Z 1 (4.4) (Professional Problem) Let F(I, !) = - 12 + 1/2' 12+ 1- and define(C) = F . ds. C (a) Let a = (cos(), sin(@)) be a point on the unit circle. Letbe the curve which starts atand circles the origin times in a counterclockwise direction along the unit circle. Verify by direct computation that"(C) = n. Note that n need not be an integer. IfC traverses three-quarters of the way around the circle, for example, then w(C) = 3/4