Question

Find Curl of F(r), where r=x+y+z
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Answer 1

Answer:

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Answer 2

Answer:

Calculate the divergence and curl of F=(−y,xy,z). we calculate that divF=0+x+1=x+1. Since ∂F1∂y=−1,∂F2∂x=y,∂F1∂z=∂F2∂z=∂F3∂x=∂F3∂y=0, we calculate that curlF=(0−0,0−0,y+1)=(0,0,y+1).