The base of a solid is a planar region whose vertical separation at position is
MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
The base of a solid is a planar region whose vertical separation at position x is w(x). Cross sections perpendicular to the x-axis are isosceles right triangles whose two equal legs lie entirely in the base.
State a formula for the area A(x) of one such triangular cross section in terms of w(x), and briefly justify your answer.