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 freeIn Exercises 24–31 find all polar coordinate representations for the point given in rectangular coordinates.
In Exercises 60 and 61 we ask you to prove Theorem 9.23 for ellipses and hyperbolas
Consider the ellipse with equation where . Let be the focus with coordinates . Let and l be the vertical line with equation . Show that for any point P on the ellipse, , where is the point on closest to .
In Exercises 24–31 find all polar coordinate representations for the point given in rectangular coordinates.
In Exercises 24–31 find all polar coordinate representations for the point given in rectangular coordinates.
Consider the hyperbola with equation Let F be the focus with coordinates Let and l be the vertical line with equation Show that for any point P on the hyperbola, where D is the point on l closest to P.
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