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Use Stokes' Theorem to Evaluate ∫\int C 3(z - Y)dx + 3(x - Z)dy + 3(y

Question 120

Multiple Choice

Use Stokes' Theorem to evaluate ∫\int C 3(z - y) dx + 3(x - z) dy + 3(y - x) dz where C is the boundary, in the xy-plane, of the surface σ\sigma given by z = 4 - (x2 + y2) , z ≥\ge 0.


A) Use Stokes' Theorem to evaluate \int <sub>C</sub> 3(z - y) dx + 3(x - z) dy + 3(y - x) dz where C is the boundary, in the xy-plane, of the surface \sigma given by z = 4 - (x<sup>2</sup> + y<sup>2</sup>) , z \ge 0. A) B) C) 0 D) E)
B) Use Stokes' Theorem to evaluate \int <sub>C</sub> 3(z - y) dx + 3(x - z) dy + 3(y - x) dz where C is the boundary, in the xy-plane, of the surface \sigma given by z = 4 - (x<sup>2</sup> + y<sup>2</sup>) , z \ge 0. A) B) C) 0 D) E)
C) 0
D) Use Stokes' Theorem to evaluate \int <sub>C</sub> 3(z - y) dx + 3(x - z) dy + 3(y - x) dz where C is the boundary, in the xy-plane, of the surface \sigma given by z = 4 - (x<sup>2</sup> + y<sup>2</sup>) , z \ge 0. A) B) C) 0 D) E)
E) Use Stokes' Theorem to evaluate \int <sub>C</sub> 3(z - y) dx + 3(x - z) dy + 3(y - x) dz where C is the boundary, in the xy-plane, of the surface \sigma given by z = 4 - (x<sup>2</sup> + y<sup>2</sup>) , z \ge 0. A) B) C) 0 D) E)

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