The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 22000 . (a) Find a function that models the population \( t \) years after \( 2000(t=0 \) for 2000). Hint: Use an exponential function with base \( e \). Your answer is \( P(t)= \)

Rewrite the Cartesian equation \( x=6 \) as a polar equation. \( r(\theta)=\square \) Enter theta for \( \theta \) if needed.

Convert the Cartesian coordinate \( (-4,6) \) to polar coordinates, \( 0 \leq \theta<2 \pi \). \( r=\square \) Enter an exact value. \( \theta=\square \)

Convert the Polar coordinate \( \left(8, \frac{5 \pi}{6}\right) \) to Cartesian coordinates. Enter exact values. \( \mathrm{y}=\square \)

Convert the Cartesian coordinate \( (1,-2) \) to polar coordinates, \( 0 \leq \theta<2 \pi \) \( r=\square \) Enter exact value. \( \theta=\square \)

Convert the Cartesian coordinate \( (1,5) \) to polar coordinates, \( 0 \leq \theta<2 \pi \) \( r=\square \) Enter exact value. \( \theta=\square \)