Monday, April 29, 2024
02:21 AM (GMT +5)

Go Back   CSS Forums > CSS Optional subjects > Group II > Applied Mathematics
if f(x)=x^3; show that f(a,b,c)=a+b+c if f(x)=x^3; show that f(a,b,c)=a+b+c

Reply Share Thread: Submit Thread to Facebook Facebook     Submit Thread to Twitter Twitter     Submit Thread to Google+ Google+    
 
LinkBack Thread Tools Search this Thread
  #1  
Old Tuesday, February 05, 2013
Junior Member
  
Join Date: Jun 2006
Location: Hyderabad Pak
Posts: 26
Thanks: 44
Thanked 14 Times in 10 Posts
abrowaqas is on a distinguished road
Default if f(x)=x^3; show that f(a,b,c)=a+b+c
This question is from second order divided difference.

it goes as follows

we have

f(x)=x^3

for first divided difference

f(a,b) = {f(b)-f(a)}/(b-a)

= {b^3-a^3}/(b-a)

= a^2-ab+b^2

similarly
f(b,c) = b^2-bc+c^2

now the second divided difference will be

f(a,b,c) = {f(b,c)-f(a,b)}/(c-a)

solving we get

= a+b+c

thus

f(a,b,c) = a+b+c
Reply With Quote
The Following User Says Thank You to abrowaqas For This Useful Post:
LonelyEngineer (Tuesday, February 05, 2013)
Reply

« Previous Thread | Next Thread »

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts
BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are On
Pingbacks are On
Refbacks are On

Similar Threads
Thread Thread Starter Forum Replies Last Post
Asma Jilani ---- Vs---- Govt. of the Punjab sajidnuml Constitutional Law 5 Saturday, November 11, 2017 06:00 PM
Shakespeare's Sonnets Last Island English Poetry 0 Thursday, December 21, 2006 05:05 AM
HAMLET (SHAKESPEARE) Complete Ahmad Bilal English Literature 0 Wednesday, April 26, 2006 11:34 PM

CSS Forum - Privacy Statement - Terms of Service - Top

CSS Forum on Facebook Follow CSS Forum on Twitter

Disclaimer: All messages made available as part of this discussion group (including any bulletin boards and chat rooms) and any opinions, advice, statements or other information contained in any messages posted or transmitted by any third party are the responsibility of the author of that message and not of CSSForum.com.pk (unless CSSForum.com.pk is specifically identified as the author of the message). The fact that a particular message is posted on or transmitted using this web site does not mean that CSSForum has endorsed that message in any way or verified the accuracy, completeness or usefulness of any message. We encourage visitors to the forum to report any objectionable message in site feedback. This forum is not monitored 24/7.

Sponsors: ArgusVision   vBulletin, Copyright ©2000 - 2024, Jelsoft Enterprises Ltd.