Let o be the surface of a cube whose sides have length two. Let o have vertices at the endpoints of 0, 2i, 2j, 2k. Orient o by the outward unit normal. Let V = ryi + 2yzj + 3zrk be a vector field. Use the Divergence Theorem to evaluate the flux integral: SS,V ·ndS.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let o be the surface of a cube whose sides have length two. Let o
have vertices at the endpoints of Ō, 2i, 2j, 2k. Orient o by the outward
unit normal. Let V = xyi + 2yzj + 3zak be a vector field. Use the
Divergence Theorem to evaluate the flux integral: S, V ·ndS.
Transcribed Image Text:Let o be the surface of a cube whose sides have length two. Let o have vertices at the endpoints of Ō, 2i, 2j, 2k. Orient o by the outward unit normal. Let V = xyi + 2yzj + 3zak be a vector field. Use the Divergence Theorem to evaluate the flux integral: S, V ·ndS.
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