Convert the Cartesian coordinate \( (-5,-4) \) to polar coordinates, \( 0 \leq \theta<2 \pi, r>0 \) \( r=\square \) Preview \( \theta=\square \) Preview Get help: Video Video

\( y = \frac { x } { \log ( [ x ] + 1 ) } \quad \operatorname { Domain } ( y ) = ? \)

what is the range of the function with the following rale? \( \quad f(x)=3^{[x]-x} \)

The fox population in a certain region has an annual growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 23200 . (a) Find a function that models the population \( t \) years after \( 2000(t=0 \) for 2000). Your answer is \( P(t)=23200 \cdot(1.06)^{t} \) (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer should be an integer)

Find the standard form equation for a hyperbola with vertices at \( (0,6) \) and \( (0,-6) \) and asymptote \( y=\frac{3}{4} x \) \( \square \)

9. (3 points) What kind of asymptotes(s) does the function \( y=\frac{4 x^{2}+3 x-1}{x^{2}-x}=\frac{(4 x-1)(x+1)}{x(x-1)} \) have? \( \begin{array}{ll}\text { (A) Horizontal : } y=4 \text {. Vertical : } x=0 & x=1\end{array} \) B Horizontal \( y=0 \)