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Arc length Find the length of the hypocycloid (or astroid)

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 41E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 41E

Arc length Find the length of the hypocycloid (or astroid) x2/3 + y2/3 = 4.

Step-by-Step Solution:

Problem 41E

Arc length Find the length of the hypocycloid (or asteroid) .

Step 1</p>

In this problem we have to find the length of the hypocycloid

The arc length is  … (1)

We have

Differentiating both sides with respect to , we get

     

… (2)

Step 2 of 2

Chapter 7.7, Problem 41E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Arc length Find the length of the hypocycloid (or astroid)

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