November 18th, 2010, 01:17 AM  #1 
Member Joined: Oct 2010 Posts: 43 Thanks: 0  NicePlease help
1. Let be a continuous function on and differentiable on for all . Prove that there exists so that 2. Find the least value of where a,b,c are real numbers satisfying and 
November 18th, 2010, 01:43 AM  #2 
Senior Member Joined: Oct 2010 From: Changchun, China Posts: 492 Thanks: 14  Re: NicePlease help
I'm really curious what does "<>" mean.

November 18th, 2010, 03:14 AM  #3  
Member Joined: Oct 2010 Posts: 43 Thanks: 0  Re: NicePlease help Quote:
<> is not =.  
November 18th, 2010, 04:07 AM  #4 
Senior Member Joined: Oct 2010 From: Changchun, China Posts: 492 Thanks: 14  Re: NicePlease help
As far as I know, I don't think there is such a function satisfied such conditions.

November 18th, 2010, 07:23 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 19,162 Thanks: 1638 
Why? The function f(x) = 1 satisfies them.

November 18th, 2010, 08:06 AM  #6  
Senior Member Joined: Oct 2010 From: Changchun, China Posts: 492 Thanks: 14  Re: Quote:
 
November 27th, 2010, 05:43 PM  #7 
Global Moderator Joined: Dec 2006 Posts: 19,162 Thanks: 1638 
That's a logical interpretation, but I'm not sure whether it's the intended interpretation. Perhaps TungLHang can clarify what was meant.

November 27th, 2010, 06:15 PM  #8  
Senior Member Joined: Oct 2010 From: Changchun, China Posts: 492 Thanks: 14  Re: Quote:
 

Tags 
niceplease 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Nice to be here!  Cnguyen  New Users  1  October 12th, 2013 07:54 AM 
Again, nice problem!  tva_vlad  Number Theory  12  September 25th, 2013 08:04 PM 
nice exercise  ZardoZ  Calculus  4  December 6th, 2011 10:56 AM 
NICEHELP  TungLHang  Algebra  1  November 15th, 2010 08:55 AM 
NicePlease help  TungLHang  Algebra  4  December 31st, 1969 04:00 PM 