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Consider the Vector Field F=(Ax+By)i+(Bx+Cy)j\vec { F } = ( A x + B y ) \vec { i } + ( B x + C y ) \vec { j }

question 57

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Consider the vector field F=(Ax+By)i+(Bx+Cy)j\vec { F } = ( A x + B y ) \vec { i } + ( B x + C y ) \vec { j } for certain constants A, B and C.
Show that F\vec{F} is path-independent by finding its potential function.


Definitions:

Sexual Orientation

A person's emotional, romantic, or sexual attraction to others, distinguished by different orientations such as heterosexual, homosexual, bisexual, and others.

Dichotomous Model

A conceptual framework that divides a topic or phenomenon into two mutually exclusive and exhaustive categories or parts.

Kinsey's Theory

A theory developed by Alfred Kinsey that suggests human sexuality exists on a continuum rather than being strictly heterosexual or homosexual.

Homoeroticism

The presence of erotic feelings directed towards individuals of the same sex.

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