Determine whether F is a conservative vector field and if so find the potential function. F(x, y) = 2xe^yi + x^2e^yj Use number 5 above and the fundamental theorem of line integrals to evaluate the given line integral: integral_(0,0) to (3,2)(2xe^y, x^2e^y) . dr (section 15.4) Use Green's theorem to evaluate the given line integral: closed integral(x^2y, -y^2x) . dr where C is the boundary of the region in the first quadrant, enclosed between the coordinate axes and the circle x^2 + y^2 = 16.
