Hello, jbuddenh!

I have a start on this problem ... but I'm puzzled.

. . Have I made an error ...severalerrors?

The following 4th degree polynomial in two variables encloses an oval shape in the x-y plane:

. Find the area of the oval.

We have: .

. . .

. . . . .

. . . . . . . . Convert to polar coordinates

. . . . . . . .

. . . . . . . . . .

Divide by

. . . . . . . . . .

. . which factors: .

. . and we have: .

But this is not an oval . . . We have two limacons.