Sketch a Plane Region and Indicate the Axis About Which $2 \pi \int _ { 0 } ^ { 1 } y \left( y ^ { 1 / 9 } - y \right) d y$

question 11

Multiple Choice

Sketch a plane region and indicate the axis about which it is revolved so that the resulting solid of revolution (found using the shell method) is given by the integral.
$2 \pi \int _ { 0 } ^ { 1 } y \left( y ^ { 1 / 9 } - y \right) d y$

---

Definitions:

Chart Data

The numerical or categorical information that is visualized through a chart to represent patterns, trends, or relationships.

Horizontally

In a direction or alignment from left to right or right to left, parallel to the horizon.

Vertically

In a direction or way that is perpendicular to the horizon; from top to bottom or bottom to top.

Insert Table

A function in software applications that allows users to add a table into a document, spreadsheet, or presentation to organize and present data systematically.