A chemical plant is adding pollution to a lake at the rate of 35√3 tons per year, where t is the number of years that the plant

Question

A chemical plant is adding pollution to a lake at the rate of 35√3 tons per year, where t is the number of years that the plant has been in operation.
(a) Find a formula for the total amount of pollution that will enter the lake in the first t years of the plant's operation. [Hint: Evaluate C so that no pollution has been added at time t = 0.]
P(t) =
(b) Use the formula that you found in part (a) to find how much pollution (in tons) will enter the lake in the first 4 years of the plant's operation. (Round your answer to the nearest whole number.)
P(4) = tons
(c) If all life in the lake will cease when 200 tons of pollution have entered the lake, will the lake "live" beyond 4 years?

Kunduz · Accepted Answer

Click to see the answer