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(Solved): (8 points) Let R be the region enclosed by the curves of y=(x-3)^(2) and y=x-1. (a) Sketch the regi ...



(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:



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