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 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.
Sketch the graphs of the equations
and localid="1649854142659"
What is the relationship between these graphs? What is the eccentricity of each graph?
Each of the integrals or integral expressions in Exercises represents the area of a region in the plane. Use polar coordinates to sketch the region and evaluate the expressions.
role="math" localid="1649518287481" .
Use Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32–37.
Use Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32–37.
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