If $\vec { F } ( x , y ) = P ( x , y ) \vec { i } + Q ( x , y ) \vec { j }$

question 61

True/False

If $\vec { F } ( x , y ) = P ( x , y ) \vec { i } + Q ( x , y ) \vec { j }$ is a gradient vector field, then $\frac { \partial P } { \partial x } = \frac { \partial Q } { \partial y }$ .

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Definitions:

Empirical Research

A way of gaining knowledge by means of direct or indirect observation or experience, relying on empirical evidence.

Communicate Differently

The act of altering one's style or method of communication to better fit the context or needs of the situation or audience.

Treated Differently

The act of behaving or dealing with individuals or groups in a way that is not uniform, often leading to perceptions of prejudice or bias.

Sex Differences

Biological and/or psychological distinctions between males and females that are not necessarily related to gender roles.