This is similar to Section $3\mathrm{.}7$ Problem $36$:

For the function

h$($x$)=$x$33$x$2+15$x$+(1)$

$,$ determine the absolute maximum and minimum values on the interval $(0,4).$ Keep $2$ decimal place $($rounded$)($unless the exact answer has less than $2$ decimals$).$ Use "DNE" if it does not exist.

Answer: Absolute maximum $=$ at

x$=$

$.$

Absolute minimum $.$