If f (x, y, z) has continuous partial derivatives and S is a closed surface, show that მ2 f f [[ D. (2,3, 2) do = []] (3,5 + 35 + 0²2) av, y, dV, дуг where D is the solid enclosed by S and Dnf (x, y, z) is the directional derivative of f.
If f (x, y, z) has continuous partial derivatives and S is a closed surface, show that მ2 f f [[ D. (2,3, 2) do = []] (3,5 + 35 + 0²2) av, y, dV, дуг where D is the solid enclosed by S and Dnf (x, y, z) is the directional derivative of f.
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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![If f (x, y, z) has continuous partial derivatives and S is a closed surface, show that
a²fa²f\
]]. Dnf (x, y, 2) do = []] (311+34 + 0²2) av
dV,
дуг
дz2
where D is the solid enclosed by S and Dnf (x, y, z) is the directional derivative
of f.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1784d6b6-d0da-4ca6-88bb-f1a2aff3fb92%2F6aef08ca-8afc-4d1e-a46a-53912571cd5d%2Fwakgy7q_processed.png&w=3840&q=75)
Transcribed Image Text:If f (x, y, z) has continuous partial derivatives and S is a closed surface, show that
a²fa²f\
]]. Dnf (x, y, 2) do = []] (311+34 + 0²2) av
dV,
дуг
дz2
where D is the solid enclosed by S and Dnf (x, y, z) is the directional derivative
of f.
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