Chapter 12, Problem 11CLT

To determine

Identify the type of graph.

Answer to Problem 11CLT

The graph is Limacon with inner loop.

Explanation of Solution

Given information:

Sketch the graph of the polar equation. Identify the type of graph.

  $r=2+5\cos \theta$

Calculation:

Consider the given polar equation,

  $r=2+5\cos \theta$

Now plot the point on polar plane by using Use graphic utility $TI-83$ calculator to draw the graph.

Press mode and select Polar. The display will be,

  

Press $Y=$ and type the value of $r$ . The display will be,

  

Now press window and select proper scale,

  

Now press graph.

  

The graph is identified as Limacon with inner loop.