Use a Graphing Utility to (A) Plot the Graphs of the Given

question 31

Essay

Use a graphing utility to (a) plot the graphs of the given functions and (b) find the x-coordinates of the points of intersection of the curves.Then find an approximation of the area of the region bounded by the curves using the integration capabilities of the graphing utility.Round answers to
two decimal places. $$y = 2 x ^ { 2 } , \mathrm { y } = 5 - x ^ { 4 }$$

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Definitions:

Synesthesia

A neurological condition in which stimulation of one sensory or cognitive pathway leads to automatic, involuntary experiences in a second sensory or cognitive pathway.

Psychokinesis

The purported ability to move or manipulate objects with the mind without physical interaction, considered a paranormal phenomenon.

Volley Principle

A theory in auditory processing stating that groups of auditory nerve fibers fire neural impulses in rapid succession, allowing for the perception of sounds higher than 1000 Hz.

Sensory Interaction

The way that different senses like sight, hearing, and smell may affect each other and lead to a new perception.