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A Particle Is Moving in a Straight Line and Its v(t)=3t212t+9,v ( t ) = 3 t ^ { 2 } - 12 t + 9,

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A particle is moving in a straight line and its velocity is given by v(t)=3t212t+9,v ( t ) = 3 t ^ { 2 } - 12 t + 9, where t is measure in seconds and v in meters per second. Find the distance traveled by the particle during the time interval [0,5][ 0,5 ] .

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Definitions:

Serotonin

A neurotransmitter that plays a key role in mood regulation, digestion, sleep, and other bodily functions.

Dopamine

Dopamine is a neurotransmitter that plays a pivotal role in the brain's reward system, influencing mood, motivation, and motor control.

GABA

Gamma-aminobutyric acid, a neurotransmitter in the brain that plays a key role in regulating nerve excitability and muscle tone.

Sensory Neurons

Nerve cells that transmit sensory information (sight, sound, feeling, etc.) from the body's receptors to the central nervous system.

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