Let Be be the box [-e, 2e] × [-2e, 4e] × [-e, 2e], e > 0, let Ve be the volume of Ber let Se be the surface of Be, with the outward orientation, and let F = (2x + y², y + 2z, xz²). Verify that, in this particular case, 7. 11.₁² Se lim e-+0+ Ve F.dS = V.F(0), by calculating the left side from the definition of the surface integral and the right side from the definition of the divergence.
Let Be be the box [-e, 2e] × [-2e, 4e] × [-e, 2e], e > 0, let Ve be the volume of Ber let Se be the surface of Be, with the outward orientation, and let F = (2x + y², y + 2z, xz²). Verify that, in this particular case, 7. 11.₁² Se lim e-+0+ Ve F.dS = V.F(0), by calculating the left side from the definition of the surface integral and the right side from the definition of the divergence.
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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![Let Be be the box [-e, 2e] × [-2e, 4e] × [-e, 2e], e > 0, let Ve be the volume of Ber
let Se be the surface of Be, with the outward orientation, and let
F = (2x + y², y + 2z, xz²). Verify that, in this particular case,
7. [1₁²
Se
lim
e-+0+ Ve
F.dS = V.F(0),
by calculating the left side from the definition of the surface integral and the right side
from the definition of the divergence.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04dde56b-761e-4c3c-a9c4-32d577728202%2F28644ef8-9095-41ab-bb5a-4557930d1819%2F3w55bfw_processed.png&w=3840&q=75)
Transcribed Image Text:Let Be be the box [-e, 2e] × [-2e, 4e] × [-e, 2e], e > 0, let Ve be the volume of Ber
let Se be the surface of Be, with the outward orientation, and let
F = (2x + y², y + 2z, xz²). Verify that, in this particular case,
7. [1₁²
Se
lim
e-+0+ Ve
F.dS = V.F(0),
by calculating the left side from the definition of the surface integral and the right side
from the definition of the divergence.
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