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 Q(t)=18(1e-0.0st) where t is measured in minutes and Q(t) is measured in pounds. (a) How much salt is in the barrel after 9 min? (Round your answer to two decimal places.) lb (b) How much salt is in the barrel after 18 min? (Round your answer to two decimal places.) lb (c) Draw a graph of the function Q(t). Q(t) 20 15 10 O sk Q(t) 20 15 O 10 5 20 20 40 40 60 60 80 80 100 100 t 20 Q(t) 15 10 O O 20 Q(t) 40 20 60 20 n 15 10 5 40 80 60 80 100 (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 t t 100 time t is given by
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 Q(t)=18(1e-0.0st) where t is measured in minutes and Q(t) is measured in pounds. (a) How much salt is in the barrel after 9 min? (Round your answer to two decimal places.) lb (b) How much salt is in the barrel after 18 min? (Round your answer to two decimal places.) lb (c) Draw a graph of the function Q(t). Q(t) 20 15 10 O sk Q(t) 20 15 O 10 5 20 20 40 40 60 60 80 80 100 100 t 20 Q(t) 15 10 O O 20 Q(t) 40 20 60 20 n 15 10 5 40 80 60 80 100 (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 t t 100 time t is given by
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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(1e-0.05t)
where t is measured in minutes and Q(t) is measured in pounds.
(a) How much salt is in the barrel after 9 min? (Round your answer to two decimal places.)
lb
(b) How much salt is in the barrel after 18 min? (Round your answer to two decimal places.)
(c) Draw a graph of the function Q(t).
Q(t)
20
15
10
5
Q(t)
20
15
10
20
5
40
20
60
40
80
60
100
80
O
Q(t)
20
15
ch
10
t
100
Q(t)
20
15
10
20
40
20
60
40
80
60
80
100
(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
t
t
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