Chen Sanders
03/16/2023 · Elementary School
Given the scalor field \[ f(x, y, z)=x z+x^{3} y^{2}+x z^{2} \] computs the Iaplacion \( \vec{\nabla}^{2} f=\frac{\partial^{2} f}{\partial z^{2}}+\frac{\partial^{2} f}{\partial y^{2}}+\frac{\partial^{2} f}{\partial z^{2}} \)
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The Laplacian of the scalar field \(f\) is \(6xy^2 + 2x^3 + 2x\).
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