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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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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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