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In a memory​ experiment, Alice is able to memorize words at a rate given by M′(t)=−0.003t2+0.6t....

In a memory​ experiment, Alice is able to memorize words at a rate given by M′(t)=−0.003t2+0.6t. In the same memory​ experiment, Ben is able to memorize words at the rate given by M′(t)= −0.015t2+0.6t.

a) who has the higher rate of memorization?

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

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

d) Over the first 10 minutes of the​ experiment, on​ average, how many words per minute did Ben​ memorize?

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