\( \mid \leqslant \quad \) Find the horizontal asymptote, if any, of the graph of the rational function. \( f(x)=\frac{-5 x-3}{2 x+2} \)

4. (a) Sketch the curve with equation \[ y=a^{-x}+4 \]

Sketch the curve with equation \[ y=a^{-x}+4 \]

1. In electricity, the impe circuit is given by the \( \sqrt{R^{2}+\left(\omega L-\frac{1}{\omega C}\right)^{2}} \) a) Make \( C \) the subject of b) Find \( C \) when \( Z=120 \), \( 310 \quad \) and \( L=0.35 \).

3. (20б) Постройте область: \( \left\{\begin{array}{l}1<|z-3-i| \leq 2 \\ \arg z \geq-\frac{\pi}{6}\end{array}\right. \)

20. Исследовать функцию и построить ее график: \( y=\frac{x^{3}-3 x}{x^{2}-1} \).