3. Find an arclength parametrization of the tangent line to the cycloid at t = . 4. Find the value of t in (0,25) that m

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3. Find an arclength parametrization of the tangent line to the cycloid at t = . 4. Find the value of t in (0,25) that maximizes the speed of r(t).
1. Consider the vector-valued function r(t) = (t - sin(t), 1 - cos(()). Sketch r(t) from 0 to 27. 2. r(t) directly traverses a curve called a cycloid. Find the arclength of the cycloid from 0 to 27. 3. Find an arclength parametrization of the tangent line to the cycloid at t = . 4. Find the value of t in (0, 2) that maximizes the speed of r(t).