In a memory experiment, Alice is able to memorize words at a rate given by m′(t)=−0.009t2+0.5t. In the same memory experiment, Ben is able to memorize words at the rate given by M′(t)=−0.003t2+0.5t. a) Who has the higher rate of memorization? Ben Alice b) How many more words does that person memorize from t=0 to t=10 (during the first 10 minutes of the experiment)? words (Simplify your answer.) c) Over the first 10 minutes of the experiment, on average, how many words per minute did Alice memorize? words (Simplify your answer.) d) Over the first 10 minutes of the experiment, on average, how many words per minute did Ben memorize? words (Simplify your answer.)
In a memory experiment, Alice is able to memorize words at a rate given by m′(t)=−0.009t2+0.5t. In the same memory experiment, Ben is able to memorize words at the rate given by M′(t)=−0.003t2+0.5t. a) Who has the higher rate of memorization? Ben Alice b) How many more words does that person memorize from t=0 to t=10 (during the first 10 minutes of the experiment)? words (Simplify your answer.) c) Over the first 10 minutes of the experiment, on average, how many words per minute did Alice memorize? words (Simplify your answer.) d) Over the first 10 minutes of the experiment, on average, how many words per minute did Ben memorize? words (Simplify your answer.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In a memory experiment, Alice is able to memorize words at a rate given by m′(t)=−0.009t2+0.5t. In the same memory experiment, Ben is able to memorize words at the rate given by M′(t)=−0.003t2+0.5t.
a) Who has the higher rate of memorization?
Alice
b) How many more words does that person memorize from
t=0 to t=10
(during the first 10 minutes of the experiment)?words
(Simplify your answer.)
c) Over the first 10 minutes of the experiment, on average, how many words per minute did Alice memorize?
(Simplify your answer.)
d) Over the first 10 minutes of the experiment, on average, how many words per minute did Ben memorize?
words
(Simplify your answer.)
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