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The value of  where  and S is the surface of the paraboloid Z = x2 + y2 bounded by Z = 4 and C is the boundary cuive described in the positive sense.
  • a)
    28/π
  • b)
    20/π
  • c)
    - 28/π
  • d)
    -20/π
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The value ofwhereand S is the surface ofthe paraboloidZ = x2 + y2 boun...
Here S is an open surface so we can apply stokes Theorem , 
= 3y dx - 4 x dy    ( ∵ z = 4 ⇒ dz = 0 )
Let x = 2 cos θ , y = 2 sin θ
⇒ dx = -2 sin θ dθ , dy = 2 cosθ dθ
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The value ofwhereand S is the surface ofthe paraboloidZ = x2 + y2 bounded by Z = 4 and C is the boundary cuivedescribed in the positive sense.a)28/πb)20/πc)- 28/πd)-20/πCorrect answer is option 'C'. Can you explain this answer?
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