The number of gallons, H (t), of a pollutant in a pond changes at a rate of H' (t) = 3 – 5e-0.8√/t gallons per day, where t is measured in days. There are 100 gallons of pollutant in the pond at t = 0. Is the amount of pollutant increasing or decreasing at t = 5? O Decreasing because P' (5) < 0 O Increasing because P (5) > 0 Decreasing because P (5) <0 O Increasing because P' (5) > 0.
The number of gallons, H (t), of a pollutant in a pond changes at a rate of H' (t) = 3 – 5e-0.8√/t gallons per day, where t is measured in days. There are 100 gallons of pollutant in the pond at t = 0. Is the amount of pollutant increasing or decreasing at t = 5? O Decreasing because P' (5) < 0 O Increasing because P (5) > 0 Decreasing because P (5) <0 O Increasing because P' (5) > 0.
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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Transcribed Image Text:The number of gallons, H (t), of a pollutant in a pond changes at a rate of
H' (t) = 3 – 5e−0.8√t gallons per day, where t is measured in days. There are 100
gallons of pollutant in the pond at t = 0. Is the amount of pollutant increasing or
decreasing at t
-
5?
Decreasing because P' (5) < 0
Increasing because P (5) > 0
Decreasing because P (5) < 0
O Increasing because P' (5) > 0.
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