11. A dangerous toxic pollutant has been accidentally spilled in a lake. t The speed of water contamination is modelled by P(t) = e4 where P is the concentration in mg per m³ and t is time in minutes. 40 minutes later, the Environment Protection Agency has released in the lake another chemical that neutralizes the toxic pollutant. The concentration of the second chemical is modelled by N(t) = 35. The toxic pollutant will be completely neutralized when the two concentrations are equal. a) When is the maximum concentration of pollution reached? b) When is the toxic pollutant completely neutralized?

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