In a memory experiment, Alice is able to memorize words at a rate given by $m^{\text{'}}(t)=-0\mathrm{.}01s{r}^{2}0\mathrm{.}4t$ in the same memory experiment, Ben is abile to memoric words at the rate given by $M^{\text{'}}(t)=-0\mathrm{.}006t^{2}0\mathrm{.}4t$

a$)$ Who has the higher rate of memorization?

Ben

Atice

b$)$ How many more words does that person memorize from $t=0$ to $t=10($during the first $10$ minutes of the experiment$)?$

$$ more words

$($Simplify your answer.$)$

c$)$ Over the first $10$ minutes of the experiment, on average, how many words per minute did Alice memorize?

$$ words

$($Simplify your answer.$)$