Find a parametrization of the lemniscate \(\left(x^{2}+y^{2}ight)^{2}=x y\) (see Figure 23) by using \(t=y / x\) as a parameter (see Exercise 23). Then use Eq. (6) to find the area of one loop of the lemniscate.

Data From Exercise 23

Let \(x^{3}+y^{3}=3 x y\) be the folium of Descartes (Figure 22).

Transcribed Image Text:

fxdy=f-ydx = 1fxdy - ydx 2 area enclosed by C = =