$\"\"$

(a)

The parametric equation are $\"\"$ and $\"\"$ over the interval $\"\"$ .

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

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

$\"\"$

Graph :

(1) Draw the coordinate plane.

(2) Graph the equations $\"\"$ and $\"\"$ for $\"\"$ .

$\"\"$

Indicate the obtained points on the graph.

Based on the values of $\"\"$ , indicate the direction of $\"\"$ as it increases with an arrow.

$\"\"$

(b)

Solve for the value of $\"\"$ :

$\"\"$

$\"\"$ .

Substiute the value $\"\"$ in $\"\"$ .

$\"\"$ .

The value of $\"\"$ lies over the interval $\"\"$ .

$\"\"$ .

Since $\"\"$ we have $\"\"$ .

Therefore, the cartesian equation is $\"\"$ , where $\"\"$ .

$\"\"$

(a)

The graph for parametric equations $\"\"$ and $\"\"$ :

Graph :

$\"\"$

(b)

The cartesian equation is $\"\"$ , where $\"\"$ .