micheledelperc1713 micheledelperc1713
  • 25-05-2023
  • Mathematics
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(ed 19. Use the Divergence Theorem to evaluate ff, F. dS, where F(x, y, z) =zxi+ (jy3 +tan-'z) j+ (xz+y)k and S is the top half of the sphere x² + y² + z² = 1. [Hint: Note that S is not a closed surface. First compute integrals over S₁ and S₂, where S₁ is the disk x² + y² ≤ 1, oriented downward, and S₂ = SU S₁.] (0)4

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