Convert the point with polar coordinates \( \left(2, \frac{5 \pi}{6}\right) \) to Cartesian coordinates. Enter exact values. The point is: Get help: Video

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? \( \begin{array}{ll}\text { A) Horizontal : } y=4 \text {, Vertical : } x=0, x=1 & \text { (B) Horizontal : } y=0 \text {, Vertical : } x=0, x=1 \\ \text { (C) Slant : } y=4 \text {, Vertical : } x=0 & \text { (D) Slant : } y=4 x-3 \text {, Vertical : } x=1\end{array} \)

\( y=\sqrt{\log (x+1)} \quad \operatorname{Domain}(y)= \) ?

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

NOW TRY EXERCISE 7 Graph each function, and give its domain and range. (a) \( f(x)=\sqrt{x+1} \)

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)