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) \(V = 3,326.40 \pi\)

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