Water is added to a storm water retention pond during a heavy rainstorm at the following rate in gallons per minute: R(t)=et, for 0 < t < 5 = 50e-0.2t, for 5 ≤ t < 15 Water exits the storm water retention pond into a stream at the following rate in gallons per minute: S (t) = for 0 < t < 15 " In(t+9) a) Is R continuous at t = 5? Show the work that leads to your answer. b) Find the average rate of change of S (t) over the interval 0 < t < 3. Using correct units, explain he meaning of that value in the context of this problem.
Water is added to a storm water retention pond during a heavy rainstorm at the following rate in gallons per minute: R(t)=et, for 0 < t < 5 = 50e-0.2t, for 5 ≤ t < 15 Water exits the storm water retention pond into a stream at the following rate in gallons per minute: S (t) = for 0 < t < 15 " In(t+9) a) Is R continuous at t = 5? Show the work that leads to your answer. b) Find the average rate of change of S (t) over the interval 0 < t < 3. Using correct units, explain he meaning of that value in the context of this problem.
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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