Construire les courbes de paramétrisations :
1
\(\left\{\begin{array}{l} x=\frac{t^3}{(t+1)^2(t-1)}\\ y=\frac{t^2}{t^2-1} \end{array}\right.\)
2
\(\left\{\begin{array}{l} x=(t+2)e^{1/t}\\ y=(t-2)e^{1/t} \end{array}\right.\)
3
\(\left\{\begin{array}{l} x=(t-1)\ln(|t|)\\ y=(t+1)\ln(|t|) \end{array}\right.\)
4
\(\left\{\begin{array}{l} x=\frac{2t}{1+t^2}\\ y=\frac{t+2}{1-t^2} \end{array}\right.\)
5
\(\left\{\begin{array}{l} x=\frac{t}{t^2-1}\\ y=\frac{t+2}{(t-1)^2} \end{array}\right.\)
6
\(\left\{\begin{array}{l} x=\frac{t^3}{t^2-9}\\ y=\frac{t(t-2)}{t-3} \end{array}\right.\)
7
\(\left\{\begin{array}{l} x=\frac{t^3}{1+3t}\\ y=\frac{3t^2}{1+3t} \end{array}\right.\)
8
\(\left\{\begin{array}{l} x=t^2+t^3\\ y=t^2+t^3-2t^4-2t^5 \end{array}\right.\)