can be written as
Then, since
when
,
y varies between
for each fixed x. Thus the volume in question is equal to
and above the region bounded by
.
(b) Identify which curves are which in the x-y plane in the graph below.
Solution (a) The curves
can be written as
Then, since
when
,
y varies between
for each fixed x. Thus the volume in question is equal to
(b) The curve in the x-y plane that lies toward the front is the curve y = x^2; the one toward the rear is y = sqrt(x).