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Use Stokes' Theorem to Evaluate Where F(x, Y, Z) σ\sigma

question 81

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Use Stokes' Theorem to evaluate  Use Stokes' Theorem to evaluate   where F(x, y, z)  =   (z - y) i +   (z<sup>2</sup> + x) j +   (x<sup>2</sup> - y<sup>2</sup>) k and  \sigma  is that portion of the sphere x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = 4 for which z  \ge  0. A)    B)    C)  0 D)    E)    where F(x, y, z) =  Use Stokes' Theorem to evaluate   where F(x, y, z)  =   (z - y) i +   (z<sup>2</sup> + x) j +   (x<sup>2</sup> - y<sup>2</sup>) k and  \sigma  is that portion of the sphere x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = 4 for which z  \ge  0. A)    B)    C)  0 D)    E)    (z - y) i +  Use Stokes' Theorem to evaluate   where F(x, y, z)  =   (z - y) i +   (z<sup>2</sup> + x) j +   (x<sup>2</sup> - y<sup>2</sup>) k and  \sigma  is that portion of the sphere x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = 4 for which z  \ge  0. A)    B)    C)  0 D)    E)    (z2 + x) j +  Use Stokes' Theorem to evaluate   where F(x, y, z)  =   (z - y) i +   (z<sup>2</sup> + x) j +   (x<sup>2</sup> - y<sup>2</sup>) k and  \sigma  is that portion of the sphere x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = 4 for which z  \ge  0. A)    B)    C)  0 D)    E)    (x2 - y2) k and σ\sigma is that portion of the sphere x2 + y2 + z2 = 4 for which z \ge 0.

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