Q1 a) Express the vector field H = xyz ax + xyz ay + xyz az in cylindrical coordinate and determine H at (3,-4, 5) b) Let A = 2xy ax + xz ay-y az. Evaluate A dv over a cylindrical region p 3,0 z5 c) Evaluate the divergence and curl for the given vector F = pz cost ap + zsin az d) If F = x ax + y ay +(2 - 1) az, find J. F.ds, where S is defined by p = 2, 0