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222-robbin-07spex03

# 222-robbin-07spex03 - Name Math 222 Exam III Friday Circle...

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Unformatted text preview: Name _________-_____-__-__-_______-_.____ ' Math 222, Exam III, Friday, April 13, 2007 Circle your section: 3.23 324 326 3.27 328 329 330 331 113 INGRAHAM B329 VAN VLECK B135 VAN VLECK 119 VAN VLECK B337 VAN VLECK B305 VAN VLECK B329 VAN VLECK B333 VAN VLECK I , III IV V 30 Points 30 Points TR 08:50v09140’ TR 09:55—10:45 TR 11:00~11:50 TR 1113041150 TR 12:05—12:55 TR 13:20—14:10 TR 14:25—15:15 TR 15:30—16:20 30 Points Georgiou, Nicos Georgiou, Nicos Ache, Antonio Beros, Achilles‘ Ache, Antonio Beros, Constantinos Beros, Constantinos Betas, Achilles SHOW YOUR REASONING. I. (30 points.) The differential equation is called the Logistic Equation. Find the solution which satisﬁes 31(0) 2 ‘0. Find limt.»co y(t) for the solution you just found. II. (30 points.) Find y if 21(0) .2, 2/(0) L III. (30 points.) Find y if ahdy=7whenx=0. IV. (30 points.) Find y if dzy _ , zit—2 + 4y = smt y(0) = 2, y‘(0) = 3. V. points.) A 1000 gallon vat is full of 25% solution of acid. Starting at time t = 0 a 40% solution of acid is pumped into the vat at 20 gallons per minute. The solution is kept well mixed and drawn off at 20 gallons per minute so as to maintain the total value of 1000 gallons. Derive an expression for the acid concentration at times t > 0. As 75 —> 00 what percentage solution is approached? ‘ ...
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