Midterm 2-2009 (Blue Version)

Midterm 2-2009 (Blue Version) - Calculus II Midterm 2...

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March, 2009 2 1. (3 marks each; total 9 marks) Answer each question in the space provided. You MUST show your work. a) Use Euler’s Method to approximate ) 4 . 0 ( y with step size 2 . 0 = h for the following initial value problem: , ' y x y + = 1 ) 0 ( = y b) A tank contains 1000 L of pure water. Brine that contains 0.10 kg of salt per liter of water enters the tank at a rate of 7 L/min. Brine that contains 0.06 kg of salt per liter of water enters the tank at a rate of 14 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 18 L/min. Set up the differential equation describing the rate of change of salt (call it A) in kg in the tank as a function of time (call it t ) in minutes, and state the corresponding initial condition. You do NOT have to solve the equation. c) The reading given by a thermometer calibrated in ice water (actual temperature C o 0 ) is a random variable with probability density function < < = otherwise
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Midterm 2-2009 (Blue Version) - Calculus II Midterm 2...

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