Water containing 0.5 lb/gal of salt enters a tank at a rate of 2 gal/min and leaves the tank at a rate of 3 gal/min. Suppose the tank initially contains 300 gallons of water and 60 lb of salt. (a) Set up an ODE for the amount of salt in the tank, x(t). b)solve it c)Sketch an accurate solution for x(t).

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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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Water containing 0.5 lb/gal of salt enters a tank at a rate of 2 gal/min and leaves the tank at a rate of 3 gal/min. Suppose the tank initially contains 300 gallons of water and 60 lb of salt.

(a) Set up an ODE for the amount of salt in the tank, x(t).

b)solve it

c)Sketch an accurate solution for x(t). Don't omit details.

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