Chapter 9: Q. 34 (page 772)
Use Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32–37.
Short Answer
The equation is
Chapter 9: Q. 34 (page 772)
Use Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32–37.
The equation is
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Measurements indicate that the orbital eccentricity of Mars is and its semimajor axis is astronomical units.
(a) Write a Cartesian equation for the orbit of Mars.
(b) Do and have the same meaning as in Exercise 53?
(c) Give a polar coordinate equation for the orbit of Mars, assuming that the sun is the focus of the elliptical orbit.
In Exercises 24–31 find all polar coordinate representations for the point given in rectangular coordinates.
Complete the square to describe the conics in Exercises .
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Explain why there are infinitely many different ellipses with the same foci.
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