1zz5test3version1-2010 - Math 1ZZ5 Test #3 (Version 1)...

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Math 1ZZ5 Test #3 (Version 1) Wednesday March 3, 2010 Name :___________________________________________ (Last Name) (First Name) Student Number: _____________________ This test consists of 30 multiple choice questions worth 1 mark each (no part marks), and 1 question worth 1 mark on proper computer card filling. Questions must be answered on the COMPUTER CARD with an HB PENCIL. Marks will not be deducted for wrong answers (i.e., there is no penalty for guessing). You are responsible for ensuring that your copy of the test is complete. Bring any discrepancy to the attention of the invigilator. Calculators are NOT allowed. 1. Let be the solution to the differential equation . Find CÐBÑ / B œ $C C ß CÐ!Ñ œ ! $B # w cos CÐ Ñ 1 . (a) (b) (c) (d)   """ $$# $$$$ "Î$ "Î$ "Î# "Î# Ð/  "Ñ Ð/  #Ñ Ð/  "Ñ #Ð/  "Ñ 1111 (e) $ % $ %Î$ Ð/  "Ñ 1 2. Find the orthogonal trajectories of the family of curves . Cœ5 B # (a) (b) (c) (d) CC $$ #$ ## # $ "# $ # œB - C œ B - (e) C $ # $ œ#B - 3. Solve the the differential equation . C œ /  &Cß CÐ!Ñ œ ! w B (a) (b) (c) "" " &% & B &B B %B B #B " / Ñ Cœ/Ð " " (d) (e) %& #B %B &B Ð/  / Ñ Ð"  / Ñ 4. A tank initially contains 10 L of water. A solution with a salt concentration of .5 kg L is Î added at a rate of 2 L/min. The solution is kept mixed and is drained from the tank at a rate of 1 L/min. If is the amount of salt (in kilograms) after minutes, it can be shown that CÐ>Ñ > C satisfies the differential equation .C " .> >  C œ " 10 Solve this equation and find the amount of salt in the tank after minutes. "!
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This note was uploaded on 09/26/2010 for the course ENGINEERIN 1ZZ5,1D03, taught by Professor Danielson during the Fall '10 term at McMaster University.

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1zz5test3version1-2010 - Math 1ZZ5 Test #3 (Version 1)...

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