The annual amount of crude-oil production in a country (in millions of barrels) can be approximated by the function \( f(t)=1725(1.044)^{\mathrm{t}} \), where \( t=8 \) corresponds to the year 2008. (a) Find the amount of production in 2014 . (b) If the trend continues, find the amount of production in 2025 . (a) The amount of production in 2014 was \( \square \) million barrels. (Round to the nearest whole number as needed.)

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.

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: \( y=\frac{x^{3}-3 x}{x^{2}-1} \).

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