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(9 Submit quiz This quiz: 10 point(s) possible This question: 1 point(s) possible Quiz: Mod 6 Quiz 2 (15.4 15.5) Question 10 of 10 Pollution
(9 Submit quiz This quiz: 10 point(s) possible This question: 1 point(s) possible Quiz: Mod 6 Quiz 2 (15.4 15.5) Question 10 of 10 Pollution begins to enter a lake at time t = 0 at a rate (in gallons per hour) given by the formula f(t), where t is the time (in hours). At the same time, a pollution lter begins to remove the pollution at a rate g(t) as long as the pollution remains in the lake. f(t)=11(1 e '05\"), g(t)=0.7t a. How much pollution is in the lake after 11 hours? The amount of pollution that remains in the lake after 11 hours is gallons. (Do not round until the nal answer. Then round to the nearest hundredth as needed.) b. Use a graphing calculator to nd the time after t = 0 when the rate that pollution enters the lake equals the rate the pollution is removed. The rate of pollution entering equals the rate of the pollution being removed after hours. (Round to the nearest whole number as needed.) c. Find the amount of pollution in the lake at the time found in part b. The amount of pollution in the lake after 16 hours is approximately gallons. (Do not round until the nal answer. Then round to the nearest hundredth as needed.)
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