Chapter 11, Problem 19RE

To determine

To determine: The appropriate window and graph the polar curve on a graphing calculator.

Answer to Problem 19RE

The required window is $\left[-2,2\right]$ by $\left[-1.5,1.5\right]$ .

Explanation of Solution

Given information:

The equation: $r^2=\sin 2\theta$

Calculation:

The given equation is $r^2=\sin 2\theta$ .

The interval of the above equation is $0\le \theta \le \frac{\pi }{2}$ .

So, the window is $\left[-2,2\right]$ by $\left[-1.5,1.5\right]$ .

The required graph is shown below:

  

From the above graph it is seen that the required graph is a Lemniscate.

Hence, the required window is $\left[-2,2\right]$ by $\left[-1.5,1.5\right]$ .