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

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...

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