Let F = . Use Stokes' Theorem to evaluate curlF · d5, where S consists of the top and the four sides (but not the bottom) of the cube with one corner at (-1,-1,-1) and the diagonal corner at (4,4,4)....


Let F<br>= < xyz, xy, xʻyz > .<br>Use Stokes' Theorem to evaluate<br>curlF · d5, where<br>S consists of the top and the four sides (but not the bottom) of the cube with one corner at (-1,-1,-1) and<br>the diagonal corner at (4,4,4).<br>Hint: Use the fact that if S1 and S2 share the same boundary curve C that<br>curlF · d5 = | F -<br>. dī<br>curlF · dS<br>S2<br>

Extracted text: Let F = < xyz,="" xy,="" xʻyz=""> . Use Stokes' Theorem to evaluate curlF · d5, where S consists of the top and the four sides (but not the bottom) of the cube with one corner at (-1,-1,-1) and the diagonal corner at (4,4,4). Hint: Use the fact that if S1 and S2 share the same boundary curve C that curlF · d5 = | F - . dī curlF · dS S2

Jun 05, 2022
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