### Home > CALC > Chapter 8 > Lesson 8.3.3 > Problem 8-125

8-125.

Given:

Find the area of the region bounded by

,-axis, and the line.Before you setup an integral, sketch the graph and shade the region. You should be able to sketch

without a graphing calculator.Find the line

that will divide the region from part (a) into two equal pieces.Solve for

.Find the volume of the solid that is formed by rotating the region described in part (a) about the

-axis.Use disks.

Find a value

such that a plane perpendicular to the-axis atwill divide the solid in part (c) into two equal parts.Refer to the hint in part (b) and follow a similar process using a generic volume formula instead of a generic area formula.