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# Wksht1 - Math 16C Kouba Worksheet 1 Let S represent the...

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Unformatted text preview: Math 16C Kouba Worksheet 1 Let S represent the amount (in pounds) of salt in each tank at time t minutes. Find a formula for S for each of the following and then answer the particular questions. 1.) A solution containing 1 / 2 lb. of salt per gallon ﬂows into a tank at the rate of 2 gal. / min. and the well-stirred mixture ﬂows out of the tank at the same rate. The tank initially holds 100 gallons of solution containing 5 lbs. of salt. a.) How much salt is in the tank after 30 minutes ? b.) How much salt do you expect to be in the tank as t gets inﬁnitely large ? 2.) A solution containing 1 lb. of salt per gallon flows into a tank at the rate of 5 gal. / min. and the well-stirred mixture ﬂows out of the tank at the rate of 4 gal. / min. The tank initially holds 50 gallons of water containing no salt. a.) How many gallons of solution are in the tank after 1 hour ? b.) How much salt is in the tank after 1 hour ? c.) Assuming that the tank is very large, how much salt per gallon do you expect to be in the tank as t get inﬁnitely large ? ...
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