Chapter 9: Q. 24 (page 775)
The arc length of polar functions: Find the arc lengths of the following polar functions.
, where is a positive constant, for
Short Answer
The arc length is
Chapter 9: Q. 24 (page 775)
The arc length of polar functions: Find the arc lengths of the following polar functions.
, where is a positive constant, for
The arc length is
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Get started for freeUse Cartesian coordinates to express the equations for the hyperbolas determined by the conditions specified in Exercises 38–43.
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 hyperbolas determined by the conditions specified in Exercises 38–43.
In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.
In exercise 26-30 Find a definite integral that represents the length of the specified polar curve and then find the exact value of integral
The spiral
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