A sprinter runs around a 400 m running track twice (distance \( =800 \mathrm{~m} \) ). They start in lane 1 and finish in lane 1 (start and finish in the same position). They complete the run in 2 min 20 sec . Calculate their average velocity (not speed!) and include the unit \( (\mathrm{m} / \mathrm{s}) \) ?

o) \( \lim _{n \rightarrow+\infty} \frac{\sqrt{n-\frac{1}{n}}-\sqrt{n}}{\left(e^{1 / n}-1\right)^{3 / 2}} \)

Convert the angle to decimal degree form. Round your answer to three decimal praces \( \begin{array}{ll}\text { a) } 5^{\circ} 22^{\prime} 53^{\prime \prime} & \text { b) }-234^{\circ} 40^{\prime}\end{array} \)

Given: \( f(x)=a^{x}-1 \) for \( a>0, \mathrm{~B}\left(2 ; \frac{-5}{9}\right) \) is a point on \( f \). 4.1 Walculate the value of \( a \). 4.3 Sketch the graph of \( f \). Clearly show the intercepts with the axes and asymptote if any. 4.4 It is further given that C is a point on \( f \) at \( y=\frac{19}{8} \). Determine the coordinates of \( \mathrm{C}^{\prime} \), the image of C , when C is reflected about the lin \( y=x \).

5) \( 0>x>4, x \) Can be

Culculate the area bounded by: 1. \( y=2 x+1 \), the \( x \)-axis, the \( y \)-axis and \( x=3 \).