Chapter 9: Q 25. (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 25. (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 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 32–47 convert the equations given in polar coordinates to rectangular coordinates.
In exercises 31-36 find a definite integral that represents the length of the specified polar curve, and then use a graphing calculator or computer algebra system to approximate the value of integral
In exercise 26-30 Find a definite integral that represents the length of the specified polar curve and then find the exact value of integral
The spiral
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