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

question 76

Essay

Use a graphing utility to (a) plot the graphs of the given functions and (b) find the approximate $x$ -coordinates of the points of intersection of the graphs. Then find an approximation of volume of the solid obtained by revolving the region bounded by the graphs of the functions about the $x$ -axis. Round answers to two decimal places.
$$y = \frac { 1 } { 5 } x ^ { 5 } , y = 3 x ^ { 2 } - x ^ { 3 }$$

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Definitions:

Loud Stimulus

A sound or noise of high decibel level that triggers a sensory response.

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Conditions in which animals are kept in living spaces with insufficient room per individual, often leading to stress and health issues.

Overcrowding

A situation where more people are situated within a space than is comfortable, safe, or desirable.

Social Interactions

The processes by which individuals act and react in relation to others, including communication, influence, and relationship building.