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Consider the Vector Field F(x,y)=−yx2+y2i+xx2+y2j\mathbf { F } ( x , y ) = - \frac { y } { x ^ { 2 } + y ^ { 2 } } \mathbf { i } + \frac { x } { x ^ { 2 } + y ^ { 2 } } \mathbf { j }

Question 1

Short Answer

Consider the vector field F(x,y)=−yx2+y2i+xx2+y2j\mathbf { F } ( x , y ) = - \frac { y } { x ^ { 2 } + y ^ { 2 } } \mathbf { i } + \frac { x } { x ^ { 2 } + y ^ { 2 } } \mathbf { j } (a) Compute the curl of F.(b) Compute the divergence of F.

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