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:

Sterilization

A process that eliminates all forms of life and other biological agents from an object or area to prevent infection.

Productive Cough

A cough that results in the expulsion of mucus or phlegm from the respiratory tract.

Negative-Pressure Room

A specialized hospital room designed to contain airborne contaminants within the room by maintaining a lower air pressure inside than in the surrounding areas.

Contact Isolation

A health care protocol used to prevent the spread of infectious agents that can be transmitted through direct or indirect contact.