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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