Calculate the flux through M, where you use the default outward-pointing almost-orientation for M.

F(x,y,z) = (x, y, z), and M is the cube, centered at the origin, whose faces are parallel to the coordinate planes, where each side has length 2.

Question

Calculate the flux through M, where you use the default outward-pointing almost-orientation for M. 

F(x,y,z) = (x, y, z), and M is the cube, centered at the origin, whose faces are parallel to the coordinate planes, where each side has length 2.

jaredstone4 · Answer

I am very confused as to how to parameterize this surface...any help is appreciated!

jaredstone4 · Answer

Yeah, I was able to get that picture as well. I'm just unsure how to either find a normal vector for the cube, or parameterize it with u and v

baru · Answer

you will have to find flux for each surface separately,

baru · Answer

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consider the top of the cube