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categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
Consider the following.
F(x, y, z) = (4yz, -4xz, z³), that part of the cone z = √√x²
+ that lies between the two planes z = 1 and
z = 2 with upward-pointing unit normal vector
Calculate curl(F).
curl(F) =
Use Stokes' Theorem to compute the flux of curl(F) through the given surface using a line integral.
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+ -/2 points RogaCalcET3 17.2.010.
Consider the following.
F(x, y, z) = (6y, e², -tan-1 (x)), that part of the paraboloid z = 25 - x2 y2 cut off by the xy-plane with
upward-pointing unit normal vector
Calculate curl(F).
curl(F) =
Use Stokes' Theorem to compute the flux of curl(F) through the given surface using a line integral.
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