Find the volume of the solid generated when the region R ...



Find the volume of the solid generated when the region R bounded by the geven curves is revolved about the indicated axis. Do this by performing the following steps

A sketch the region R

B show a typical slice properly labeled

C write a formula for the approximate volume of the shell generated by this slice

D set up the corresponding integral

E Evaluate this integral

1. y= x^2 , x=I y=0 about the y axis

2. y=9 – x^2 ( x> 0 ), x=0 y=0

3. y=9-x^2 (x>0), x=0, y=o ; about the line x=3

4. y==x^2, y=3x ; about the y-axis

5. x = sqrt y + 1 y=4 , y=0 ; about the x-axis

6. x = sqrt 2y 1 , y= 2 x= 0 ; about the line y =3

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download