Show that F is conservative and find a function f such that 
and use this result to evaluate 
where C is any path from 
Definitions:
Heater Barrel Element
A heating component used in machines such as injection molding machines, responsible for heating the barrel in which plastic is melted.
Liquid State
A phase of matter characterized by a definite volume but no definite shape, assuming the shape of its container.
Dropout Current
The minimum current at which a relay, contactor, or coil will de-energize, allowing its contacts to return to their default state.
De-energized Position
A state where electrical power is not being supplied or is intentionally removed from a circuit or device.
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