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