Let $f ( x ) = \tan ^ { - 1 } x + \tan ^ { - 1 } \frac { 1 } { x }$

question 198

Essay

Let $f ( x ) = \tan ^ { - 1 } x + \tan ^ { - 1 } \frac { 1 } { x }$ .(a) Show that $f ( x )$ is constant on $( - \infty , 0 ) \text { and } ( 0 , \infty )$ .(b) Determine the value of the constant(s).

Understand the process and significance of memory storage, focusing on the hippocampus.

Appreciate the interconnectedness of the brain's structures in controlling complex behaviors like sexual motivation and addiction.

Acknowledge the importance of the cerebral cortex in consciousness and self-identity.

Grasp the role of the motor cortex in controlling movement across the body's contralateral sides.

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Definitions:

Visual Acuity

The clarity or sharpness of vision, typically assessed with a Snellen chart to determine one's ability to see objects at specified distances.

Visual Impairment

A reduction in one's ability to see that cannot be corrected fully with glasses or contact lenses.

Blindness

The lack of visual perception due to physiological or neurological factors.

Fine Discriminations

Refers to the ability to distinguish subtle differences between similar stimuli.