1A) Let S be the upward oriented surface of the box [-pi,pi]x[0,pi]x[0,pi]without the face xy plane....

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

1B)  Let S be the upward orientedsurface 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 leftand right face, a top face, but no bottom face . LetF(x,y,z)= < ycos(z),zcos(x),xcos(y) >. Findthe flux of curl F across S using line integrals (stokestheorem).

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