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condition suggests that the function is also increasing but frankly, with no smoothness condition

on this function, I am equally baffled on what to do.

Fot the first, I multiplied both sides by (root a)-(root b) then did a quick side proof that since

(root 2009)((root a)-(root b) had to be an integer, both root(2009a) and root(2009b) also had to

be integers. This gives that root a= k root(41) and root b= m (root 41) for some integers k and m ( from prime decomposition of 2009).

Also k+m =7. So assuming a is smaller than b we have a= 41k^2 for k=0,1,2,3 qnd b= 41(7-k)^2

Hmm.. perhaps I should start up a separate blog for this stuff……

]]>I’m getting somewhere with the second but as for the third… Urgh! All I’ve managed to do is prove it’s an odd function. Any ideas anybody?

There’s nothing there I’m particularly embarrassed about, Trig, well, apart from the prostitute typecasting

The new job is good. I wish I could post more about it, especially cookery club, but there are rules about writing abut the kids which means I can’t say an awful lot.