Let T be the tetrahedron with vertices at the origin and (4,0,0), (0,4,0) and (0,0,1). A fluid flows with velocity (r, ye", - ze"), where position is measured in meters, and speed is measured in meters per second. Find the rate of flow outward through the slant surface of the tetrahedron, which is the only face that is not parallel to any of the coordinate planes. Hint: Using the Divergence Theorem, the problem can be done with geometry only and not evaluating any integrals. m3 Question Help: Message instructor D Post to forum Add Work
Let T be the tetrahedron with vertices at the origin and (4,0,0), (0,4,0) and (0,0,1). A fluid flows with velocity (r, ye", - ze"), where position is measured in meters, and speed is measured in meters per second. Find the rate of flow outward through the slant surface of the tetrahedron, which is the only face that is not parallel to any of the coordinate planes. Hint: Using the Divergence Theorem, the problem can be done with geometry only and not evaluating any integrals. m3 Question Help: Message instructor D Post to forum Add Work
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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Transcribed Image Text:Let T be the tetrahedron with vertices at the origin and (4,0,0), (0,4,0) and (0,0,1). A fluid flows with
velocity (2, ye", - ze"), where position is measured in meters, and speed is measured in meters per
second. Find the rate of flow outward through the slant surface of the tetrahedron, which is the only face
that is not parallel to any of the coordinate planes.
Hint: Using the Divergence Theorem, the problem can be done with geometry only and not evaluating any
integrals.
m3
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