Question: Let S be the cube with side length 4. faces parallel to the coordinate planes. and centered at the origin. (.3) Calculate the total flux


Let S be the cube with side length 4. faces parallel to the coordinate planes. and centered at the origin. (.3) Calculate the total flux of the constant vector field i} = 5: 333+ 21; out of S by computing the ux through each face separately. flux through the face at y = 2: I flux through the face at .1: = 2: flux through the face at 2: = 2: I flux through the face at .1: = 2: I flux through the face at y = 2: I flux through the face at 2: = 2: I Thus the total flux is flux = C] Calculate the flux out of S for an},r constant vector field E = as: + b}: + of}. flux = C] (Be sure thatyou can explain whyyoar answers to ports (a) and (b) make sense. }
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