Let S be the portion of the cylinder y = e" in the first octant that projects parallel to the x-axis onto the rectangle Ryz: 1 Sys3, 0 Szs 1 in the yz-plane N (see the accompanying figure). Let n be the unit vector normal to S that points away from the yz-plane. Find the flux of the field F(x,y,z) = i - 2yj - 3zk across S in the direction of n. Ryz 1 S 3 y = e2x The flux is. (Type an exact answer.)