Find a parametrization of the lemniscate (left(x^{2}+y^{2}ight)^{2}=x y) (see Figure 23) by using (t=y / x) as
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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).
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