Let L be the arc length of the upper half of the ellipse with equation (Figure 21)

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Let L be the arc length of the upper half of the ellipse with equation

y = b a a-x

(Figure 21) and let η = 1 − (b2/a2). Use substitution to show that

L = a    - 1 sin0 do -/2 7

Use a computer algebra system to approximate L for a = 2, b = 1

-2 y 1 2 -X

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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