Given F(x, y, z) = -yzį + xzj – xyzk be a vector function that passes through a surface S of z + x? + y? = 20 that lies above z = 4, which is positively oriented. Sketch the surface S based on the...

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Extracted text: Given F(x, y, z) = -yzį + xzj – xyzk be a vector function that passes through a surface S of z + x? + y? = 20 that lies above z = 4, which is positively oriented. Sketch the surface S based on the given information, then evaluate ff, curl F n ds by using Stokes' Theorem.