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

question 23

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 the 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. $$y = \frac { 1 } { 5 } x ^ { 5 } , y = 3 x ^ { 2 } - x ^ { 3 }$$

---

Definitions:

Incarceration

The confinement of individuals in prisons or jails as punishment for committing crimes.

Youth Crime Rates

The frequency of crimes committed by individuals of a younger age group within a specified period and area.

Types of Deviance

Categorizations that explain various behaviors that diverge from societal norms, including criminal and non-criminal acts.

Universal Definition

A widely accepted or agreed-upon explanation or meaning of a term or concept, applicable in all contexts and situations.