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A tank contains 6L (liters) of water in which is dissolved 32 g (grams) of a chemical. A solution containing 2 g/L of the chemical flows into the tank at a rate of 4 L/min, and the well-stirred mixture flows out at a rate of 2 L/min. Give the differential equation that describes the rate of change of the amount X of the chemical in the tank.

A tank contains 6L (liters) of water in which is dissolved 32 g (grams) of a chemical. A solution containing 2 g/L of the chemical flows into the tank at a rate of 4 L/min, and the well-stirred mixture flows out at a rate of 2 L/min. Give the differential equation that describes the rate of change of the amount X of the chemical in the tank.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A tank contains 6L (liters) of water in which is dissolved 32 g (grams) of a chemical. A solution containing 2 g/L of the chemical flows into the tank at a rate of 4 L/min, and the well-stirred mixture flows out at a rate of 2 L/min. Give the differential equation that describes the rate of change of the amount X of the chemical in the tank.
Transcribed Image Text:A tank contains 6L (liters) of water in which is dissolved 32 g (grams) of a chemical. A solution containing 2 g/L of the chemical flows into the tank at a rate of 4 L/min, and the well-stirred mixture flows out at a rate of 2 L/min. Give the differential equation that describes the rate of change of the amount X of the chemical in the tank.
According to the latest social media research, the rate on which the number of share of a particular Facebook article change is directly proportional to the square root of the number of share an article have for any given time. Suppose you post an article based on the recent typhoon Rolly and 10 of your friends immediately share it and after 10 minutes the number of share reach 20. How long it will take before you reach 73 number of shares?
Transcribed Image Text:According to the latest social media research, the rate on which the number of share of a particular Facebook article change is directly proportional to the square root of the number of share an article have for any given time. Suppose you post an article based on the recent typhoon Rolly and 10 of your friends immediately share it and after 10 minutes the number of share reach 20. How long it will take before you reach 73 number of shares?
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