1.

If a function is described by F = (3x + z, y^2 − sin x^2z, xz + ye^x5), then the divergence theorem value in the region 0

Answer»

The correct option is (c) 39

To explain I would say: 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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