If 4x² - y² = 64, show that ds² = 1/2 (15x² (5x² - 16) dx².

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
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The function s is called the arc length function for y=f(x)
If 4x² - y² = 64, show that
ds2
=
1/2 (15x²
(5x² - 16) dx².
Transcribed Image Text:If 4x² - y² = 64, show that ds2 = 1/2 (15x² (5x² - 16) dx².
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