Find the Gradient Vector Field of the Scalar Function $f$ (That Is, Find the Conservative Vector Field

question 129

Short Answer

Find the gradient vector field of the scalar function $f$ . (That is, find the conservative vector field $\mathbf { F }$ for the potential function $f$ of $\mathbf { F }$ .)
$$f ( x , y , z ) = 7 x y ^ { 3 } + 7 y z ^ { 2 }$$

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Definitions:

Exposure and Response Prevention

A cognitive-behavioral therapy technique used primarily for treating obsessive-compulsive disorder (OCD) where the patient is exposed to their fear and taught to refrain from their usual response to reduce anxiety.

Neutralizing

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Social Skills Training

A form of behavioral therapy used to improve interpersonal skills through teaching and practice.