Show that if 0 (x) 1 for all x, then the arc length of y

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Show that if 0 ≤ ƒ(x) ≤ 1 for all x, then the arc length of y = ƒ(x) over [a, b] is at most √2(b − a). Show that for ƒ(x) = x, the arc length equals √2(b − a).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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