5. ( 0.6 ptos.) Si Carol tiene 2400 pies de cerca pa- ra cercar un corral rectangular para caballos. Las dimensiones del rectángulo que lleve al máximo el área del corral de largo y ancho son respectiva- mente:

Sea \( f: R^{+} \longrightarrow R^{+} / f(x)=2 x^{2} \). ¿Es biyectiva

The rat population in a major metropolitan city is given by the formula \( n(t)=29 e^{0.01 t} \) where \( t \) is measured in years since 1994 and \( n \) is measured in thousands. (a) What was the rat population in 1994? (b) What is the rat population going to be in the year 2009?

Find all vertical asymptotes of the following functio \[ f(x)=\frac{4 x^{2}-1}{6 x^{2}-15 x-9} \]

Determine each feature of the graph of the given function. \[ f(x)=\frac{3 x+14}{2 x+3} \] Answer Horizontal Asymptote: \( y=\square \) Vertical Asymptote: \( x=\square \)-Intercept: \( (\square, 0) \) No ho \( x \)-intereept \( y \)-Intercept: \( (0, \square) \) No vo \( y \)-intercept Hole: \( (\square, \square) \) No hole

2. \( y=\left\{\begin{array}{ll}1, & \text { if } 0 \leq x<3 \\ 0, & \text { if } 3 \leq x<6 \\ -1, & \text { if } 6 \leq x<9 \\ -2, & \text { if } 9 \leq x<12\end{array}\right. \)