Is there a smooth (continuously differentiable) curve y = (x) whose length over the interval 0

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Is there a smooth (continuously differentiable) curve y = ƒ(x) whose length over the interval 0 ≤ x ≤ a is always √2a? Give reasons for your answer.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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