To calculate: The length of the cardioid
Answer to Problem 75E
The arc length of the cardioid
Explanation of Solution
Given information: The given equation of the curve is
Formula used: The formula for the arc length of a polar curve is given by
Calculation:
For the cardioid
The cardioid is symmetric about the
Apply in the formula of arc length of the curve.
Further simplify.
Therefore, the arc length of the cardioid
Chapter 10 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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