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Find (A) the Curl and (B) the Divergence of the Vector

Question 219

Essay

Find (a) the curl and (b) the divergence of the vector field F(x,y,z)=x2yi+yz2j+zx2k\mathbf { F } ( x , y , z ) = x ^ { 2 } \mathbf { y } \mathbf { i } + y z ^ { 2 } \mathbf { j } + z x ^ { 2 } \mathbf { k } .

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