$f(x)=x^2-5x+6$ Consider the region bounded $by$ the function $f(x)=x^2-5x+6,$ the $x$ axis and the interval

$0x3.$

$a.$ Sketch this region.

$b.$ What $is$ the total area $of$ the region?

$c.$ The line $x=c$ divides the region into two equal area regions. $As$ you already know the

total area $of$ the region, find $an$ equation that this $c$ must satisfy.

$d.$ Use your calculator's solve features $or$ other methods $to$ approximate $c$ accurate $to$ two

decimal places. $Do$ not bother trying $to$ find the exact value $ofc.$