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November 16th, 2010, 05:00 AM  #1  
Newbie Joined: Oct 2010 Posts: 6 Thanks: 0  Iranian college post graduation course entrance exams Quote:
 
January 20th, 2011, 08:18 AM  #2  
Global Moderator Joined: Dec 2006 Posts: 20,622 Thanks: 2076  Quote:
 
January 24th, 2011, 04:44 AM  #3 
Newbie Joined: Oct 2010 Posts: 6 Thanks: 0  Re: Iranian college post graduation course entrance exams
If you can solve any question, feel free to post your solution. Be aware that these problems are tricky and wrong answers are among choices!! There might be some translation and or type mistakes, If you have a better translation for some questions, your suggestion is welcome. This page is available in pgexam.erasht.com/civil2010.html 
January 24th, 2011, 05:18 AM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Iranian college post graduation course entrance exams
44) Use of partial fraction decomposition gives: 40) We want to find y' in terms of both x and y: Implicitly differentiate with respect to x: Multiply through by and solve for y': The family of orthogonal curves will then satisfy: Separate variables and integrate: Multiply through by 2 and rearrange: 
January 24th, 2011, 06:06 AM  #5 
Senior Member Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3  Re: Iranian college post graduation course entrance exams 
January 24th, 2011, 08:16 AM  #6 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Iranian college post graduation course entrance exams
45) 43) 
February 27th, 2011, 03:22 AM  #7 
Newbie Joined: Oct 2010 Posts: 6 Thanks: 0  Re: Iranian college post graduation course entrance exams
The web page containing the questions is removed; I have uploaded them again, sorry for the inconvenience! Here are the questions: 

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