Let C be the parametrizatio y(t) = (cost + tsint, sint - tcost) for t E (0, 00). (a) Use the formula in Q.2 of Exercises 3 to find the evolute curve e(s) of a unit-speed reparametrization y(s) of the given curve C. (b) Find the involute (s) of the curve e(s) found in part (a) for & = 37 using the formula in between Q.3 and Q.4 of Exercises 3 for s E (0, 21). (c) Prove that the tangent lines of (s) and e(s) in parts (b) and (c) are per- pendicular at each s E (0, 2x) symbolically without computation