Maths ! Help pls !

[Anjali]

[Anjali]

[Anjali]

[Anjali]

[Noel]

F(1)-F(1/2)

[C10]

for Q13, ans is one positive and one negative

[C10]

Q1. ans is A:

[The Villain]

The ans of lt quest is 0.Just rationalise it.

[Anjali]

Noel what's the logic behind it ?

[Anjali]

C10 are you referring to the set question ?
Also from where can I practice such set questions ?

[Noel]

Use the definition of cdf i.e.
P(a<x<b)=F(b)-F(a)

Option 3 for question 64

[Anjali]

How to approach questions like 64 ?

[Deepak_Ka]

the general term is (n+1)/n!
which becomes n/n! + 1/n!
and it can be seen that first one equals e and second is e-1..so ans is 2e-1

[Dreyfus]

For q64....

[ashutosh]

just a clarification

what is the value of summation 1/(n-1)!
Summation 1 to n 1/(n-1)! = 1/0! + 1/ 1! + 1/ 2! + ...... so on
= 1+ (1+ 1/2! + 1/3!.... )
1 + e

in this case q64 becomes a. 2e +1

Am i wrong somewhere ?

[ashutosh]

@ C10

in 13th ques.
Are we just required to find out the eigenvalues. Thats what is implied by characteristic root of matrix ?

[Dreyfus]

@ashutosh the expansion of e is given by 1^0/0!+1^1/1!+1^2/2!+.......
Therefore the sum of 1/(n-1)! from 1 to infinity is the same as sum of 1/n! from 0 to infinityi.e. e

[Dreyfus]

Yes eigen values nd characterstic roots/values are the same thing.....

[ashutosh]

Thanks vaibhav :)

Got it.

[C10]

@Anjali, yes set question
u can practice from any higher secondary level book,