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Unformatted text preview: Mathematics 33B  Practice Final Instructor : D. E. Weisbart NAME (please print legibly): Your University ID Number: Your Discussion Section and TA: Signature: QUESTION VALUE SCORE 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 10 10 TOTAL 100 1 1. (10 points) Starting at time t = 0 a solution containing 2 gm of serum per liter is being fed into a 5 liter tank at a rate of 0.1 liter per minute. The tank is full at time t = 0 and contains no serum. The mixture of liquid and serum leaves the tank at a rate of 0.1 liter per minute, so that the tank remains full at all times. It is important to stop the flow of serum when the concentration of serum in the tank (which happens to be part of someones body) reaches 1 gm per liter. Find the time to stop the flow. Leave your answer in logarithms. 2 2. (10 points) a) Find the solution to y x ( y 2) 2 = 0 satisfying y (1) = 4. What is the interval of existence for this solution? b) Find the solution to the equation in part a) satisfying y (1) = 2. What is the interval of existence for this solution?...
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 Winter '07
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 Math

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