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Evaluate Where F(x, Y, Z) = -X I - σ\sigma

Question 43

Essay

Evaluate  Evaluate   where F(x, y, z) = -x i - 2x j + (z - 1)k and  \sigma  is the surface enclosed by that portion of the paraboloid z = 4 - y<sup>2</sup> which lies in the first octant and is bounded by the coordinate planes and the plane y = x. The surface is oriented by upward unit normals. where F(x, y, z) = -x i - 2x j + (z - 1)k and σ\sigma is the surface enclosed by that portion of the paraboloid z = 4 - y2 which lies in the first octant and is bounded by the coordinate planes and the plane y = x. The surface is oriented by upward unit normals.

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