$\"\"$

\

The vector is $\"\"$ at $\"\"$ .

\

(a)

\

Sketch the curve of the vector $\"\"$ .

\

Graph:

\

Graph the vectors $\"\"$ .

\

$\"\"$

\

$\"\"$

\

(b)

\

The vector is $\"\"$ .

\

Find the value of $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Therefore, $\"\"$ .

\

$\"\"$

\

(c)

\

Graph the position vector $\"\"$ and the tangent vector $\"\"$ at $\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$ .

\

Graph :

\

Graph of the vectors $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

(a)

\

Graph:

\

Graph the vectors $\"\"$ .

\

$\"\"$

\

(b) $\"\"$ .

\

(c)

\

Graph :

\

Graph of the vectors $\"\"$ and $\"\"$ .

\

$\"\"$