(x)
Each Square has Area [4*sqrt(x)]² = 16*x
Add them all up by integrating this expression from x = 1 to x = 9

Of course, I'm not sure what the units are on this project.

 

[Gene]

If I'm reading correctly and assuming you want the volume...
The sides of the squares are
4sqrt(x)
And the volume is
dV=16x*dx
You want to integrate from 0 to 9