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# Q2r - solution in the tank is always completely mixed 2 2 a...

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NAME Quiz II 1. A 60 gallon tank contains 30 gallons of pure water at time t = 0. At that time a salt-water solution containing 0.25 lb/gal of salt begins to enter the tank at a rate of 4 gal/min. Simultaneously, a drain at the bottom of the tank is opened, allowing the salt-water solution to leave the tank at a rate of 2 gal/min. What is the salt content (in lbs) of the tank at the moment that it becomes full? Assume that the

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Unformatted text preview: solution in the tank is always completely mixed. 2 2. a) The diﬀerential form ω = ( x 2 +2 xy ) dx +( x 2 + y 2 ) dy is exact. Find a function F ( x,y ) such that dF = ω . b) The level curves of the function F ( x,y ) that you found in part a) are solutions to a ﬁrst order diﬀerential equation. Write down that diﬀerential equation....
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Q2r - solution in the tank is always completely mixed 2 2 a...

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