Let o be the cube with side length 1, faces paralet to the coordinate planes, and centered at the point (0.5, 0.5, 0.5). (t may be helpful to draw a picture.) The cube has outward ortentation Determine whether the flux of the vector field F(z, y, z) = zi + i+ zk across the specifed face is positive, negative, or 0. (Enter p' tor positive, n'for negative, and o for zero, without the quotes.) flux through the face z = 1: flux through the face y = 1: flux through the face z = 1: flux through the face r 0: flux through the face y = 0. flux through the face z 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let o be the cube with side length 1, faces paraliel to the coordinate planes, and centered at the point
(0.5, 0.5, 0.5). (It may be helpful to draw a picture.) The cube has outward ortentation Determine whether the flux of the
vector field F(z, y, z) = zi + i + zk across the specifed face is positive, negative, or 0.
(Enter p' tor positive, n' for negative, and O for zero, without the quotes.)
flux through the face z = 1:
flux through the face y = 1:
flux through the face z = 1:
flux through the face r = 0:
flux through the face y = 0.
flux through the face z =
Transcribed Image Text:Let o be the cube with side length 1, faces paraliel to the coordinate planes, and centered at the point (0.5, 0.5, 0.5). (It may be helpful to draw a picture.) The cube has outward ortentation Determine whether the flux of the vector field F(z, y, z) = zi + i + zk across the specifed face is positive, negative, or 0. (Enter p' tor positive, n' for negative, and O for zero, without the quotes.) flux through the face z = 1: flux through the face y = 1: flux through the face z = 1: flux through the face r = 0: flux through the face y = 0. flux through the face z =
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