The equations are and
.
(a)
\Graph the equations and
.
Observe the graph:
\The equations of the curves have intersections at ,
,
and
.
Area of the region bounded by and
is from
to
.
(b)
\Find the points of intersection.
\ and
.
and
and
and
.
,
and
.
The area between two curves is .
Find the bounds to determine the order of integration:
\.
(c)
\Find area bounded by the curves using graphing utility.
\Observe the graph:
\The area bounded between two curves is .
(a)
\Graph of the equations and
.
(b)
\.
(c)
\The area bounded between two curves is .