Answer Happy

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, a pollution filter begins to remove the pollution at a rate g(t) as long as the pollution remains in the lake. f(t) = 8(1 - e-0.5), g(t) = 0.67 a) How much pollution is in the lake after 10? Which of the following is the correct setup? Compute f'(10) - 9'(10) Compute f(10) - 9(10) 10 O Evaluate 10 O Evaluate % 1861 – e-est) – 0.6) S“ (0.6) /18(1 – e-use) – 0.6t|dt O Evaluate - The amount of pollution that remains in the lake after 10 is gallons. Round to the nearest hundredth as needed. b) Use Desmos ) to graph f(t) and g(t). Find when the rate that pollution enters the lake equals the rate the pollution is removed. Round to the nearest whole number as needed. Answer: The rate of pollution entering equals the rate of the pollution being removed after hours. c) Find the amount of pollution in the lake at the time found in part b). Answer: The amount of pollution in the lake is approximately gallons. (Round to the nearest hundredth as needed.)