Chapter 9: Q 30. (page 730)
In Exercises 24–31 find all polar coordinate representations for the point given in rectangular coordinates.
Short Answer
The polar coordinates are , for any integer k.
Chapter 9: Q 30. (page 730)
In Exercises 24–31 find all polar coordinate representations for the point given in rectangular coordinates.
The polar coordinates are , for any integer k.
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Get started for freeUse polar coordinates to graph the conics in Exercises 44–51.
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 hyperbolas determined by the conditions specified in Exercises 38–43.
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 .
Explain why there are infinitely many different hyperbolas with the same foci.
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