Okay so I'm having trouble formulating this integral. The region is bounded by:
$\displaystyle {x}^{2}-{y}^{2}=7$ and $\displaystyle x=4$
rotated about: $\displaystyle y=5$
I tried using shells.. It didn't really work for me
Thanks,
CC
Okay so I'm having trouble formulating this integral. The region is bounded by:
$\displaystyle {x}^{2}-{y}^{2}=7$ and $\displaystyle x=4$
rotated about: $\displaystyle y=5$
I tried using shells.. It didn't really work for me
Thanks,
CC
volume by the method of washers ... a washer is a disk with a hole in it.
$\displaystyle V = \pi \int_a^b [R(x)]^2 - [r(x)]^2 \, dx$
The Washer Method for Solids of Revolution
$\displaystyle x = \sqrt{7}$ is the vertex of the hyperbola at the left end of the defined region to be rotated.
$\displaystyle x = 4$ is the right boundary of the region to be rotated.
I recommend you meet with your instructor ... this is all very basic material which should have been covered in class.