Suppose that in a memory experiment the rate of memorizing is given by
$M^{'} (t) = - 0.003 t^{2} + 0.8 t$
where $M^{'} (t)$ is the memory rate, in words per minute. How many words are memorized in the first $20 \min$ (from $t = 0$ to $t = 20) ?$
In the first 20 minutes words are memorized.

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Final Answer: The total number of words memorized in the first 20 minutes is $152$ .

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Step 1 ：Suppose that in a memory experiment the rate of memorizing is given by $M^{'} (t) = - 0.003 t^{2} + 0.8 t$ , where $M^{'} (t)$ is the memory rate, in words per minute.

Step 2 ：To find the total number of words memorized in the first 20 minutes, we need to integrate the rate function from 0 to 20.

Step 3 ：After performing the integration, we find that the total number of words memorized in the first 20 minutes is 152.

Step 4 ：Final Answer: The total number of words memorized in the first 20 minutes is $152$ .

Suppose that in a memory experiment the rate of memorizing is given byM′(t)=−0.003t2+0.8twhere M′(t) is the memory rate, in words per minute. How many words are memorized in the first 20 min (from t=0 to t=20)?In the first 20 minutes words are memorized.

Answer

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Suppose that in a memory experiment the rate of memorizing is given by
$M^{'} (t) = - 0.003 t^{2} + 0.8 t$
where $M^{'} (t)$ is the memory rate, in words per minute. How many words are memorized in the first $20 \min$ (from $t = 0$ to $t = 20) ?$
In the first 20 minutes words are memorized.