- #1
Jina
- 4
- 0
Find the flux of F= <XY,YZ,XZ> across the surface S of the cube {lXl≤1, lYl≤1,lZl≤1} using the given definition of flux.
The first part of this problem asked me to solve using the diveregence theorem, which I did with a result of 0. I've been racking my brain on this part, seems the trickiest thing for me is the parametrization. I'm just not sure how to go about it. Any help would be greatly appreciated! :D
using divergence theorem :
I found the divergence to be Y+Z+X and setting the intervals from -1 to 1 for X, Y, and Z I calculated the integral
[itex]\int[/itex][itex]\int[/itex][itex]\int[/itex]Y+Z+X dV for a solution of 0.
The first part of this problem asked me to solve using the diveregence theorem, which I did with a result of 0. I've been racking my brain on this part, seems the trickiest thing for me is the parametrization. I'm just not sure how to go about it. Any help would be greatly appreciated! :D
using divergence theorem :
I found the divergence to be Y+Z+X and setting the intervals from -1 to 1 for X, Y, and Z I calculated the integral
[itex]\int[/itex][itex]\int[/itex][itex]\int[/itex]Y+Z+X dV for a solution of 0.
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