Chapter 9: Q. 28 (page 747)
Graph the equations in Exercises 25–32 in the polar plane. Compare your graphs with the corresponding graphs in Exercises 17–24.
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in exercise 31-36 find a definite integral that represents the length of the specified polar curve, and then use graphing calculator or computer algebra system to approximate the value of integral
The entire limacon
Sketch the graphs of the equations
and
What is the relationship between these graphs? What is the eccentricity of each graph?
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.
Show that the eccentricity satisfies the equation.
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