Question: opts Evaluate the line integral in Stokes' Theorem to find the surface integral (V x F) . ndS, where F(x, y, z) = (4y, -xz,


opts Evaluate the line integral in Stokes' Theorem to find the surface integral (V x F) . ndS, where F(x, y, z) = (4y, -xz, e yz), and S is the part of the JJ s paraboloid z = x2 + y that lies inside the cylinder x2 + y = 4, oriented upward. (Hint: the boundary C of S is the intersection of the paraboloid z = x2 + y and the cylinder x2 + y? =4, i.e., C is the circle x2 + y? = 4 on the plane z = 4)
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