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Medication x(t)=3000tt2+12x ( t ) = \frac { 3000 t } { t ^ { 2 } + 12 }

question 57

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Medication. The number of milligrams x of a medication in the bloodstream t hours after a dose is taken can be modeled by x(t) =3000tt2+12x ( t ) = \frac { 3000 t } { t ^ { 2 } + 12 } t>0t > 0 . Find the maximum value of x. Round your answer to two decimal places.


Definitions:

Dissociative Identity Disorder

Dissociative Identity Disorder is a mental disorder characterized by the presence of two or more distinct personality states or identities within an individual, each with its own pattern of perceiving and interacting with the environment.

Psychodynamic Perspective

A psychological approach that emphasizes the influence of the unconscious mind on behavior and the importance of childhood experiences in shaping personality and behavior.

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Fundamental requirements for human survival and well-being, including food, water, shelter, and safety.

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