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If ø = x² yz³ and A = xz i - y² j +2x²y k. Find the divergence at 1,1,2

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If ø = x² yz³ and A = xz i - y² j +2x²y k....

If ø = x² yz³ and A = xz i - y² j +2x²y k. Find the divergence at 1,1,2

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asked Oct 31, 2020 in Calculus Answers by anonymous

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1 Answer

A=<xz,-y²,2x²y>.

Let A₁=xz, A₂=-y², A₃=2x²y.

Div(A)=∂A₁/∂x+∂A₂/∂y+∂A₃/∂z=z-2y

Plug in (1,1,2):

Div(A)=2-2=0.

answered Oct 31, 2020 by Rod Top Rated User (1.1m points)

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