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categoryالرياضيات schoolبكالوريوس event_available2026-07-14

السؤال

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(1 point) Let S be the cube with side length 8, faces parallel to the coordinate planes, and centered at the origin. (a) Calculate the total flux of the constant vector field = i – 4j – 3 ½ out of S by computing the flux through each face separately. flux through the face at x = 4: 256 flux through the face at y = 4: flux through the face at x = 4: flux through the face at x = -4: flux through the face at y = -4: flux through the face at x = -4: Thus the total flux is flux= - Calculate the flux out of S for any constant vector field v = ai + bj+ck. flux= (Be sure that you can explain why your answers to parts (a) and (b) make sense.)

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