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engr391Midterm2007

# engr391Midterm2007 - Department of Mechanical and...

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Department of Mechanical and Industrial Engineering ENGR 391 Numerical methods Midterm exam Read carefully all three questions Write all the steps you need to find the solution Please do not write in red (colour used for correction) Exercise 1 – General understanding (3 marks) a) You are implementing on a computer a numerical algorithm to solve an equation like 0 ) ( x f . In order to check your algorithm you decide to test it with the function 3 ) ( x x f (where you know that the exact solution is 0 x ). Is this a good choice? Justify your answer. b) Consider following functions. For each of them mention if it is possible to apply a bracketing method to locate their roots (if you cannot apply it give the reason): 2 4 2 3 2 1 4 5 sin 3 4 5 ) exp( 10 x x f x x f x x f x x f c) During your work you have to solve a numerical problem which is the solution of a non linear equation. You tried several algorithms you have learned in this lecture. However, all

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engr391Midterm2007 - Department of Mechanical and...

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