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categoryرياضيات schoolبكالوريوس event_available2026-07-13

السؤال

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(1 point) Let S be the cube with side length 2, faces parallel to the coordinate planes, and centered at the origin. (a) Calculate the total flux of the constant vector field = 5 i+2j - 5k out of S by computing the flux through each face separately. flux through the face at x = 1: flux through the face at y = 1: flux through the face at x = 1: flux through the face at x = -1: flux through the face at y = -1: flux through the face at x = -1: Thus the total flux is flux= Calculate the flux out of S for any constant vector field = ai + bj+ck. flux = (Be sure that you can explain why your answers to parts (a) and (b) make sense.)

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