تم الحل ✓
categoryالرياضيات
schoolبكالوريوس
event_available2026-07-14
السؤال
Transcribed Image Text:
(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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