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The Range of the Function F (X) = 20+8xx2\sqrt { 20 + 8 x - x ^ { 2 } }

question 116

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The range of the function f (x) = 20+8xx2\sqrt { 20 + 8 x - x ^ { 2 } } is a closed interval [a; b]. Find its length b - a.


Definitions:

Mania

A mental health disorder marked by periods of great excitement, euphoria, delusions, and overactivity, often found in bipolar disorder.

Oxygen Deprivation

A condition also known as hypoxia, occurring when there is not enough oxygen for the body's needs, which can lead to various health issues including brain damage.

Schizophrenia

A mental health condition marked by disturbances in thinking, sensing, emotional regulation, and social behavior.

Dissociative Identity Disorder

A severe form of dissociation involving the presence of two or more distinct personality states or identities in a single individual.

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