Messages posted by karthik vadlamani

hey folks, it is the no.of solutions for the equation x+y+z=n(here n=10) ,x>0,y>0,z>0 so the no of solutions is n+r-1C(r-1) where r=no.of variables(i.e 3 in this case)..so 10+3-1C3-1 =12C2=66cheers!rate me if u like it!

^for x=0,1,2 lhs is less than rhs but for x=3.. lhs is greater than rhs

*for x=0,1,2 lhs is rhs

if x=0,1,2,the l.h.s is rhs so the value of x should be in(2,3) so let x=2+y where 0<=y<1..so we get (2+y)^2=4+2=6 solve it dude.. :Drate me if u like it

2^0=1=1 digit2^1=2=1 di2^2=4=1 di2^3=8=1 di2^4=16= 2 di2^5=32=2 di..2^7=3 di..2^10=4 di...if u observe carefully there is a pattern here...the increment in the number of digits starts from 4,7,10,... which is a sequence in A.P so the nth term is 4+(n-1)3=3n+1..so for 2^22,22=3n+1-->n=7 for n=1,no.of di=2,for n=2,no of di=3..so for n=7,no.of di=8.so no.of digits in 2^22=8..for 2^2^22,2^22=1024*1024*4=3n+1-->n=1398101..so no.of digits in 2^2^22=1398101+1=1398102.. :Dcheers!rate me if u like it :)

*simply

hence by sinmply putting a=3 ,the above expression will be zero..so a-3 is one factor and using division we'll get a^2+3a+2 as another factor whose factors are a+1 and a+2 so the factors of above expression are a+1,a+2,a-3 cheers!

in F.C.C type of ionic crystal

whether 2r⁺+2r^-=a or 2r⁺+2r^-=a?

how can we know whether it is an integrable or non integrable function?

hey
you should remember that,all expressions should have a least value when all numbers are equal
hence,

=1/2absinc put a=b=c=p=q=r
then delta=1/2a²sin60=^{[2 ]}

3/4a².therefore,a²=4delta/^{[2 ]}

3
          then the given expression leads to
           a³/2a+a³/2a+a³/2a=3/2a²
                                      =3/2.4/^{[2 ]}

3.delta
=2^{[3 ]}

3.delta
hence proved
cheers
rate me if u like it

use cauchy-schwarz inequality
cheers

why gravitational force exist between 2 objects without physical contact?

can u tell me the proof of stefan-boltzmann law in a detailed way?

how is 0 factorial 1????

anmswer for 2nd Q is 2

try by taking logarithms

cheers

no

the numerator is 1+8x³ and denominator is x(1-x³)

similar for y also

^{[ ]}

5-1/4

is answer 204?

hey,

cosx.cos(a-x).cos(a+x)=1/4 cos3x where a=60,120,240,300

hence cos20.cos(60-20).cos(60+20).cos60=

1/4cos²60=1/16

rate me if u like it

what is x,y?
time waste questions

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