A tank with capacity 300 gallons initially contains 200 gallons of water with concentration 1 lb per gallon of salt. Water enters the tank at a rate of 2 gallons per minute with concentration :( +sin (t) ) Ibs per ounce of salt in it. The well-mixed solution flows out at a rate of 4 gallons per minute. Which of the initial value problems below models the change of the amount of salt Q(t) inside the tank during the time interval t > 0? a. Q'(t) =; 4Q(t) 200 2t sin (t) Q(0) = 200 O b. 4Q(t) Q'(t) = 1 + (t) Q(0) = 200 200 4t' 4Q(t) Q'(t) - sin Q(0) = 1 200 4t d. 4Q(t) 2t Q'(t) 1+ sin (t) 200

A tank with capacity 300 gallons initially contains 200 gallons of water with concentration 1 lb per gallon of salt. Water enters the tank at a rate of 2 gallons per minute with concentration :( +sin (t) ) Ibs per ounce of salt in it. The well-mixed solution flows out at a rate of 4 gallons per minute. Which of the initial value problems below models the change of the amount of salt Q(t) inside the tank during the time interval t > 0? a. Q'(t) =; 4Q(t) 200 2t sin (t) Q(0) = 200 O b. 4Q(t) Q'(t) = 1 + (t) Q(0) = 200 200 4t' 4Q(t) Q'(t) - sin Q(0) = 1 200 4t d. 4Q(t) 2t Q'(t) 1+ sin (t) 200

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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