if f(x)=x³+x²f(1)+xf(2)+f(3).
then f(2) is

Let $f(x)=2-|x-3|, 1 \le x \le 5$ and for rest of the values $f(x)$ can be obtained by using the relation $f(5x)=\alpha\, f(x)\forall\, x \in R$.
The value of $f(2007)$ taking $\alpha = 5$, is: 

If $f(x) = \log_x [\ln(x)]$, then $f'(x)$ at $x = e$ is:

For a function F, F(0) = 2, F(1) = 3, F(x + 2) = 2 F(x) - F(x + 1) for x $\geq$ 0, then F(5) is equal to-

If $f(x)=\cosh x+\sinh x$ then $f(x_{1}+x_{2}+.......+x_{n})=$