The plane curve represented by x(t) = t – sin(t), y(t) = 9 - cos(t), is a cycloid. (a) Find the slope of the tangent line to the cycloid for 0 < t < 2n. dy %3D dx (b) Find an equation of the tangent line to the cycloid att = (c) Find the length of the cycloid from t = 0 to t = 2 im

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