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

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Essay

Use a graphing utility to (a) plot the graphs of the given functions and (b) find the approximate xx -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 xx -axis. Round answers to two decimal places.
y=15x5,y=3x2x3y = \frac { 1 } { 5 } x ^ { 5 } , \mathrm { y } = 3 x ^ { 2 } - x ^ { 3 }

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Definitions:

Diminishing-Balance

A method of calculating depreciation that results in larger depreciation charges in the early years of an asset's life and smaller charges in the later years.

Depreciation Expense

The allocation of the cost of a tangible asset over its useful life to account for the reduction in value due to wear and tear, age, or obsolescence.

Straight-Line Method

A method of calculating depreciation by evenly spreading the cost of an asset over its useful life.

Freight Charges

Fees paid for the transportation of goods from one place to another, typically charged by shipping companies.

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