1. Use Green's theorem to evaluate (ex + y?)dx + (ey + x2)dy, where C is the boundary of the region between y = x and y = x. 2. Use Green's theorem to evaluate f(x2 + y2)dx + (x2 - y2)dy, where C is the triangle with vertices (0,0), (2,1) and (0,1). 3. Evaluate the line integral S x2dx + y?dy, where C consists of the arc of the circle x2 + y2 = 4 from (3,0) to (0,3), followed by the line segment from (0,3) to (5,4). 4. Evaluate the line integral S y3 dx + x2dy, where C is the arc of the parabola x = 8 - 2y2, from (0,-2) to (0,2). 5. Compute Jf xy dA, where R is the region enclosed by y = Vx, y = 6 - x, and y = 0. 6. Evaluate JJ (2 - x2)dA, where R is the region bounded by y = 1 + x2 and y = 9-x2. 7. Evaluate ff (7xy - 2y2) dA, where R is the region in the first quadrant bounded by y = x, y = */3 and x = 3. 8. Evaluate JJJ (x + y + z)dV, where S is the solid bounded above by the plane z = 2 - x - y, below by the plane z = 0, and laterally by the cylinder over the boundary of the triangular region R: 0