$\"\"$

\

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

\

(a)

\

Graph:

\

Graph the parametric equations $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

(b)

\

Find $\"\"$ , $\"\"$ and $\"\"$ at the point $\"\"$ .

\

Consider $\"\"$ .

\

Apply derivative on each side with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

At $\"\"$ , $\"\"$ .

\

Consider $\"\"$ .

\

Apply derivative on each side with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

At $\"\"$ , $\"\"$ .

\

Find $\"\"$ .

\

Parametric form of derivatives: $\"\"$ .

\

$\"\"$

\

$\"\"$

\

At $\"\"$ , $\"\"$ .

\

$\"\"$

\

(c)

\

Find the point $\"\"$ at $\"\"$ .

\

At $\"\"$ , $\"\"$ .

\

At $\"\"$ , $\"\"$ .

\

Point on the curve is $\"\"$ .

\

Point slope form of line equation is $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Tangent line equation at $\"\"$ is $\"\"$ .

\

$\"\"$

\

(d)

\

Graph:

\

Graph the parametric equations $\"\"$ and $\"\"$ .

\

Graph the tangent line $\"\"$ and plot the point $\"\"$ .

\

$\"\"$

\

$\"\"$

\

(a)

\

Graph of the parametric equations $\"\"$ and $\"\"$ is

\

$\"\"$

\

(b) $\"\"$ , $\"\"$ and $\"\"$ .

\

(c) Tangent line equation at $\"\"$ is $\"\"$ .

\

(d) Graph of the parametric equations $\"\"$ and $\"\"$ and tangent line $\"\"$ is

\

$\"\"$ .