Chapter 9: Q 47. (page 731)
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
Short Answer
The required equation is.
Chapter 9: Q 47. (page 731)
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
The required equation is.
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Get started for freeUse 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.
Use Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32–37.
Use Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32–37.
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 .
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