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}.
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f3c8c6e-d3d0-4d9a-a919-498816195678%2F539a98e8-09d6-4653-95a6-17473519bbfd%2F6q6n57_processed.png&w=3840&q=75)
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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