The plane curve represented by x(t) = t − sin(t), y(t) = 7 −cos(t), is a cycloid.
(a) Find the slope of the tangent line to the cycloid for 0 dydx(b) Find an equation of the tangent line to the cycloid at t=Ï€3(c) Find the length of the cycloid from t = 0 to t =Ï€2
(b) Find an equation of the tangent line to the cycloid at t=
(c) Find the length of the cycloid from t = 0 to t =
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