(8 points) Let
Rbe 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
Ris 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
Ris rotated about the axis
y=6(Set up integral, do not evaluate, clearly state your method used) Method: Volume:
