|
|
|
|
|
| Author |
Message |
![[Post New]](/templates/default/images/icon_minipost_new.gif) 5 Feb 2008 22:43:19 IST
|
|
|
let g(x) = 3x 2 - 4  x+1,whn x is less than 1 = ax+b, whn x is greater than or equal to 1 if g(x) is differentiable and continuous for all numbers,then find a and b.
|
"Many of the things you can count,dont count....
Many of the things you cant count,really do count...."-Albert Einstein
"The important thing in science is not so much to obtain new facts as to discover new ways of thinking about them"-William Bragg
"An inexplicable fact is infinitely preferable to an incomprehensible mystery"-F. Soddy
RISHIPRATIM MAZUMDAR
NIT DURGAPUR
1ST YEAR,ELECTRONICS AND COMMUNICATIONS
|
|
|
|
5 Feb 2008 23:08:30 IST
|
|
|
g(x) is continuous ------lhl=rhl at x=1
lim(x--1) 3x^2-4(root(x)+1) = lim x---1 ax+b
a+b=0
also g(x) is differentiable
lhd =rhd at x=1
u will get
a=6-2=4
so b=-4
hope i am not wrong!!
|
this reply: 2 points
(with 0 
in 1 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
5 Feb 2008 23:14:33 IST
|
|
|
the ans is a=4 and b=-4
|
"Many of the things you can count,dont count....
Many of the things you cant count,really do count...."-Albert Einstein
"The important thing in science is not so much to obtain new facts as to discover new ways of thinking about them"-William Bragg
"An inexplicable fact is infinitely preferable to an incomprehensible mystery"-F. Soddy
RISHIPRATIM MAZUMDAR
NIT DURGAPUR
1ST YEAR,ELECTRONICS AND COMMUNICATIONS
|
this reply: 0 points
(with 0
in 0 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
5 Feb 2008 23:18:20 IST
|
|
|
oh.......... i took root over the whole exp (x+1)
i guess it is only over x
anyways method is same i have edited my sol do tell me if any prob........
|
this reply: 0 points
(with 0
in 0 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
|
|
|
|
|
|
|
Moderation Team
![[Up]](/templates/default/images/icon_up.gif "[Up]"){kind=icon}
