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If the Parametric Curve x=f(t),y=g(t)x = f ( t ) , \quad y = g ( t )

question 9

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If the parametric curve x=f(t),y=g(t)x = f ( t ) , \quad y = g ( t ) satisfies g(4)=0g ^ { \prime } ( 4 ) = 0 , then it has a horizontal tangent when t=4t = 4 .


Definitions:

Acetylcholine

A neurotransmitter in the body responsible for muscle activation and plays roles in arousal, attention, memory, and motivation.

Agonist

A chemical or drug that binds to receptors in the brain and causes a reaction or response similar to that of a natural neurotransmitter.

Nicotine

It is a stimulant drug found in tobacco plants that affects the nervous system by increasing the release of neurotransmitters.

Amino Acid

Organic compounds that serve as the building blocks of proteins, essential for various bodily functions.

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