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What is the difference between a cardioid and a limacon?

Short Answer

Expert verified

The graph of equation r=a±bcosθr=a±bsinθis limacon if ab1

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±bcosθr=a±bsinθis limacon if ab1

If ab=1then the equation represents a cardioid.

For example r=2+2cosθis a cardioid.

r=1+2cosθis a limacon.

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

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