Problem 4: Let the curve C be parameterized by "(t) = (cos(t) + tsin(t), sin(t) - tcos(t)) for 0

Problem 4: Let the curve C be parameterized by F(t) = (cos(t) + t sin(t), sin(t) t cos(t)) for O t < N. (a) (c) (d) Find the speed function IIF II and simplify. Find the arc length of the curve C from F(t) (1, O) to F(t) as a function Of i. Find the point P that is 3 units away from (1, O) along the curve C. Find the curvature K Of C at the point F(t).