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:

Raw Materials

Basic materials that are used in the production process of manufacturing goods, which are then converted into finished products.

Standard Cost

A predetermined cost of manufacturing, labor, and material as estimated in accordance with standards set by the company.

Direct Materials

These are raw materials that can be directly attributed to the production process of a product, such as steel for a car or flour for a bakery.

Materials Price Variance

The difference between the actual cost of materials used in production and the standard cost of those materials as budgeted.