91Ó°ÊÓ

Find all answers rounded to the nearest hundredth. Use the polar to rectangular feature on the graphing calculator to change 2 \(\operatorname{cis}\left(45^{\circ}\right)\) to rectangular form.

Find all answers rounded to the nearest hundredth. Use the polar to rectangular feature on the graphing calculator to change 5 \(\operatorname{cis}\left(210^{\circ}\right)\) to rectangular form.

Some examples of a third parameter are time, length, speed, and scale. Explain when time is used as a parameter.

What is a benefit of writing a system of parametric equations as a Cartesian equation?

For the following exercises, eliminate the parameter \(t\) to rewrite the parametric equation as a Cartesian equation. $$\left\\{\begin{array}{l}{x(t)=5-t} \\ {y(t)=8-2 t}\end{array}\right.$$

For the following exercises, eliminate the parameter \(t\) to rewrite the parametric equation as a Cartesian equation. $$\left\\{\begin{array}{l}{x(t)=6-3 t} \\ {y(t)=10-t}\end{array}\right.$$

For the following exercises, eliminate the parameter \(t\) to rewrite the parametric equation as a Cartesian equation. $$\left\\{\begin{array}{l}{x(t)=2 t+1} \\ {y(t)=3 \sqrt{t}}\end{array}\right.$$

For the following exercises, eliminate the parameter \(t\) to rewrite the parametric equation as a Cartesian equation. $$\left\\{\begin{array}{l}{x(t)=3 t-1} \\ {y(t)=2 t^{2}}\end{array}\right.$$

For the following exercises, eliminate the parameter \(t\) to rewrite the parametric equation as a Cartesian equation. $$\left\\{\begin{array}{l}{x(t)=2 e^{t}} \\ {y(t)=1-5 t}\end{array}\right.$$

For the following exercises, eliminate the parameter \(t\) to rewrite the parametric equation as a Cartesian equation. $$\left\\{\begin{array}{l}{x(t)=e^{-2 t}} \\ {y(t)=2 e^{-t}}\end{array}\right.$$