Let F = < xyz, xy, xʻyz > . Use Stokes' Theorem to evaluate curlF · dS , where S consists of the top and the four sides (but not the bottom) of the cube with one corner at (-3,-3,-3) and the diagonal corner at (1,1,1). Hint: Use the fact that if S1 and S2 share the same boundary curve C that curlF · dS F· dī = curlF · d§

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