THE  QUESTION  HAS  BEEN  ANSWERED  WITHOUT  USING  ANY  SPECIAL  METHODS.  I  JUST  CIRCULATED  THROUGH  THE  COMMON  TYPE  OF  FUNCTIONS:

1.  POLYNOMIAL

2.  TRIGONOMETRIC

3.  LOGARITHMIC

4.  EXPONENTIAL        etc.......  SO THAT THE GIVEN CONDITIONS ARE SATISFIED............

THEREFORE

f (x)   =   - [ log ( x - a + 1 ) ] ^{2n + m}   +   b       where 'm' is any even natural number.

f (x)   =   - ( x - a )^{2n + m}   +  b      where 'm' is any even natural number.

Date : 11 - 5 - 2008

Day : Sunday

QUESTION OF THE DAY

The function  f  is defined such that  f ( x + yⁿ )   =   f ( x )  +  [ f ( y ) ]ⁿ  where n is a natural number and n > 1. Also  f '( 0 ) > 0.

Then the value of   f ( 5 )  +  f '( 5 )  is

( A )  1

( B )  5

( C )  2

( D )  6

Reading and understanding................



If you have (You need to have one, by now) some text books like that of NCERT or R.D. Sharma, go through them.



Your concepts need to be made very strong especially over "LIMITS, CONTINUITY & DIFFERENTIABILITY".



READ =====> UNDERSTAND =====> PRACTISE PROBLEMS

                                       

For n  =  1, the next integer greater than (  +  ) is 5, which is not divisible 2²  =  4.

Some mistake in the question???

CASE 1





The Question is:    d   =   A  +  ( D / C² )    where 'd' is the constant with dimensional formula [ L² ].

So, the dimensions of  ( D / C² )  =  Dimensions of A  =  [ L² ].

Therefore, the dimensions of C²  =  Dimensions of  ( D / A )  =  [ M L ^{- 5} ]

==> Dimensions of C  =  [ M^1/2 L ^{- 5/2} ]

CASE 2





The Question is:    D  =  ( A + d ) / C²    where 'd' is the constant with dimensional formula [ L² ].

So, the dimensions of C²  =  Dimensions of  ( A + d ) / D  =  [ L² ] / [ M L^{- 3} ]  =    [ M ^-1 L⁵ ].

==> Dimensions of C  =  [ M ^-1/2 L^5/2 ]

CASE 1

The Question is:    d   =   A  +  ( D / C² )    where 'd' is the constant with dimensional formula [ L² ].

So, the dimensions of  ( D / C² )  =  Dimensions of A  =  [ L² ].

Therefore, the dimensions of C²  =  Dimensions of  ( D / A )  =  [ M L ^{- 5} ]

==> Dimensions of C  =  [ M^1/2 L ^{- 5/2} ]

CASE 2

The Question is:    D  =  ( A + d ) / C²    where 'd' is the constant with dimensional formula [ L² ].

So, the dimensions of C²  =  Dimensions of  ( A + d ) / D  =  [ L² ] / [ M L^{- 3} ]  =  [ M ^-1 L⁵ ].

==> Dimensions of C  =  [ M ^-1/2 L^5/2 ]

Please help me in arranging the order of preference(First being the best)





Resonance Kota

Bansal Kota

Ramaiah-Hyderabad.

Also tell me, if I am repeating, will they start coaching from the very beginning, all the lessons one by one  OR  will they just concentrate on giving so much of problems and practice papers.

"SOMETHING IS BETTER THAN NOTHING........ SO LET ME WRITE DOWN A QUESTION."

If  g(x)   =   f( t ) . sin ( k {x - t} ) dt,          then        g''(x)  +  k² y  = 

( A )    0

( B )    f(x)

( C )    k . f(x)

( D )    k² . f(x)

BEST BEST BEST BEST..................... BOOKS FOR "PHYSICAL" and "INORGANIC" CHEMISTRY.

"I EXPECTING A COMPLETE PACKAGE WHICH WOULD TRAIN ME UPTO THE MAXIMUM NOT ONLY IN THE CASE OF KNOWLEDGE AND BASICS BUT ALSO TO TACKLE IIT-JEE"

ONE MORE DOUBT..................



WHAT IS YOUR OPINION ABOUT MTG'S "INTERACITVE PHYSICS"?