A vessel at time 0 contains "Vo" gallon(s) of brine with "ma" Ib of salt. Another salt solution with "m," kg of salt per gallon enters the vessel at a rate of "Qin gal/min. Find a D.E. for the amount of salt, "m" in the tank at any time, "t" if the thoroughly mixed solution leaves the tank at a rate of "Qout" gal/min. Select the correct response: dm m 2.2m,Qout Vo dt dm mQout m,Qin dt Vo + (Qout – Qin)t dm m = 2.2m,Qout Vo dt mQout Vo+ (Qin – Qout)t dm 2.2m,Qin dt none of these

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 vessel at time 0 contains "Vo" gallon(s) of brine with "ma" lb of salt. Another salt solution with "m," kg of salt per gallon enters the vessel at a rate of "Qin"
gal/min. Find a D.E. for the amount of salt, "m" in the tank at any time, "t" if the thoroughly mixed solution leaves the tank at a rate of "Qout" gal/min.
Select the correct response:
dm
m
= 2.2m,Qout
Vo
dt
mQout
Vo + (Qout – Qin)t
dm
miQin
dt
dm
m
= 2.2m,Qout
Vo
dt
dm
= 2.2m,Qin
dt
mQout
Vo + (Qin – Qout)t
none of these
Transcribed Image Text:A vessel at time 0 contains "Vo" gallon(s) of brine with "ma" lb of salt. Another salt solution with "m," kg of salt per gallon enters the vessel at a rate of "Qin" gal/min. Find a D.E. for the amount of salt, "m" in the tank at any time, "t" if the thoroughly mixed solution leaves the tank at a rate of "Qout" gal/min. Select the correct response: dm m = 2.2m,Qout Vo dt mQout Vo + (Qout – Qin)t dm miQin dt dm m = 2.2m,Qout Vo dt dm = 2.2m,Qin dt mQout Vo + (Qin – Qout)t none of these
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