$1.$ Parameterize a line segment from point P $($x$0,$ y$0)$ to point Q$($x$1,$ y$1).$ Include the limits of the parameter.

$2.$ Parameterize an ellipse oriented counterclockwise with center $($h$,$ k$),$ x$-$radius a$,$ and y$-$radius b$.$ Include

the limits of the parameter.

$3.$ Parameterize a general curve y $=$ f $($x$)$ on domain a $$ x $$ b$.$ Include the limits of the parameter.

$4.$ Clearly and completely explain how to plot a a polar point $($r$,$ $).$ Include the possibility of both positive

and negative values of r and $.$

$5.$ State the form of a polar point that is located at the pole.

$6.$ Provide two polar points that plot to the same point as $($r$,$ $)$ for every r $>0.$

$7.$ State the four equations used to transform between Cartesian coordinates and polar coordinates.

$8.$ State the period of sine$,$ cosine, tangent, secant, cosecant, and cotangent.

$9.$ State the period that guarantees graphing a full polar curve.

$10.$ Function r $=1+$ cos has a point such that r $=2$ when $=0.$ Plot the point on the r$-$plane and on

the xy$-$plane. Label the axes in both pictures.

Chapter $1$ Parametric Equations and Polar Coordinates