Sketch a Graph to Estimate The $x$ -Coordinates of the Points of Intersection of the Given Curves

question 96

Multiple Choice

Sketch a graph to estimate the $x$ -coordinates of the points of intersection of the given curves. Then use this information to estimate the volume of the solid obtained by rotating about the $y$ axis the region enclosed by these curves.
Rounded to the nearest hundredth. Select the correct answer.
$$y = 0 , y = - x ^ { 4 } + 6 x ^ { 3 } - x ^ { 2 } + 6 x$$

• A) \(V = 3,745.96 \pi\)
• B) \(V = 3,323.88 \pi\)
• C) \(V = 3,331.63 \pi\)
• D) \(V = 3,346.96 \pi\)
• E) \(V = 3,326.40 \pi\)

---

Definitions:

Direct Materials

Raw materials that can be directly attributed to the production of specific goods or services, integral to the finished product.

Direct Labor

The labor costs directly associated with the production of goods or services, including wages of workers who are directly involved in manufacturing.

Net Cash Inflows

The difference between all cash inflows and outflows within a given period, indicating a company's ability to generate cash.

Payback Period

The time it takes for an investment to generate an amount of income or cash equal to the cost of the investment.