Chapter 9: Q. 27 (page 775)
The arc length of polar functions: Find the arc lengths of the following polar functions.
Short Answer
The length of an arc is
Chapter 9: Q. 27 (page 775)
The arc length of polar functions: Find the arc lengths of the following polar functions.
The length of an arc is
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Get started for freeIn Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.
Complete the square to describe the conics in Exercises .
Sketch the graphs of the equations
and localid="1649860998050"
What is the relationship between these graphs? What is the eccentricity of each graph?
Use Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32–37.
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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