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Arc Length in Polar Coordinates dx' L = Remember: dt dt dt x =r cose For polar graphs: y =r sin 0 If we find derivatives and plug them into the formula, we (eventually) get: Length = {" * +() dr de

Arc Length in Polar Coordinates dx' L = Remember: dt dt dt x =r cose For polar graphs: y =r sin 0 If we find derivatives and plug them into the formula, we (eventually) get: Length = {" * +() dr de

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Hello,

I am trying to solve for the arc length of polar graphs over an interval, and I have seen the two different equations that are shown in the attached picture. My math teacher only showed the first equation in lecture, but this picture shows that eventually you get the second equation if you solve using the first equation. If the r(theta) function is known, is it more efficient to start off with the second equation instead of the first?

Arc Length in Polar Coordinates dx' L = Remember: dt dt dt x =r cose For polar graphs: y =r sin 0 If we find derivatives and plug them into the formula, we (eventually) get: Length = {" * +() dr de
Transcribed Image Text:Arc Length in Polar Coordinates dx' L = Remember: dt dt dt x =r cose For polar graphs: y =r sin 0 If we find derivatives and plug them into the formula, we (eventually) get: Length = {" * +() dr de
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