I just need the answer for c , d , and e.

MATH 2503-01 EXAM #2 Figure 1: The cycloid described in problem 4. 4. (24 points) The graph of the cycloid r(t) = (t - sin(t), cos(t) - 1) is shown in Figure 1 above. (a) Compute T and N, the unit tangent and unit normal vectors, respec- tively. (b) Determine the symmetric equations for both the tangent line and the normal line at t = 57/3. (c) For a particle moving along the cycloid, compute ar and ax, the tangen- tial and normal components of acceleration, at t = 57/3. (d) Compute the curvature of the cycloid at t = 57/3. (e) Determine parametric equations for the osculating circle at t = 57/3