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.

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. \( \begin{array}{llll}\text { A) } 5 \sqrt{5} & \text { B) } 10 & \text { C) } 5 & \text { D) } 7 \sqrt{3} \\ \text { E) } 5 \sqrt{7}\end{array} \)

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

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

21. (03-2-23) \( y=\ln x \) funksiya grafigiga o'tkazilgan urinma koordinata boshidan o'tadi. Shu urinman- ing tenglamasini yozing. \( \begin{array}{lll}\text { A) } y=x & \text { B) } y=2 x & \text { C) } y=e x \\ \text { D) } y=\frac{z}{e} & \text { E) } y=3 x & \end{array} \)

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.