91Ó°ÊÓ

Use the Implicit Function Theorem to analyze the solutions of the given systems of equations near the solution 0. $$ \left\\{\begin{array}{l} (u v)^{4}+(u+s)^{3}+t=0 \\ \sin (u v)+e^{v+t^{2}}-1=0, \quad(u, v, s, t) \text { in } \mathbb{R}^{4} \end{array}\right. $$

Use the Implicit Function Theorem to analyze the solutions of the given systems of equations near the solution 0. $$ \left\\{\begin{array}{l} x+2 y+x^{2}+(y z)^{2}+t^{3}=0 \\ -x+z+\sin \left(y^{2}+z^{2}+t^{3}\right)=0, \quad(x, y, z, t) \text { in } \mathbb{R}^{4} \end{array}\right. $$