$\"\"$

The function is $\"\"$ .

(a)

Type of curve and symmetry.

The equation is in the form of $\"\"$ , where $\"\"$ and $\"\"$ .

The function represents Spiral of Archimedes.

Then, Replace $\"\"$ is $\"\"$ .

Substitute $\"\"$ in the function.

$\"\"$

The function is not symmetric.

$\"\"$

(b)

Maximum $\"\"$ -value and zeros.

Sprials are unbounded.

Therefore the function has no maximum.

Then $\"\"$ value is $\"\"$ when $\"\"$ .

(c)

Graph the polar equation.

Graph the polar equation $\"\"$ .

Draw a table considering points in the interval $\"\"$ .

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

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

Graph :

Graph the polar equation $\"\"$ .

$\"\"$

Graph of the polar equation $\"\"$ is

$\"\"$