[fF. F.ds where F = xyi - y²j+zk and the surface consists of the three S surfaces, z = 4 - 3x² - 3y², 1

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Chapter2: Second-order Linear Odes
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JfF..
F.ds where F = xyi - y²j+zk and the surface consists of the three
S
surfaces, z = 4-3x²-3y², 1 ≤z<4 on the top, x² + y² = 1,0 << 1 on the sides and z = 0 on the bottom.
Use the divergence theorem to evaluate
Transcribed Image Text:JfF.. F.ds where F = xyi - y²j+zk and the surface consists of the three S surfaces, z = 4-3x²-3y², 1 ≤z<4 on the top, x² + y² = 1,0 << 1 on the sides and z = 0 on the bottom. Use the divergence theorem to evaluate
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