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For a function given by F = 4x i + 7y j +z k, the divergence theorem evaluates to which of the values given, if the surface considered is a cone of radius 1/2π m and height 4π2 m. 
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
For a function given by F = 4x i + 7y j +z k, the divergence theorem e...
Answer: b
Explanation: Div (F) = 4 + 7 + 1 = 12. The divergence theorem gives ∫∫∫(12).dV, where dV is the volume of the cone πr3h/3, where r = 1/2π m and h = 4π2 m. On substituting the radius and height in the triple integral, we get 2 units.
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Most Upvoted Answer
For a function given by F = 4x i + 7y j +z k, the divergence theorem e...
We need more information about the cone, specifically its height and orientation, in order to evaluate the divergence theorem. Without this information, we cannot determine which of the values given (which are not provided in the question) is the correct answer.
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