(8 points) Let
R
be the region enclosed by the curves of
y=(x-3)^(2)
and
y=x-1
. (a) Sketch the region
R
. (b) Set up, do not evaluate, an integral for the area enclosed in the region
R
. (c) Find the volume obtained when the region
R
is rotated about the
y
-axis (Set up integral, do not evaluate, clearly state your method used) Method: Volume: (d) Find the volume obtained when the region
R
is rotated about the axis
y=6
(Set up integral, do not evaluate, clearly state your method used) Method: Volume: