Q. 30 - Calculus

Question

Graph the equations in Exercises 25–32 in the polar plane. Compare your graphs with the corresponding graphs in Exercises 17–24.

$r=\theta , r\le 0$. 

Step-by-Step Solution

Answer

Required graph is as follows,

Step 1. Given Information.

The given polar equation is $r=\theta , r\le 0$$r=\theta , r\le 0$.

Step 2. Explanation.

We have $r=\theta$, r  is negative so points are plotted in the diagonally opposite quadrant.

So, graph of the equation is as follows,

Step 3. Compare the graph.

Graph of the equation in $\theta r-plane$ is as follows,