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To find: The graph of the polar equation , .
![Check Mark](/static/check-mark.png)
Answer to Problem 77AYU
Solution:
Graph of the polar equation , .
Given:
It is asked to find the graph of the polar equation , :
Explanation of Solution
Check for symmetry test:
Polar axis:
Replace by . The result is .
The test fails. So the graph may or may not be symmetric with respect to the polar axis.
The line :
Replace by . The result is
The test fails, so the graph may or may not symmetric with respect to the line .
The Pole:
Replace by . Then the result is , so . This test fails. Replace by . The result is
This test also fails, so the graph may or may not be symmetric with respect to the pole.
Let’s identify points on the graph by assigning values to the angle and calculating the The test for symmetry with respect to the pole, the polar axis, and the line fail. The graph pass through the pole at . With the help of graphing utility, the values in the following table can be obtained.
As the polar equation fails the symmetric test, find the values from 0 to .
0 | |
To sketch:
Chapter 9 Solutions
Precalculus
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