(a)
\ The function is and the interval is
.
Graph :
\(1) Draw the coordinate plane.
\(2) Graph the function .
Observe the graph :
\The Pink colour represents the function .
The Blue colour represents the interval .
(b)
\Definition Of Arc Length :
\ Let the function given by represent a smooth curve on the interval
.
The arc length of between
and
is
.
Where is
.
The function is .
Differentiate with respective to .
(c)
\By using graphing utility calculate the arc length.
\Graphically the arc length is .
(a)
\The graph of the function :
(b)
\The arc length is .
(c)
\By using the graphing utility the length of the arc is .