Use Green's theorem to evaluate the line integral along the given positively oriented curve. ye dx + 2e dy, C is the rectangle with vertices (0, 0), (2, 0), (2, 6), and (0, 6) JcEvaluate the surface integral // F - d5 for the given vector field F and the oriented surface S. In other words, find the ux of F across 5. For 5 closed surfaces, use the positive (outward) orientation. 2 F(x, y, z) = xyi + yzj + zxk, S is the part of the paraboloid z = 2 x y2 that lies above the square 0 s x S 1, 0 s y s 1, and has upward orientation