Chapter 9.2, Problem 20E

To determine

To draw: the polar pattern.

Explanation of Solution

Given information:

The polar pattern is $r^2=9\sin 2\theta$ .

Graph: to draw the pattern, use the plotting point method,

$\theta$	$r$
$0$	$0$
$\frac{\pi }{2}$	$0$
$\frac{\pi }{4}$	$3$

By using the above table, and join the points,

The graph can be obtained as:

  

Interpretation: from the above graph it can be observed that the type of curve is lemniscate.