Evaluate the flux integral ff F N dS where N is the upward normal vector to S, F(x, y, z)= xi + 2yj + 32²k, and S = {(x, y, z) | x ≥ 0, y ≥ 0, z≥ 0, z = 1 -zx-y}.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Evaluate the flux integral ff F N dS where
N is the upward normal vector to S,
F(x, y, z)= xi + 2yj +32²k, and
S = {(x, y, z) | x ≥ 0, y ≥ 0, z ≥ 0, z = 1 - x - y}.
Check your answer using the divergence theorem.
Transcribed Image Text:Evaluate the flux integral ff F N dS where N is the upward normal vector to S, F(x, y, z)= xi + 2yj +32²k, and S = {(x, y, z) | x ≥ 0, y ≥ 0, z ≥ 0, z = 1 - x - y}. Check your answer using the divergence theorem.
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