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The plane curve represented by x(t) = t − sin(t), y(t) = 7 − cos(t), is...

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Basic Math

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

dy
dx

(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

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