Let a b > 0 and set k = 2ab/a b. Show that the trochoid

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Let a ≥ b > 0 and set k = 2√ab/a − b. Show that the trochoid x = at − b sin t, y = a − b cos t, 0 ≤ t ≤ T has length 2(a − b)G(T/2, k), with G(θ, k) as in Exercise 30.


Data From Exercise 30

Let a > b and set k= Use a parametric representation to show that the ellipse ()+( = 1 has length L = 4aG(,

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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