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Determine if the following vector field is 
  • a)
    Conservative
  • b)
    Solenoidal
  • c)
    both conservative and solenoidal
  • d)
    Nether conservative nor solenoidal
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Determine if the following vector field isa)Conservativeb)Solenoidalc)...
Here is P and Q as well as the appropriate derivatives.

Let  be a vector field on an open and simply-connected region D
and  
The vector field f is conservative.
Here the two partial derivatives are equal and so this is a conservative vector field.
 
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Determine if the following vector field isa)Conservativeb)Solenoidalc)both conservative and solenoidald)Nether conservative nor solenoidalCorrect answer is option 'A'. Can you explain this answer?
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