   Chapter 10.4, Problem 43E

Chapter
Section
Textbook Problem

# Graphing a Polar Equation In Exercises 45-54, use a graphing utility to graph the polar equation. Find an interval for θ over which the graph is traced only once. r = 2 − 5 cos θ

To determine

To Graph:

The polar equation r=25cosθ by graphing utility and then find an interval for θ over which only graph is traced once.

Explanation

Graph: The Ti-83 calculator steps to plots the graph:

Step1: Press MODE Key and select POL mode.

Step2: Press the (Y=) button.

Step3: Type the function r1=25cosθ

Step4: Now press the (GRAPH) key and the graph is obtained.

The graph of polar equation is shown as below:

Calculation:

If θ=0r=3

If θ=π2r=2

If θ=πr=7

If θ=3

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