Chapter 4.1, Problem 70E

Memory. In a memory experiment, the rate at which students memorize Spanish vocabulary is found to be given by

$M\text{'}\left(t\right)=0.2t-0.003t^2$,

Where $M\left(t\right)$ is the number of word memorized in t minutes.

Find $M\left(t\right)$ is the know that $M\left(0\right)=0$

How many words are memorized in 8 min?