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If r=xi+yj+zk\mathbf { r } = x \mathbf { i } + y \mathbf { j } + z \mathbf { k }

Question 63

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If r=xi+yj+zk\mathbf { r } = x \mathbf { i } + y \mathbf { j } + z \mathbf { k } and f(x,y,z)=ln⁡∣r∣f ( x , y , z ) = \ln | \mathbf { r } | , compute ∇f\nabla f and determine where f=0f = 0 and where ∇f=0\nabla f = 0 . What is the domain of f ?

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