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Multivariable & Vectorhard
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Use Stokes' Theorem to evaluate ∮C(y dx+z dy+x dz)\oint_C (y \, dx + z \, dy + x \, dz)∮C​(ydx+zdy+xdz) where CCC is the triangle with vertices (1,0,0)(1,0,0)(1,0,0), (0,1,0)(0,1,0)(0,1,0), (0,0,1)(0,0,1)(0,0,1), traversed counterclockwise when viewed from (1,1,1)(1,1,1)(1,1,1).