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(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: