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

question 108

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

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