- #1
sutupidmath
- 1,630
- 4
Explain this a little please
well i have another problem with finding a(some) functions. The problem is this:
FInd all non-negative continuous functions f:[01]-->R that fullfil the following:
integ from 0 to 1 of f(x)dx =1
integ from 0 to 1 of xf(x)dx=a and
integ from 0 to 1 of x^2 f(x)dx=a^2
where a is an element of the reals.
this problem is in a textbook, and it starts like this
integ from 0 to one of (x-a)^2 f(x) dx, and at the end comes to a contradiction, hence it concludes that such a functions does not exist.
My question is what is really this problem asking?
SO if you could explain a little to me how should i start thinking about this problem? Because i want to fully understand what i am writing, and why am i writing something.
So could anyone please elaborate this problem a little for me?
I really thank all you guys for your time, and for taking the effort on helping us all.
P.S. Btw it is not homework, just a problem i encountered in the textbook.
well i have another problem with finding a(some) functions. The problem is this:
FInd all non-negative continuous functions f:[01]-->R that fullfil the following:
integ from 0 to 1 of f(x)dx =1
integ from 0 to 1 of xf(x)dx=a and
integ from 0 to 1 of x^2 f(x)dx=a^2
where a is an element of the reals.
this problem is in a textbook, and it starts like this
integ from 0 to one of (x-a)^2 f(x) dx, and at the end comes to a contradiction, hence it concludes that such a functions does not exist.
My question is what is really this problem asking?
SO if you could explain a little to me how should i start thinking about this problem? Because i want to fully understand what i am writing, and why am i writing something.
So could anyone please elaborate this problem a little for me?
I really thank all you guys for your time, and for taking the effort on helping us all.
P.S. Btw it is not homework, just a problem i encountered in the textbook.
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