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Unformatted text preview: Fall 2006 Math 33B, Lecture 1 Midterm I Name: UCLA ID: Discussion session (circle one) 1A (Faizal Sainal, Tuesday) 1B (Faizal Sainal, Thursday) 1C (Chris Vogl, Tuesday) 1D (Chris Vogl, Thursday) Directions: Fill in your name and circle your section above. No outside materials are allowed. Show all the necessary steps involved in finding your solutions, unless otherwise instructed. Good luck. PROBLEM SCORE 1 2 3 4 TOTAL 1 1. (25 pts) Suppose a tank initially contains 100 gallons of salt-water solution containing k lb of salt per gallon. Salt-water solution containing 1 lb of salt for each gallon of water begins entering the tank at a rate of 2 gal/min at t = 0. Simultaneously, a drain is opened at the bottom of the tank, allowing the salt-water solution to leave the tank at a rate of 1 gal/min. We assume that the tank is of infinite capacity and thus never overflows. (20 pt)(a) Suppose there is 2 lb. of salt in the tank after 10 minutes....
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- Winter '07