Thanks!! C is the curve given (in three parts) by the arc of the circle x2 + y2

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C is the curve given (in three parts) by the arc of the circle x2 + y2 = 4, z = 0 from (2, 0, 0) to (0,2, 0), followed by the arc of the circle y2 + z2 = 4, x = 0 from (0, 2, 0) to (0, 0, 2), and then by the arc of the circle x2 + z2 = 4, y = 0 from (0, 0, 2) to (2, 0, 0). Evaluate sin (x2) + y2, cos (y2) + 3z,esinz - 4x) middot dr. Let F(x, y, z) be a continuously differentiable vector field on the region { (x, y, z) | (x, y, z) (0,0,0)} with div F = 0, and for each r > 0, let rho (r) be the flux of F across the sphere of radius r centered at (0,0,0) with positive (outward) orientation. Evaluate lim r rightarrow infinity rho (r) / r. S is the part of the paraboloid z = x2 + y2 below the plane z = 4 oriented upward and F(x, y, z) = x2 + (sin z)ey sin(y2), xy, z . Evaluate F midot dS. S is the surface with parametric equations x = u + v, y = u2, z = 3v for (u, v) in the triangle with vertices (0,0), (1,0), (1,2). Evaluate (3xz - z2)dS.

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