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WS3Key - Math 224 Spring 2007 Quiz/Worksheet 3 I Name\I Use...

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Unformatted text preview: Math 224, Spring 2007, Quiz/Worksheet 3 I Name: \I/ Use the front and back of this sheet to complete the following problems. If additional paper is needed, staple the extra sheet to this one. 1. In class we discussed the general mixing problem with decreasing volume. Consider a container whose volume is 20 liters that is initially half full of water. Solution flows into, the container at a rate of a liters/ hour containing [3 kg / liter of an unknown compound. Solution ﬂows out through a leak at the bottom of the tank at a rate of c liters/hour. Assume that the solution in the tank is well-mixed and positive constants a,b,c. (a) Write a differential equation that describes this problem. (b) Write the implied initial condition and solve the equation in terms of the constants used. ‘ (c) Let a = 3,19 2‘ 1,0 2 1. At what time does the solution become meaningless? Why? What is the amount of the unknown just before that time? (d) Let a : 1, b : 1, c z 3. How does your answer to the previous question change? 2. Complete problem 26 parts a,b and c in Chapter 2 review problems. i m I. OW -... 3%) 3 5(0):?)0 3 VM: iffjﬁiw (emit we is W's: (3%} M; i, ll: 63 {I l l A m “c :3 .. l oi Kl P (ONWCB‘t ” w r : l3,(latifgnczgjtl+l<qlo<l0rlwcll>5lfé : QX (mg: in [MM (“Wan w M Wm m; «3ch W, M i; LN? 83 mi M53 Q Q > Q km (wit :5 rm) “3/ (1:33 2’ Wein as if *2» are”): as M mi- him}? i“ SCHIQQWNJ “M (“if/0‘ l W l (10 “‘3ng -~ W” (lpwml S is) (w) {Mm v ...
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