Chapter 9: Q. 12 (page 747)
What is the difference between a cardioid and a limacon?
Short Answer
The graph of equation is limacon if
If then the equation represents a cardioid.
Chapter 9: Q. 12 (page 747)
What is the difference between a cardioid and a limacon?
The graph of equation is limacon if
If then the equation represents a cardioid.
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Get started for freeUse Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32–37.
in exercise 31-36 find a definite integral that represents the length of the specified polar curve, and then use graphing calculator or computer algebra system to approximate the value of integral
one petal of the polar rose
Sketch the graphs of the equations
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What is the relationship between these graphs? What is the eccentricity of each graph?
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
Complete the square to describe the conics in Exercises .
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