Chapter 9: Q. 13 (page 730)
Find all polar coordinates that represent the point given in rectangular coordinates.
Short Answer
The polar coordinates are for any integer
Chapter 9: Q. 13 (page 730)
Find all polar coordinates that represent the point given in rectangular coordinates.
The polar coordinates are for any integer
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Get started for freeIn 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 .
Sketch the graphs of the equations
and
What is the relationship between these graphs? What is the eccentricity of each graph?
In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.
Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.
Use polar coordinates to graph the conics in Exercises 44–51.
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