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:

Globalization

The process by which businesses or other organizations develop international influence or start operating on an international scale, often leading to increased interconnectedness and interdependence among nations.

Transnational Communities

Groups of people who maintain connections across national borders, often sharing a common culture, language, or origin, while living in multiple countries.

Global Stratification

The hierarchical arrangement of individuals and countries around the world, based on wealth, power, and prestige.

Terrorism

Employing force and threats, particularly towards non-combatants, to achieve political objectives.