Figure 20 shows one arch of a cycloid Its parametric equations (see Problem 18) are given by x a(t sin t), y a(1 cos t), 0 s t s 2 Iuml (a) Show that the area of the surface generated when this curve is revolved about the x axis is (b) With help of the half angle formula 1 cost 2sin2 (t 2), evaluat...

Figure 20 shows one arch of a cycloid. Its parametric equations (see Problem 18) are given by

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Figure 20 shows one arch of a cycloid. Its parametric equations (see Problem 18) are given by
x = a(t - sin t), y = a(1 - cos t), 0 s t s 2Ï€
(a) Show that the area of the surface generated when this curve is revolved about the x-axis is

(b) With help of the half-angle formula 1-cost = 2sin2 (t/2), evaluate A.

Figure 20 shows one arch of a cycloid. Its parametric

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Question Posted: Jun 21, 2016 10:08 AM

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Figure 20 shows one arch of a cycloid. Its parametric equations (see Problem 18) are given by

Question:

2 (1 cos t) dt 0 2a πα 2

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