1A) Let S be the upward oriented surface of the
box [-pi,pi]x[0,pi]x[0,pi]without the face xy plane. That is, in
the standard view, the box has a front and back, a left and right
face, a top face, but no bottom face. Let
F(x,y,z)=< ycos(z),zcos(x),xcos(y) >. Find
the flux of curl F across S directly, without
using stokes theorem.
1B) Let S be the upward oriented
surface of the box [-pi,pi]x[0,pi]x[0,pi]without the face xy plane.
That is, in the standard view, the box...