Messages posted by magiclko

i cudnt get wat u hav written!!!

One end of an ideal spring is fixed at point O abnd other end is attached to a small disc of mass m which is given an initial velocity V perpendicular to its length on a smooth horizontal surface. If the maximum elongation in spring is l_o/4 , (l_o = natural length and k= stiffness of spring)..... then find the velocity at maximum elongation and value of V, in temrs of l_o, m and k.

A triangle has its sides 4, 4 and 5. A point P is taken inside it such that its length of perpendiculars to the side are p1, p2, p3, then find the maximum value of p1.p2.p3

Will thr be any other test like the recent one????

defintely w2>w1.... since the volume will increase on increasing temperature.....

But titun, this approach is applied when "identical" objects are thr, while here stations cant be similar.... so ur approach may not be right!!!!

thr's no fixed direxion to it, u jst take it in one direction and solve the question, if u would have taken it in wrong direxion, it will come -ve on its own!!!

i think its not defined.... but is not sure..... waise, in the question , only x=y was given and not x+y=4, so it must be true!!!

srry, got it!!!

when we will get the results of the test???

okay...

yes, it will be done with logarithm approach,

let u= x^x

or, log u= x log x

differentiating both sides,

(1/u) u' = 1 + log x

u' = x^x (1 + log x)

done.........

so is the answer 1/2 I

²+

B, where

is the magnetic moment of the sphere....

yupp u r rite, cos x= 1as x tends to 0..... thanx ....

newayz, u got the solution, thats gud!!!

actually its not cube, its a 2-d figure.... chess board like, having 36 squares, 6X6.... and we hav to calculate P.D. across the diagonally opposite points.... m too badly messed up with these questions, plssssssssss help me out!!!

no reply

yupp the answer is 2/19......

see the approach shud be like this.....

out of 20 ppl, A and B are not to be selected, thrfore no of ways of selecting 6 ppl out of rest 18, is ¹⁸C₆ and arranging them in 6 places is 6!, i.e. ¹⁸P₆

now no of ways of arranging the left 12 persons is 12!

so total no of ways of arranging 18 ppl between A and B such that 6 are on one side and 12 on other is ¹⁸P₆. 12!

moreover A and B can be mutually arranged in 2! ways ....

thrfore total no of ways of arranging all 20 ppl in desired way = ¹⁸P₆. 12! 2!

and total no ways of arrangin 20 ppl around a round table= 19!

so the required probablity = (¹⁸P₆. 12! 2!) / 19!

= 2/19

-----------------cheers------------------

very true..

nice one and most of all its absolutely TRUE....

since the value of this limit is infinite, then it must be of 0/0 form, in order to apply L'Hospital Rule... that means Nr=0

acosx+bxsinx-5 = 0 ..............(1)

Now differentiating the expression once and equating it with 0 again,we have,

-asinx+bxcosx+bsinx=0

differentiating once again,

-acosx-bxsinx+2bcosx=0 ................(2)

Solving 1 and 2,

2bcosx=5,

which is possible only when cosx=1,

hence b=5/2 and a=5 (be using the values in eqn (1))

Hopefully u'll get it now..... any problem do ask again.......