Let S be the cylinder x² + y² = a², 0≤zsh, together with its top, x² + y² ≤a², z = h. Let F= -5yi +5xj + 5x +5x²k. Use Stokes' Theorem to find the flux of V x F through S in the direction away from the interior of the cylinder. The flux of VXF outward through S is (Type an exact answer, using it as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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sa², z=h.
Let S be the cylinder x² + y² =a², 0≤zsh, together with its top, x² + y² sa²
Let F = -5yi +5xj +5x²k. Use Stokes' Theorem to find the flux of VXF through S
in the direction away from the interior of the cylinder.
The flux of V x F outward through S is
(Type an exact answer, using as needed.)
Transcribed Image Text:2 sa², z=h. Let S be the cylinder x² + y² =a², 0≤zsh, together with its top, x² + y² sa² Let F = -5yi +5xj +5x²k. Use Stokes' Theorem to find the flux of VXF through S in the direction away from the interior of the cylinder. The flux of V x F outward through S is (Type an exact answer, using as needed.)
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