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rohit
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Begginer
Asked: 2024-08-27T15:44:45+05:30 In:

If a function is described by F = (3x + z, y2 − sin x2z, xz + yex5), then the divergence theorem value in the region 0<x<1, 0<y<3 and 0<z<2 will be

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    2 Answers

    1. prasanjit
      Teacher

      Answer: c
      Explanation: Div (F) = 3 + 2y + x. By divergence theorem, the triple integral of Div F in the region is ∫∫∫ (3 + 2y + x) dx dy dz. On integrating from x = 0->1, y = 0->3 and z = 0- >2, we get 39 units

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    2. rohit
      Begginer

      Answer: c

      Explanation: Div (F) = 3 + 2y + x. By divergence theorem, the triple integral of Div F in

      the region is ∫∫∫ (3 + 2y + x) dx dy dz. On integrating from x = 0->1, y = 0->3 and z = 0-

      >2, we get 39 units.

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