$\"\"$

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.

The equation $\"\"$ is defined for all values of $\"\"$ .

The $\"\"$ value is $\"\"$ when $\"\"$

(c)

Graph the polar equation.

Graph the polar equation $\"\"$ .

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

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

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

Graph :

Draw polar coordinate plane.

Plot the points obtained in the table.

Graph the polar equation $\"\"$ .

$\"\"$

Graph the polar equation $\"\"$ .

$\"\"$