[填空题]
Consider the curve dezod,im(l+ fdfxx 3 4+qfined by thet12p3jiyvfhplt:az zfe/7 25 equation $x^{5}+y^{5}=5 x^{2} y$ .
1. Show that $\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{2 x y-x^{4}}{y^{4}-x^{2}}$ .
The normal to this curve is parallel to the y -axis at the point where x=h, h>0 .
2. Find the value of h , giving your answer correct to two decimal places. ≈
