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Cycloid is the curve traced by a point P on the circumference of a circle...

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Advance Math

Cycloid is the curve traced by a point P on the circumference of a circle of radius a rolling along a straight line in a plane. See the figure. The parametric equation of the cycloid is

                       image

(a) Find the tangent to the cycloid at the point where \theta=\pi / 3

(b) At what points is the tangent horizontal? When is it vertical?

(c) Find the length and area under one arch of the cycloid.

Answer & Explanation Solved by verified expert
4.1 Ratings (597 Votes)
a Find the tangent to the cycloid at the point where thetapi 3To find the tangent of the cyloid consider    See Answer
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