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According to a recent data analysis, the amount A(t) of atmospheric pollutants in a certain city is found to approximately quadruple every 9.5 years. The current amount of pollution in this city is 25 pu (pollutant units), and it is considered to be dangerous to stay in the city when the amount of pollutants reaches 120 pu. Applying the differential equation model: (dA/dt) = kA. (k>0) approximately, how long do the residents of this city have before the dangerous limit is reached? Choose All Correct Answers Below (A) 10.75 years B) 13.64 years C) 12.3 years D) 8.45 years (E) 11.85 years (F) 9.53 years

According to a recent data analysis, the amount A(t) of atmospheric pollutants in a certain city is found to approximately quadruple every 9.5 years. The current amount of pollution in this city is 25 pu (pollutant units), and it is considered to be dangerous to stay in the city when the amount of pollutants reaches 120 pu. Applying the differential equation model: (dA/dt) = kA. (k>0) approximately, how long do the residents of this city have before the dangerous limit is reached? Choose All Correct Answers Below (A) 10.75 years B) 13.64 years C) 12.3 years D) 8.45 years (E) 11.85 years (F) 9.53 years

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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< According to a recent data analysis, the amount A(t) of atmospheric pollutants in a certain city is found to approximately quadruple every 9.5 years. The current amount of pollution in this city is 25 pu (pollutant units), and it is considered to be dangerous to stay in the city when the amount of pollutants reaches 120 pu. Applying the differential equation model: (dA/dt) = kA, (k>0) approximately, how long do the residents of this city have before the dangerous limit is reached? Choose All Correct Answers Below A B E 10.75 years 13.64 years 12.3 years 8.45 years 11.85 years 9.53 years
Transcribed Image Text:< According to a recent data analysis, the amount A(t) of atmospheric pollutants in a certain city is found to approximately quadruple every 9.5 years. The current amount of pollution in this city is 25 pu (pollutant units), and it is considered to be dangerous to stay in the city when the amount of pollutants reaches 120 pu. Applying the differential equation model: (dA/dt) = kA, (k>0) approximately, how long do the residents of this city have before the dangerous limit is reached? Choose All Correct Answers Below A B E 10.75 years 13.64 years 12.3 years 8.45 years 11.85 years 9.53 years
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