In a memory experiment, Alice is able to memorize words at a rate given by

m(t)=0.006t2+0.6t.

In the same memory experiment, Ben is able to memorize words at the rate given by

M(t)=0.012t2+0.6t.

Question content area bottom

Part 1

a) Who has the higher rate of memorization?

Ben

Ben

Alice

Alice

Part 2

b) How many more words does that person memorize from

t=0

to

t=10

(during the first

10

minutes of the experiment)?

enter your response here

more words

(Simplify your answer.)

Part 3

c) Over the first

10

minutes of the experiment, on average, how many words per minute did Alice memorize?

enter your response here

words

(Simplify your answer.)

Part 4

d) Over the first

10

minutes of the experiment, on average, how many words per minute did Ben memorize?

enter your response here

words

(Simplify your answer.