If necessary, round results accurate to at least $2$ decimal places.

Consider the function:

$f(x)=7ln(x)+\frac{17}{6x^2}on$ the interval $0\mathrm{.}5,2$

Determine the absolute maximum of $f$ on the given interval. If the extrema does not exist, enter "DNE" for both answers.

$f$ has an absolute maximum value of which occurs at $x=$

b$.$ Determine the absolute minimum of $f$ on the given interval. If the extrema does not exist, enter "DNE" for both answers.

$f$ has an absolute minimum value of which occurs at $x=$