Chapter 11, Problem 16RE

To determine

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

Answer to Problem 16RE

The window is $\left[-4,5\right]$ by $\left[-3,3\right]$ .

Explanation of Solution

Given information:

The equation: $r=2+\cos \theta$

Calculation:

The given equation is $r=2+\cos \theta$ .

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

So, the window is $\left[-4,5\right]$ by $\left[-3,3\right]$ .

The required graph is shown below:

  

From the above graph it is seen that the required graph is a Convex limacon; where $\frac{a}{b}=\frac{2}{1}\ge 2$ .

Hence, the window is $\left[-4,5\right]$ by $\left[-3,3\right]$ .