Complete the worksheet. Instructions for submitting your assignment are $at$ the end $of$ this document.

Consider the parametric equations $x=t^2,y=\frac{1}{1+t}on$ the interval $0t3.$

$(a)$ Complete the following table based $on$ the parametric equations.

$(b)$ Using the table, sketch a graph $of$ the parametric equations. Make sure you indicate the

orientation $of$ the curve. Consider the polar curve $r=3cos(\frac{}{2})on$ the interval $02.$

$(a)$ Complete the following table based $on$ the polar curve. Note: $x$ and $y$ represent the $xy-$

coordinates $of$ the polar point $(r,).(b)$ Using the table, sketch a graph $of$ the polar curve. Using a graphic utility, sketch a graph $of$ the polar curve $r=3co{s}^2()+sin()on$ the

interval $02.$ One graphing utility you could use $is$ Desmos. $On$ the Desmos site, click the

three lines $at$ the top left $of$ the page and choose one $of$ the Polar options $to$ get started.

For help with Desmos, click $on$ the Help icon $(?)$ and watch the video tutorials.