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# Surname Name Personal Code 1 Politecnico di Milano – Industrial Technologies Course Exam 14 January 2019 Exchange Student (e.g. Erasmus) Yes No From (please, fill in your university, just if you are an Exchange student) RULES – PLEASE READ THEM BEFORE STARTING  Please, check on your paper your name, surname and personal code.  Please, be schematic and short! One page per question is enough! Don’t be verbose as Italians . You can use all the pages ( front and rear of each paper ). Be clear and write in understandable way! Go directly to the core of the question, don’t waste time in long introductions!  In solving exercises, please state clearly the main steps of the solution! Anyhow, it should be clear that an exercise with wrong numbers at the end is failed . You want to be an engineer, for this numbers are important!  You CAN NOT use any materials (e.g. books, notes, etc.). Trespassers will be prosecuted!  THIS IS NOT THE TIME TO ASK, BUT TO ANSWER ! The professor and assistants will not reply to your questions. If you have any doubt, please mention it on your text.  Please, use TWO DECIMAL NUMBERS after comma.  Available time 90 minutes. Instructions (VERY IMPORTANT)  Please, read the last number of your personal code (your personal code is)  If it is between 0 and 4, you are in the GROUP X  If it is between 5 and 9, you are in the GROUP Y  Pay attention to some questions, in which you have the GAMMA coefficient, which is used to change some elements: GAMMA is set to 1 for group X, and to 2 for group Y. The final answers for practical questions must be reported within the boxes . The full procedure for solving the exercise must be clearly reported on the paper (you can use also rear papers). YOU MUST USE only this text. None other papers could be used!…