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 .
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Graph :
\Draw polar coordinate plane.
\Plot the points obtained in the table.
\Graph the polar equation .
Graph of the polar equation is