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 parabolas determined by the conditions specified in Exercises 22–31.
Complete the square to describe the conics in Exercises .
In exercises 31-36 find a definite integral that represents the length of the specified polar curve, and then use a graphing calculator or computer algebra system to approximate the value of integral
Let . Show that the distance from any point on the graph of the curve with equation to the point
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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