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

8-125.

Given:

*f*(*x*) =Homework Help ✎ Find the area of the region bounded by

*f*,*x*-axis, and the line*x*= 8.Find the line

*x*=*c*that will divide the region from part (a) into two equal pieces.Find the volume of the solid that is formed by rotating the region described in part (a) about the

*x*-axis.Find a value

*d*such that a plane perpendicular to the*x*-axis at*d*=*x*will divide the solid in part (c) into two equal parts.

Before you setup an integral, sketch the graph and shade the region. You should be able to sketch *f*(*x*) without a graphing calculator, as it is simply of horizontal shift of

Solve for *c*.

Use disks.

Refer to the hint in part (b) and follow a similar process using a generic volume formula instead of a generic area formula.