Re: ISI ME I, 2011 doubts

Posted by Sinistral on May 09, 2013; 1:29pm
URL: http://discussion-forum.276.s1.nabble.com/ISI-ME-I-2011-doubts-tp7580534p7580535.html

1) coming out to be sqrt(46). so option d only.

10) satisfies only  if f(x)=1 ∀ x or if f(x) =0 ∀ x .
     so (b)

11) keep n=3. none of the options satisfy . so option (d)

16) replace x by -x and solve the 2 simultaneous equations (in f(x) & f(-x))
    we get f(x) = -(x+2)/(x^2  +4)
    hence option (a)

22)
   f(0) = C ==> C must be an integer
   f(1)= A+B+C , we know C is an integer therefore A+B must also be an integer
   f(2)= 4A+2B+C = 2A + 2(A+B) +C, we already know that A+B & C is an integer therefore 2A has to be integer.
   therefore option c

28)
   integrate f(x) from x_0 to x to get F(x).
   then integrate xf(x) from x_0 to infinity to get E(X). option c