A 50-gal barrel is filled completely with pure water. Saltwater with a concentration of 0.3 lb/gal is then pumped into the barrel, and the resulting mixture overflows at the same rate. The amount of salt in the barrel at time t is given by Q (t) = 15 (1 – e-0.04r ) where t is measured in minutes and %3D Q(t) is measured in pounds.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Draw a graph of the function Q(t).

A 50-gal barrel is filled completely with pure water. Saltwater with a concentration of 0.3 Ib/gal is
then pumped into the barrel, and the resulting mixture overflows at the same rate. The amount of
salt in the barrel at time t is given by Q (t) = 15 (1 – e-0.047 ) where t is measured in minutes and
Q(t) is measured in pounds.
Transcribed Image Text:A 50-gal barrel is filled completely with pure water. Saltwater with a concentration of 0.3 Ib/gal is then pumped into the barrel, and the resulting mixture overflows at the same rate. The amount of salt in the barrel at time t is given by Q (t) = 15 (1 – e-0.047 ) where t is measured in minutes and Q(t) is measured in pounds.
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