ME218 F2010 1st Midterm Exam Solutions

# ME218 F2010 1st Midterm Exam Solutions - Department of...

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1 Department of Mechanical Engineering The University of Texas at Austin ME 218 Engineering Computational Methods Midterm Examination Fall 2010 Instructor: Prof. Dragan Djurdjanovic September 30, 2010 (8:00 am – 9:15 am) Student Name:____Solutions_____ Student EID:___________________ Lab Section Number (or time):___________________ I have neither given nor received any unauthorized aid on this exam, nor have I concealed any violations of the honor code. Signature:____________________ Note: There are 3 problems. Problem 1 carries 35 points, Problem 2 carries 25 points and Problem 3 carries 20 points. There are 80 points in total for you to win. GOOD LUCK!!!

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2 Problem 1: (35 points) An engineer needs to solve the problem This engineer has the codes for the following methods at his/her disposal: Newton-Raphson’s method Secant method False position method Initially, this engineer utilizes the Newton Raphson method to solve this problem but the procedure diverged. (a) Given that the solution has been roughly located between 0.15 and 1, please suggest what method the engineer should use next. Explain your answer. (5 points) Using false position method the engineering is guaranteed that the solution interval will converge, even if very slowly, towards the solution. After iterating and obtaining a smaller solution interval the engineer can go back to using another method, such as Newton-Raphson to converge on the solution faster. b)
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ME218 F2010 1st Midterm Exam Solutions - Department of...

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