ta certain moment, a cloud of particles is moving according to the vector field F(x, y, z)=(3-y, 1-2rz, -3y²) a particles per m³ per second). There is a wire mesh shaped as the lower half of the unit sphere (centered the origin), oriented upwards. Calculate number of particles per second moving through the mesh in that oment.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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At a certain moment, a cloud of particles is moving according to the vector field F(x, y, z) = (3-y, 1-2rz, -3y²)
(in particles per m³ per second). There is a wire mesh shaped as the lower half of the unit sphere (centered
at the origin), oriented upwards. Calculate number of particles per second moving through the mesh in that
moment.
Transcribed Image Text:At a certain moment, a cloud of particles is moving according to the vector field F(x, y, z) = (3-y, 1-2rz, -3y²) (in particles per m³ per second). There is a wire mesh shaped as the lower half of the unit sphere (centered at the origin), oriented upwards. Calculate number of particles per second moving through the mesh in that moment.
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