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1. The vector field F is given by Fr (r, ϕ, ϑ) = r2 , Fϕ(r,...

1. The vector field F is given by Fr (r, ϕ, ϑ) = r2 , Fϕ(r, ϕ, ϑ) = 2ϕ, Fϑ(r, ϕ, ϑ) = 3ϑ. Calculate the divergence of F.

2. Calculate the curl of F for the vector field.

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