In a memory experiment, Alice is able to memorize words at a rate given by m '(t)= - 0.009t^2 + 0.6t. In the same memory experiment, Ben is able to memorize words at the rate given by M' (t)= - 0.003t^2 + 0.6 t.

1. Who has the higher rate of memorization?

a. Ben
b. Alice

2. How many more words does that person memorize from t = 0 to t = 10 (during the first 10 minutes of the experiment)?
3. Over the first 10 minutes of the experiment, on average, how many words per minute did Alice memorize?
4. Over the first 10 minutes of the experiment, on average, how many words per minute did Ben memorize?