For Problem $2\mathrm{.}1,\backslash$mu max $=3\mathrm{.}0$ day$-1$ and Ks $=60$ mg$/$l$.$ Using Monod$$s equation, determine:

a$.$ The growth rate constant, $\backslash$mu $,$ at time zero.

b$.$ The rate of cell growth, dX$/$dt$,$ at time zero in mg$/($l$)($hr$).$

c$.$ The growth rate constant, $\backslash$mu $,$ at time equals $6$ hours.

d$.$ The rate of cell growth, dX$/$dt$,$ at time equals $6$ hours in mg$/($l$)($hr$).$