Chapter 9: Q.31 (page 747)
Graph the equations in Exercises 25–32 in the polar plane. Compare your graphs with the corresponding graphs in Exercises 17–24.
Short Answer
The required graph is as follows,
Chapter 9: Q.31 (page 747)
Graph the equations in Exercises 25–32 in the polar plane. Compare your graphs with the corresponding graphs in Exercises 17–24.
The required graph is as follows,
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Get started for freeUse polar coordinates to graph the conics in Exercises 44–51.
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.
Complete example 2 by evaluating the integral expression
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
Use Cartesian coordinates to express the equations for the hyperbolas determined by the conditions specified in Exercises 38–43.
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