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Determine Whether or Not Vector Field Is Conservative F=f.\mathbf { F } = \nabla f .

Question 135

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Determine whether or not vector field is conservative. If it is conservative, find a function f such that F=f.\mathbf { F } = \nabla f . F(x,y,z)=35yze5xzi+7e5xzj+35xye5xzk\mathbf { F } ( x , y , z ) = 35 y z e ^ { 5 x z } \mathbf { i } + 7 e ^ { 5 x z } \mathbf { j } + 35 x y e ^ { 5 x z } \mathbf { k }

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