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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Get started for freeIn 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 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.
Use polar coordinates to graph the conics in Exercises 44–51.
Measurements indicate that Earth’s orbital eccentricity is and its semimajor axis is astronomical units.
(a) Write a Cartesian equation for Earth’s orbit.
(b) Give a polar coordinate equation for Earth’s orbit, assuming that the sun is the focus of the elliptical orbit.
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