Use the parametric equations x = a( - sin) and y = a(1 - cos ), a

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Use the parametric equations x = a(θ - sinθ) and y = a(1 - cos θ), a > 0 to answer the following.
(a) Find dy/dx and d2y/dx2.
(b) Find the equation of the tangent line at the point where θ = π/6.
(c) Find all points of horizontal tangency.
(d) Determine where the curve is concave upward or concave downward.
(e) Find the length of one arc of the curve.

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Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

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