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The Potential Energy of an Object as a Function of Position

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The potential energy of an object as a function of position is U(x) = x2 - x - 6,where U is measured in joules and x is measured in meters.Where is the object be located if it is in a stable equilibrium?


Definitions:

Commit

To pledge or engage oneself to a particular course of action, often implying dedication and determination.

Nash Equilibrium

A concept in game theory where no participant can gain by unilaterally changing their strategy if the strategies of the others remain unchanged.

Gas Pump

A machine located at a service station that pumps liquid fuel like gasoline or diesel into a vehicle's tank.

Local Ordinance

Laws or regulations enacted by a local government authority that apply within its specific geographic area.

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