$(1$ point$)$

The charge in a circuit element is given as q$($t$)=16\mathrm{.}9$t$21\mathrm{.}9$t$4$q$($t$)=16\mathrm{.}9$t$21\mathrm{.}9$t$4$ coul.

Find:

$($a$)$ the total charge is accumulated at t $=2\mathrm{.}4$ s

$($b$)$ the maximum charge accumulated in the interval $(0$t$4)(0$t$4),$ and when it occurs

$($c$)$ the rate charge is being accumulated at t $=0\mathrm{.}77$ s$.$

$($a$)$ q$(2\mathrm{.}4)$q$(2\mathrm{.}4)=$ C

$($b$)$ qmaxqmax $=$ C

tmaxtmax $=$ s

$($c$)$ Rate of q$(0\mathrm{.}77)=$ A