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A graphing calculator is recommended. A 60-gallon barrel is filled completely with pure water. Salt water 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) 18(1e-0.02t) where t is measured minutes and Q(t) is measured in pounds. (a) How much salt is in the barrel after 2 min? (Round your answer to two decimal places.)

A graphing calculator is recommended. A 60-gallon barrel is filled completely with pure water. Salt water 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) 18(1e-0.02t) where t is measured minutes and Q(t) is measured in pounds. (a) How much salt is in the barrel after 2 min? (Round your answer to two decimal places.)

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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A graphing calculator is recommended. A 60-gallon barrel is filled completely with pure water. Salt water 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) = 18(1 e - e-0.02t) where t is measured in minutes and Q(t) is measured in pounds. (a) How much salt is in the barrel after 2 min? (Round your answer to two decimal places.) lb (b) How much salt is in the barrel after 4 min? (Round your answer to two decimal places.) lb
Transcribed Image Text:A graphing calculator is recommended. A 60-gallon barrel is filled completely with pure water. Salt water 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) = 18(1 e - e-0.02t) where t is measured in minutes and Q(t) is measured in pounds. (a) How much salt is in the barrel after 2 min? (Round your answer to two decimal places.) lb (b) How much salt is in the barrel after 4 min? (Round your answer to two decimal places.) lb
(c) Draw a graph of the function Q(t). Q(t) 20 15 10 5 Q(t) 20 15 10 5 20 20 40 40 60 60 80 80 100 100 t t Q(t) 20 15 10 5 Q(t) 20 15 10 5 20 20 40 40 60 60 80 80 (d) Use the graph in part (c) to determine the value that the amount of salt in the barrel approaches as t becomes large. lb 100 100 t t
Transcribed Image Text:(c) Draw a graph of the function Q(t). Q(t) 20 15 10 5 Q(t) 20 15 10 5 20 20 40 40 60 60 80 80 100 100 t t Q(t) 20 15 10 5 Q(t) 20 15 10 5 20 20 40 40 60 60 80 80 (d) Use the graph in part (c) to determine the value that the amount of salt in the barrel approaches as t becomes large. lb 100 100 t t
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