Use the Shell Method to Find the Volume of the Solid

question 22

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and
lines about the y-axis.
- $$y = x ^ { 2 } - 5 , y = 4 x , x = 0 \text {, for } x \geq 0$$

• A) \(\frac { 875 } { 6 } \pi\)
• B) \(125 \pi\)
• C) \(\frac { 875 } { 3 } \pi\)
• D) \(\frac { 875 } { 12 } \pi\)

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Definitions:

Fixed Costs

These are business expenses that remain constant regardless of the level of goods or services produced, such as rent, salaries, and insurance premiums.

Average Variable Cost

The total variable costs divided by the quantity of output produced, representing the variable cost per unit.

Marginal Cost

The additional cost incurred by producing one more unit of a good or service.

Fixed Costs

Costs that do not vary with the level of output or production in the short term, such as rent or salaries.