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The amount of particulate matter in the air of a certain region was increasing exponentially with time due to malfunctioning scrubbers in a factory's chimneys. It was concluded that the amount of particulate matter, in parts per million (ppm), could be modeled with the equation P (t) = ab', where a and b are constants andt is the time in hours. Three hours after the problem was first noticed, the particulate concentration was 54,000 ppm. Two hours later (t=5), the concentration had increased to 486,000 ppm. What was the approximate concentration, in ppm, when the problem was first noticed?

The amount of particulate matter in the air of a certain region was increasing exponentially with time due to malfunctioning scrubbers in a factory's chimneys. It was concluded that the amount of particulate matter, in parts per million (ppm), could be modeled with the equation P (t) = ab', where a and b are constants andt is the time in hours. Three hours after the problem was first noticed, the particulate concentration was 54,000 ppm. Two hours later (t=5), the concentration had increased to 486,000 ppm. What was the approximate concentration, in ppm, when the problem was first noticed?

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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11:11 AA A study.240tutoring.com (L40 + Return to course The amount of particulate matter in the air of a certain region was increasing exponentially with time due to malfunctioning scrubbers in a factory's chimneys. It was concluded that the amount of particulate matter, in parts per million (ppm), could be modeled with the equation P (t) = ab², where a and b are constants and t is the time in hours. Three hours after the problem was first noticed, the particulate concentration was 54,000 ppm. Two hours later (t=5), the concentration had increased to 486,000 ppm. What was the approximate concentration, in ppm, when the problem was first noticed? 6000 Вack Next Incorrect
Transcribed Image Text:11:11 AA A study.240tutoring.com (L40 + Return to course The amount of particulate matter in the air of a certain region was increasing exponentially with time due to malfunctioning scrubbers in a factory's chimneys. It was concluded that the amount of particulate matter, in parts per million (ppm), could be modeled with the equation P (t) = ab², where a and b are constants and t is the time in hours. Three hours after the problem was first noticed, the particulate concentration was 54,000 ppm. Two hours later (t=5), the concentration had increased to 486,000 ppm. What was the approximate concentration, in ppm, when the problem was first noticed? 6000 Вack Next Incorrect
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