A Taylor Polynomial Approximation Of $f ( x ) = e ^ { - \frac { x ^ { 2 } } { 2 } }$

question 58

Multiple Choice

A Taylor polynomial approximation of $f ( x ) = e ^ { - \frac { x ^ { 2 } } { 2 } }$ is given below. Use a graphing utility to graph both functions. $y = - \frac { 1 } { 2 } x ^ { 2 } + 1$

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Definitions:

Thoracolumbar

Pertains to the thoracic (chest) and lumbar (lower back) sections of the spine.

Preganglionic Fibers

Nerve fibers that extend from the central nervous system to a ganglion in the autonomic nervous system.

Parasympathetic Ganglion

A cluster of nerve cell bodies within the parasympathetic division of the autonomic nervous system, involved in rest and digest functions.

Ciliary Ganglion

A parasympathetic ganglion located in the orbit that plays a role in controlling the ciliary muscles of the eye, affecting lens shape and pupil size.