In a memory experiment, Alice is able to memorize words at a rate given by $m^{\prime}(t)=-0.009 t^{2}+0.6 t$. In the same memory experiment, Ben is able to memorize words at the rate given by $M^{\prime}(t)=-0.003 t^{2}+0.6 t$. a) Who has the higher rate of memorization? Alice Ben b) How many more words does that person memorize from $t=0$ to $t=10$ (during the first 10 minutes of the experime more words (Simplify your answer.)

Step 1 ：Given the rates of memorization for Alice and Ben as functions $m^{\prime}(t)=-0.009 t^{2}+0.6 t$ and $M^{\prime}(t)=-0.003 t^{2}+0.6 t$ respectively.

Step 2 ：To determine who has the higher rate of memorization, we can compare the two rates by evaluating the functions at a specific time, say $t=1$.

Step 3 ：Substitute $t=1$ into both functions, we get $m^{\prime}(1)=-0.009*1^{2}+0.6*1=0.591$ and $M^{\prime}(1)=-0.003*1^{2}+0.6*1=0.597$.

Step 4 ：Comparing the results, we can see that at $t=1$, Ben (represented by $M^{\prime}(t)$) has a higher rate of memorization than Alice (represented by $m^{\prime}(t)$).

Step 5 ：Therefore, Ben has the higher rate of memorization. The final answer is \(\boxed{Ben}\).