2. A ball is thrown horizontally from a height of 1 m and lands 5 m away. a. What is the time of flight of the ball? b. What is the initial velocity of the ball?

The graph of \( f(x)=\log _{a} x \) where \( a>0 \), passes through the point \( (4 ;-2) \). 4.1 Show that \( a=\frac{1}{2} \) 4.2 Determine the equation of \( g \), if \( g \) is a reflection of \( f \) in the \( y^{-a x i s} \). 4.3 Determine the equation of \( f^{-1} \). in the form \( y=\ldots \ldots \). 4.4 Sketch the graphs of \( f \) and \( f^{-1} \) on the same set of axes. Label your graphs. Clearly show all intercepts with the axes and at least one other point on each graph.

(iii) \( \left\{\begin{aligned} x_{1}-5 x_{2}-x_{3}+12 x_{4}-x_{5} & =-4 \\ -2 x_{1}+10 x_{2}+3 x_{3}-33 x_{4}+2 x_{5}+x_{6} & =4 \\ x_{3}-9 x_{4}+x_{5} & =8 \\ x_{1}-5 x_{2}+2 x_{3}-15 x_{4}+2 x_{5}+x_{6} & =14\end{aligned}\right. \)

"Un biólogo marino encontró una especie de peces que viven a un profundidad de 1240 metros bajo el agua de cierto lago". 7) \( \quad \) La presión a dicha profundidad es: a) \( 11152 \mathrm{~N} / \mathrm{m}^{2} \) b) \( 12152 \mathrm{~N} / \mathrm{m}^{2} \) c) \( \quad 12152 \times 10^{3} \mathrm{~N} / \mathrm{m}^{2} \)

Add or subtract. Write in simple 1. \( \frac{1}{6}+\frac{1}{2}=\frac{a}{3} \)

Responder \( V \) of Justificen vespuesta. Si \( Q(x)=-3 \cdot x^{2} \) entonces \( Q\left(5 \cdot 10^{-6}\right)=7,5 \cdot 10^{-13} \)