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Let F = < ryz, xy, x²yz > . 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 (-2,-2,-2) and the diagonal corner at (-1,-1,-1).

Let F = < ryz, xy, x²yz > . 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 (-2,-2,-2) and the diagonal corner at (-1,-1,-1).

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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 (-2,-2,-2) and the diagonal corner at (-1,-1,-1). Hint: Use the fact that if S1 and S2 share the same boundary curve C that [L - [F di - I. curlF · d§ . dī = curlF · d5 =
Transcribed Image Text: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 (-2,-2,-2) and the diagonal corner at (-1,-1,-1). Hint: Use the fact that if S1 and S2 share the same boundary curve C that [L - [F di - I. curlF · d§ . dī = curlF · d5 =
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