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



  1. 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.

  2. Find the line that will divide the region from part (a) into two equal pieces.

    Solve for .

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

    Use disks.

  4. Find a value such that a plane perpendicular to the -axis at will 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.