Chapter 9: Q. 58 (page 773)
Prove Theorem 9.20 (b). That is, show that the graph of the equation satisfies Definition 9.19, where the points with coordinates are the foci of the hyperbola
Short Answer
Hence, proved
Chapter 9: Q. 58 (page 773)
Prove Theorem 9.20 (b). That is, show that the graph of the equation satisfies Definition 9.19, where the points with coordinates are the foci of the hyperbola
Hence, proved
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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.
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 .
Use polar coordinates to graph the conics in Exercises 44–51.
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
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