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Calculate the outward flux of the vector field F(x,y) = x[i] + y^2[j] across the square...

Calculate the outward flux of the vector field F(x,y) = x[i] + y^2[j] across the square bounded by x= 1, x= -1, y= 1 and y= -1.

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Answer #1

Answer :

Consider the given vector field F(x,y) = x[i] + y^2[j]

Let M = x and N = y2

Then  ∂M/∂x = 1 and ∂N/∂y = 2y

The outward flux of the vector field F is

  

  

  

  

  

The outward flux is 4

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