The growth rate of the population of a county is
$P^{'} (t) = \sqrt{t} (3370 t + 7050)$
where $t$ is time in years. How much does the population increase from $t = 1$ year to $t = 4$ years?
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Final Answer: $74688$

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Step 1 ：To find the increase in population from $t = 1$ year to $t = 4$ years, we need to integrate the given growth rate function $P^{'} (t)$ over the interval from $t = 1$ to $t = 4$ .

Step 2 ：Let $P^{'} (t) = \sqrt{t} (3370 t + 7050)$ .

Step 3 ：Integrate $P^{'} (t)$ from $t = 1$ to $t = 4$ to find the population increase.

Step 4 ：The population increase is $74688$ .

Step 5 ：Final Answer: $74688$

The growth rate of the population of a county isP′(t)=t(3370t+7050)where t is time in years. How much does the population increase from t=1 year to t=4 years?Sontint druerTres opgs

Answer

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The growth rate of the population of a county is
$P^{'} (t) = \sqrt{t} (3370 t + 7050)$
where $t$ is time in years. How much does the population increase from $t = 1$ year to $t = 4$ years?
Sontint druer
Tres opgs