$\"\"$

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 :

Draw polar coordinate plane.

Plot the points obtained in the table.

Graph the polar equation $\"\"$ .

$\"\"$

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

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