The equations are ,
and
.
(a)
\Graph the equations ,
and
.
Observe the graph:
\The equation is upper curve and
is lower curve.
The two curves are intersected at and
.
Therefore, the region bounded between to
.
(b)
\ on interval
.
The area between two curves is .
Consider
.
Apply derivative on each side with respect to .
.
Substitute ,
and
.
When ,
.
When ,
.
Substitute .
.
When ,
.
When ,
.
Apply formula: .
.
.
(c)
\Estimate the area by using graph:
\Observe the graph:
\The area bounded between two curves is .
(a)
\Graph of the functions and
.
(b) The area bounded between two curves is .
(c) .