let F be a vector field whose curl and divergence at the origin are curl(F)(0, 0, 0) = (2, – 1, 4) , div(F)(0, 0, 0) = -2 Estimate the flux of F through the box of side 0.5 in Figure . Does the result depend on how the box is oriented relative to the coordinate axes? 0.5 FIGURE

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let F be a vector field whose curl and divergence
at the origin are
curl(F)(0, 0, 0) = (2, – 1, 4) ,
div(F)(0, 0, 0) = -2
Estimate the flux of F through the box of side 0.5 in Figure . Does
the result depend on how the box is oriented relative to the coordinate
axes?
0.5
FIGURE
Transcribed Image Text:let F be a vector field whose curl and divergence at the origin are curl(F)(0, 0, 0) = (2, – 1, 4) , div(F)(0, 0, 0) = -2 Estimate the flux of F through the box of side 0.5 in Figure . Does the result depend on how the box is oriented relative to the coordinate axes? 0.5 FIGURE
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