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yeah.. it'll be much easier with a diagram tho.. the main thing is to find the velocity with which the moving wall moves.. let it be v2 coeff of restitn = e = (v - v2)/(v+v2) solvin, we get v2 = v(1-e)/(1+e)
let time after the ball collides wid the stationary ball be t1 obviously t1 = d/v
in that time t1, the moving wall would have moved v2 * t1 = d(1-e)/(1+e) now, let t2 be time it takes the ball (after hitting the stationary wall) hits the moving wall again
we get : v*t2 + v2 *t2 = d - [d(1-e)/(1+e)]
solving for t2, we get t2 = de/v
total time = t1 + t2 = d(1+e)/v
hope u understood it :)
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umm.. i'm getting confused becoz ur not using paranthesis ( ) can u edit it a little?? 
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elog(sinx) is nothing but sinx hence, the integral is:
cos3x. sinx dx now put cos x = t -sinxdx = dt
ans is 2. (-cos4x)/4 + c
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your answer for sin limit is wrong but cos limit is right.. post your soln..
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frictional forces due to atmosphere and the particles in the atmosphere
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here's a very useful trick my friend taught me: the key is to convert the number to 0 or 1 (whichever is reqd) in the correct order.. the order is like this...
1 5 6 2 9 7 3 4 8
i.e. first convert (1,1) to 1, then (1,2) to 0 then (1,3) to 0 ... and so on in the order i have given...
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well, i didn't do any rigorous method to solve it.. since the question is given 'MUST be', then a good way is to substitute values, which is what i did.. and since only an equilateral triangle is possible, thats the answer!
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yeah.. you'll get I1 = 2I2 - I1 after applying f(x) = f(a+b-x)
I1 = I2
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there are 2 qsns.. plz mention which one u r answering ;)
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answer D equilateral.. the value can ONLY be 1 and not > 1 
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hint: use binomial for root (n^2 + n)
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if you're aiming for IIT, then i would suggest u get a good integral calculus book like arihant, ml khanna, etc.. but school text book ain't bad if u just wanna learn the basics..
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nope.. both answers wrong..
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