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A 100-gal tank initially contains pure water. A solution of dye containing 0.3 lb/gal flows into the tank at the rate of 5 galmin and the resulting mixture flows out at the same rate. After 15 min, the process is stopped and fresh water flows into the tank at the rate of 5 gpm and the mixture flows out at the same rate. Find the concentration of dye in the tank at the end of 30 min.

A 100-gal tank initially contains pure water. A solution of dye containing 0.3 lb/gal flows into the tank at the rate of 5 galmin and the resulting mixture flows out at the same rate. After 15 min, the process is stopped and fresh water flows into the tank at the rate of 5 gpm and the mixture flows out at the same rate. Find the concentration of dye in the tank at the end of 30 min.

Calculus: Early Transcendentals
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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A 100-gal tank initially contains pure water. A solution of dye containing 0.3 lb/gal flows into the tank at the rate of 5 gal/min and the resulting mixture flows out at the same rate. After 15 min, the process is stopped and fresh water flows into the tank at the rate of 5 gpm and the mixture flows out at the same rate. Find the concentration of dye in the tank at the end of 30 min.
Transcribed Image Text:A 100-gal tank initially contains pure water. A solution of dye containing 0.3 lb/gal flows into the tank at the rate of 5 gal/min and the resulting mixture flows out at the same rate. After 15 min, the process is stopped and fresh water flows into the tank at the rate of 5 gpm and the mixture flows out at the same rate. Find the concentration of dye in the tank at the end of 30 min.
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