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Determine Whether F\mathbf { F } Is Conservative ff Such That F=f\mathbf { F } = \nabla f

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Short Answer

Determine whether F\mathbf { F } is conservative. If so, find a function ff such that F=f\mathbf { F } = \nabla f ..
F(x,y,z)=4x3y2z3i+2x4yz3j+3x4y2z2k\mathbf { F } ( x , y , z ) = 4 x ^ { 3 } y ^ { 2 } z ^ { 3 } \mathbf { i } + 2 x ^ { 4 } y z ^ { 3 } \mathbf { j } + 3 x ^ { 4 } y ^ { 2 } z ^ { 2 } \mathbf { k }

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