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18 Apr 2023
Let F(x, y, z) = (z, -y, -x -t) and C be the curve given by the intersection of x^2 + y^2 + z^2 = 4 and the plane z = y; oriented counter clockwise when viewed form (0, 0, 1). By explicit computation, determine contur integral_C F. dx, Using Stockes theorem, verify your result from part (a).
Let F(x, y, z) = (z, -y, -x -t) and C be the curve given by the intersection of x^2 + y^2 + z^2 = 4 and the plane z = y; oriented counter clockwise when viewed form (0, 0, 1). By explicit computation, determine contur integral_C F. dx, Using Stockes theorem, verify your result from part (a).
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