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Solve the Problem A\mathrm { A } Is Able to Memorize Words at a Rate Given By

question 237

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Solve the problem.
-In a certain memory experiment, subject A\mathrm { A } is able to memorize words at a rate given by
dmdt=0.006t2+0.4t\frac { \mathrm { dm } } { \mathrm { dt } } = - 0.006 \mathrm { t } ^ { 2 } + 0.4 \mathrm { t } \quad (words per minute) .
In the same memory experiment, subject BB is able to memorize at the rate given by
dMdt=0.012t2+0.4t\frac { \mathrm { dM } } { \mathrm { dt } } = - 0.012 \mathrm { t } ^ { 2 } + 0.4 \mathrm { t } \quad (words per minute) .
How many more words does subject BB memorize from t=0t = 0 to t=19t = 19 (during the first 19 minutes) ?

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