Chapter 9: Q. 31 (page 775)
Areas of regions bounded by polar functions: Find the areas of the following regions. The area bounded by the function , where is a positive constant.
Short Answer
The area bounded by the function is
Chapter 9: Q. 31 (page 775)
Areas of regions bounded by polar functions: Find the areas of the following regions. The area bounded by the function , where is a positive constant.
The area bounded by the function is
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Get started for freeIn Exercises 24–31 find all polar coordinate representations for the point given in rectangular coordinates.
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
One petal of the polar rose
Explain why there are infinitely many different ellipses with the same foci.
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
Sketch the graphs of the equations
and localid="1649860998050"
What is the relationship between these graphs? What is the eccentricity of each graph?
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