Which of the following conditions is sufficient to conclude that revolving a planar…
MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
Which of the following conditions is sufficient to conclude that revolving a planar region about the x-axis will produce cross sections that are washers rather than solid disks?
(a) The region is bounded below by the x-axis and above by a single non-negative function throughout the interval.
(b) Every vertical line through the region intersects two distinct boundary curves before meeting the x-axis.
(c) Every horizontal line through the region intersects two distinct boundary curves before meeting the x-axis.
(d) The region touches the x-axis at least one point within the interval of revolution.