Consider the region R, which is bounded by the
curves y=3x and x=y(4−y).
(a) Set up, but DO NOT SOLVE, an integral to find the area of
the region RR.
(b) Set up, but DO NOT SOLVE, an integral to find the volume of
the solid resulting from revolving the region RRaround the
xx-axis.
(c) Set up, but DO NOT SOLVE, an integral to find the volume of
the solid resulting from revolving the region RRaround the line
x=−5x=−5.