a) Determine the circulation Is E = yzx - sin(y)y + xz2 V/m a possible electrostatic field in free space? Explain. b) In free space, find the electric field E and static charge density p(x, y, z) if the scalar potential is V = x2 sin(y)e- V. Briefly explain why E is a conservative field. c) Given E = 1x + sin(z)y + ycos(z)2 , determine the potential V(1, 2,3) if V(0, 0, 0) = 3 V