The region bounded above by the graph of and below by the graph of is revolved about…
MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
The region bounded above by the graph of y=3x−x2 and below by the graph of y=x is revolved about the horizontal line y=−2. For a value of x in the interval where the region exists, which of the following expressions gives the distance from the axis of rotation to the farther of the two curves?
(a) x+2
(b) 3x−x2−2
(c) 3x−x2+2
(d) ∣(3x−x2)−x∣