Calculate the line integral of the vector field F = (y, x, x² + y?) around the boundary curve, the curl of the vector field, and the surface integral of the curl of the vector field. The surface S is the upper hemisphere x² + y? + z? = 4, z > 0 oriented with an upward-pointing normal. (Use symbolic notation and fractions where needed.) F. dr = curl(F) = Incorrect

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