Rotate the coordinate axes .
The transformation will make a new graph.
Now simplify find the volume of the region around the x-axis.
(I will do this problem latter. Right now I am using one of my many computers. This one does not have a gprahing program.)
this describes your curve.
From conics you should be familar that a rotation of transforms,
Now the problem is that this curve is not a function (if I only had a graph) and the shell formula needs to curve to be a function. So I am going to divide this curve into two curves that are functions and add their rotational volume about the y-axis. In order to do that I will first need to bring this to the form . To do that I need to solve for .
First rewrite as,
(TO BE CONTINUED)