Chapter 9: Q. 34 (page 775)
Areas of regions bounded by polar functions: Find the areas of the following regions. The area bounded by one petal of
Short Answer
The area bounded by one petal is
Chapter 9: Q. 34 (page 775)
Areas of regions bounded by polar functions: Find the areas of the following regions. The area bounded by one petal of
The area bounded by one petal is
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Get started for freeMeasurements 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
Use Cartesian coordinates to express the equations for the hyperbolas determined by the conditions specified in Exercises 38–43.
Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
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