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

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

20. (02-10-65) \( y=\sqrt{\left(5-x^{\frac{2}{3}}\right)^{3}} \) egri chiziqqa \( M(1 ; 8) \) nuqtada urinma o'tkazilgan. Bu urinmaning ko- ordinata o'qlari orasidagi kesmasi uzunligini top- ing. \( \begin{array}{llll}\text { A) } 5 \sqrt{5} & \text { B) } 10 & \text { C) } 5 & \text { D) } 7 \sqrt{3} \\ \text { E) } 5 \sqrt{7}\end{array} \)

a) Sketch the curve with equation where \( a \) is a constant and \( a>1 \) On your sketch show - the coordinates of the point of intersection of the curve with the \( y \)-axis - the equation of the asymptote to the curve.

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 \( L=0.35 \).

a) Sketch the curve with equation \[ y=a^{-x}+4 \] where \( a \) is a constant and \( a>1 \) On your sketch show