1. (5 pts) Let F = (3.1:2 + 4323/, 2:52 6:11) be a vector eld and C be the part of the unit circle in the rst quadrant oriented counterclockwise. Use this to answer the following questions. (a) Show that 13\" is conservative. (b) Find a. potential function f such that F\" = V f Work: (0) Use the fundamental theorem of line integrals to evaluate /F-dr" C 2. (5 pts) Use Green's Theorem to evaluate the line integral fy3dxx3dy 0 when 0' is the circle of radius 2 centered at the origin oriented in the positive direction. Work