Region is bounded by the graph of and the –axis for

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Region

T

is bounded by the graph of

y=|x-1|

and the

x

–axis for

-1\le x\le3

. Cross sections perpendicular to the

x

–axis are squares whose sides lie in

T

. What is the volume of the solid whose base is

T

? (a) 4 (b)

\dfrac{32}{3}

(c)

\dfrac{16}{3}

(d)

\dfrac{8}{3}