Question
Find the length of the cycloid and show that the line
divides it in the ratio 1: 3.
Answer :
Word Count : 124
Consider the cardioid in polar form $r=a(1-\cos\theta)$ (the standard “cycloidal” cusp curve used in calculus problems). Its total length is _______ _________ ______ __________ ____ _________ __________.
______ _____ _________ ___ _______ ____ ____ _______ _________ _________ __________.
____ ________ ________ ________ _____ _________ ________ _______ ______.
__________ ____ ________ ___ __________ _________ ___ _____ ______.
________ __________ _____ _______ ____ __________ ____ __________ ____.
________ ___ _______ ________ __________ __________.
_____ _______ _______ _______ __________ _____ ______ ___ ________ ______ _____.
___ ____ _____ _______ __________ ________ __________ ______ ______ ___ _____.
________ _________ _____ __________ ________ ________ ______ _____ _______ __________.
___ _____ ________ _____ _____ ____ __________.
_______ __________ _________ _______ ___ _______ ____ _______.
_____ _______ _______ ______ _____ _______.
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Consider the cardioid in polar form $r=a(1-\cos\theta)$ (the standard “cycloidal” cusp curve used in calculus problems). Its total length is _______ _________ ______ __________ ____ _________ __________.
______ _____ _________ ___ _______ ____ ____ _______ _________ _________ __________.
____ ________ ________ ________ _____ _________ ________ _______ ______.
__________ ____ ________ ___ __________ _________ ___ _____ ______.
________ __________ _____ _______ ____ __________ ____ __________ ____.
________ ___ _______ ________ __________ __________.
_____ _______ _______ _______ __________ _____ ______ ___ ________ ______ _____.
___ ____ _____ _______ __________ ________ __________ ______ ______ ___ _____.
________ _________ _____ __________ ________ ________ ______ _____ _______ __________.
___ _____ ________ _____ _____ ____ __________.
_______ __________ _________ _______ ___ _______ ____ _______.
_____ _______ _______ ______ _____ _______.
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