Please supply the following information before starting these problems.
1. What is if g(x,y,z) = x + y and S is the first octant portion of the plane 2x + 3y + z = 6 ?
21
2. Using the divergence theorem, what is if and S is the surface of the region bounded by the planes ?
24
42
3
15
3. Using the divergence theorem, what is the flux of through S if and S is the surface of the region bounded by the paraboloid and the xy-plane ?
4. Using Green's Theorem to evaluate the line integral
where C is the triangle with vertices (0,0), (1,0), and (0.1) gives
5. If and C is the curve given by ; what is ?
0
6
7
