You are not logged in.
Pages: 1
Hi;
Evaluate this integral:
Prove the inequality:
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Are we allowed to express the LHS of the inequality as a Taylor series? If so, the problem becomes trivial.
Why did the vector cross the road?
It wanted to be normal.
Offline
Hi mathsyperson;
Thats how I would do it. But in this Putnam problem book he doesn't use that method. Why, I can't say.
Last edited by bobbym (2009-09-14 11:42:02)
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Ever seen this theorem?
[align=center]
[/align]So you just put
and .(What Im saying is that no point on a convex and differentiable curve lies below the corresponding point on a straight line that is tangent to any part of the curve.)
PS: I just looked up Wikipedia. This theorem is stated there without proof.
Last edited by JaneFairfax (2009-09-14 12:56:36)
Offline
Are we allowed to express the LHS of the inequality as a Taylor series? If so, the problem becomes trivial.
Thats how I would do it.
The inequality holds for
as well, in which case the method will not be trivial for .And note that there is an apostrophe in Thats.
Offline
Hello Jane;
The inequality holds for
as well, in which case the method will not be trivial for .
But the problem states x > 0 and mathsy is right using the expansion of e^x makes it trivial.
And note that there is an apostrophe in Thats.
That is true Jane, poor typing and high speeds, a lethal combination. Thanks for the correction.
Ever seen this theorem?
Yes Jane, I have heard of that theorem but I forgot it.
Last edited by bobbym (2009-09-14 18:23:55)
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi;
The inequality was the easy one. Now how about the integral it is even easier. If you start substituting you will go mad.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi;
Another integral this one is also easy:
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Offline
Hi Jane;
Last edited by bobbym (2009-09-25 11:14:14)
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi;
Another integral this one is also easy:
(e^2x)/2 - (e^-2x)/2
Offline
Hi;
Evaluate this integral:
Prove the inequality:
1/2[x - log(sinx + cosx)]
Offline
Hi 123ronnie321;
Yes that is almost correct!
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi bobbym,
Evaluate this integral:
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
Offline
Hi gAr;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Thank you!
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
Offline
HI gAr;
You are welcome.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Pages: 1