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A Particle Moves in Such a Way That x(t)=2t2+8sintx ( t ) = 2 t ^ { 2 } + 8 \sin t

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A particle moves in such a way that x(t)=2t2+8sintx ( t ) = 2 t ^ { 2 } + 8 \sin t .What is the instantaneous rate of change at t = 0?


Definitions:

DSM-5

The fifth edition of the Diagnostic and Statistical Manual of Mental Disorders, a comprehensive classification of mental disorders published by the American Psychiatric Association.

Disorder

A disruption to regular bodily structures or functions, often leading to symptoms or disabilities.

Young Child

A child in the early stages of life, typically before entering full-time education.

Attachments

Emotional bonds between individuals, especially seen in early child development as a strong, affectionate connection between children and their caregivers or parents.

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