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Chapter 9: Q. 12 (page 747)

What is the difference between a cardioid and a limacon?

Short Answer

Expert verified

The graph of equation r=a卤bcos胃r=a卤bsin胃is limacon if ab鈮�1

If ab=1then the equation represents a cardioid.

Step by step solution

01

Step 1. Given information

Two polar curves: Cardioid and limacon.

02

Step 2. The difference between the cardioid and limacon.

The graph of equation r=a卤bcos胃r=a卤bsin胃is limacon if ab鈮�1

If ab=1then the equation represents a cardioid.

For example r=2+2cos胃is a cardioid.

r=1+2cos胃is a limacon.

Limacon has a snail-like shape while cardioid has a heart like shape.

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