Question 1:

Use Green's Theorem to evaluate / F - ds, where C F= 2 C is the boundary of the region enclosed by y = 3:1: :1: and the x-axis (oriented positively). Compute the flux of the vector field (as, -xy ), out of the rectangle with vertices (0,0), (4,0), (4,2), and (0,2)Calculate the flux of the vector field (a , y'), out of the annular region between the x'ty' = 9 and x2 +y = 36