Mathematics, 02.06.2021 03:40, Animallover100
A factory is discharging pollution into a lake at the rate of r(t) tons per year given below, where t is the number of years that the factory has been in operation. Find the total amount of pollution discharged during the first 7 years of operation. (Round your answer to two decimal places.)
Answers: 1
![r(t) = \frac{t}{t^2 + 1}; [0,7]](/tpl/images/1358/6379/90822.png)
![v = \frac{1}{2}[\ln(7^2 +1) - \ln(0^2 +1)]](/tpl/images/1358/6379/327a3.png)
![v = \frac{1}{2}[\ln(50) - \ln(1)]](/tpl/images/1358/6379/7c2a3.png)
![v = \frac{1}{2}[3.91 - 0]](/tpl/images/1358/6379/d921b.png)
![v = \frac{1}{2}[3.91]](/tpl/images/1358/6379/ce5a2.png)
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A factory is discharging pollution into a lake at the rate of r(t) tons per year given below, where...
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