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/andpi;b)20/andpi;c)- 28/andpi;d)-20/andpi;Correct answer is option 'C'. Can you explain this answer?

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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?

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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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