\( h ( x ) = 5 - 2 x ^ { 2 } , [ - 3,1 ] \)

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

Convert the polar coordinate \( \left(2, \frac{5 \pi}{6}\right) \) to Cartesian coordinates. \( \mathrm{x}=\square \) Preview \( \mathrm{y}=\square \) Preview

Rewrite the Cartesian equation \( 2 x+3 y=8 \) as a polar equation. \( r(\theta)=\square \) Preview Enter theta for \( \theta \) if needed. Get help: Video

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

Convert the Cartesian coordinate (2,5) to polar coordinates, \( 0 \leq \theta<2 \pi \) \( r=\square \) Preview Give the exact value for \( r \). \( \begin{array}{l}\text { Give } \theta \text { accurate to } 3 \text { decimal places. } \\ \text { Get help: Worked Example } 1\end{array} \)