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

Question 234

Essay

Find (a) the curl and (b) the divergence of the vector field F(x,y,z)=sin⁡xi+cos⁡xj+z2k\mathbf { F } ( x , y , z ) = \sin x \mathbf { i } + \cos x \mathbf { j } + z ^ { 2 } \mathbf { k } .

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