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Evaluate the line integral F . dr by evaluating the surface integral in Stokes' Theorem with an appropriate choice of S. Assume that C has a counterclockwise orientation when viewed from above. F = (10xy sin z,5x2 sin z,5x2y cos z) C is the boundary of the plane z = 15 - 3x - 5y in the first octant Rewrite the given line integral as a surface integral. ds C S Evaluate the integral OF - dr = (Type an exact answer.) C