$\"\"$

The equations are $\"\"$ and $\"\"$ .

$\"\"$

Consider $\"\"$ .

Substitute $\"\"$ in the above equation.

$\"\"$

Table :

Construct a table for different values of $\"\"$ .

\ \

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

SInce the rectangular equation is $\"\"$ , the curve is defined for all real values of $\"\"$ .

The parametric equations are $\"\"$ and $\"\"$ .

Graph the curve.

Indicate the orientation of the curves.

Graph :

. Observe the above graph :

The domain of the rectangular equation needs to be restricted to all real values of $\"\"$ .

$\"\"$

Graph :

The domain of the rectangular equation needs to be restricted to all real values of $\"\"$ .