Chapter 9: Q 57. (page 748)
Prove that, for every even integer n, the graph of is symmetrical with respect to the axis.
Short Answer
The polar equation is symmetric with respect to axis.
Hence it is proved.
Chapter 9: Q 57. (page 748)
Prove that, for every even integer n, the graph of is symmetrical with respect to the axis.
The polar equation is symmetric with respect to axis.
Hence it is proved.
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Get started for freeIn Exercises 24–31 find all polar coordinate representations for the point given in rectangular coordinates.
In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.
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?
Each of the integral in exercise 38-44 represents the area of a region in a plane use polar coordinates to sketch the region and evaluate the expression
The integral is
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