I only need parts d and e answered.I don't need the answers to parts a, b, or c.Thank you. d. To simplify calculations, a student uses a tangent line approximation to P(t) at 1=0 as a model forthe level of pollutants in the lake. At what time t does this model predict that the pollutant levels inthe lake will be safe?e. Given your answers to parts c and d above, do you feel that the tangent line model is an appropriatemodel to use? Explain your reasoning. Before current environmental regulations were in place, a certain manufacturing plant released pollutants intoa stream that feeds into a small lake. The pollutants in the lake water have been deteriorating over time andare currently changing at a rate that can be modeled by the function P'(t)=1–3e02di , in gallons/year. Alocal college professor has been taking her classes to monitor the pollutant levels for the past 5 years. Theyestimated the pollutant levels to be 50 gallons their first year of collecting data (time t = 0). A level of <38gallons is considered safe.a. Show that the pollutants in the lake are currently decreasing (t= 5).b. Use methods of calculus to determine the value of t for which the pollutant levels are at a minimum.c. Use methods of calculus to determine whether the pollutant levels are considered safe at the time youfound in part (b).

Name: I only need parts d and e answered.I don't need the answers to parts a
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: I only need parts d and e answered.I don't need the answers to parts a, b, or c.Thank you. d. To simplify calculations, a student uses a tangent line approximation to P(t) at 1=0 as a model forthe level of pollutants in the lake. At what time t does