If \( \psi = 2 x y^{4} - x^{2} z , \) the determine \( \vec{\triangle} \psi \) at the point (2,-1,2).

A \( - \left ( 16 \hat{i} + 16 \hat{j} + 4 \hat{k} \right ) \)

B \( - \left ( 6 \hat{i} + 4 \hat{j} + 4 \hat{k} \right ) \)

C \( - \left ( 6 \hat{i} + 6 \hat{j} + 4 \hat{k} \right ) \)

D \( - \left ( 6 \hat{i} + 16 \hat{j} + 4 \hat{k} \right ) \)

Solution

Correct Answer: Option D

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