   Chapter 10.4, Problem 49E

Chapter
Section
Textbook Problem

# Graphing a Polar Equation In Exercises 43–52, use a graphing utility to graph the polar equation. Find an interval for θ over which the graph is traced only once. r = 2   cos ( 3 θ 2 )

To determine

To graph: The polar equation r=2cos(3θ2) with the help of graphing utility and then find an interval for θ where the graph is plotted only once.

Explanation

Given:

The polar equation is r=2cos(3θ2).

Graph:

Consider the polar equation,

r=2cos(3θ2)

The polar equation can be drawn with the help of graphing utility in Maple as shown below:

Interpretation:

The graph of the function is petal curve.

Now find the interval for θ where the graph is plotted only once.

Make the table for different values of the θ as shown below:

 θ 0 π 2π

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