Math Is Fun Forum

Thanks TheDude, but I would like do know what method was used to solve it. I've tried integration by parts but it didn't work.

Thanks bobbym, I'll check it out... ramanujan was a very interesting person

I was having an interesting discussion about this hypothetical on another forum. What does everyone here think about it?

You must choose from one of these two options.
Option 1: You die now.
Option 2: You live until your natural time of death, but when you die the earth is destroyed with you.

thanks mathsyperson

Yep, that is a fantastic theorem to remember for other problems, thanks for the derivation soroban

Haha, unwise to use Muirhead in an IMO solution, because it is not elegant enough?
How about proving Muirhead's yourself in the exam and acting as if you didn't know it existed! That would seem like real genius.

Cool, thanks for fixing it

By the way,

appears to be a straight line. How can this be?

I think we need more customized zooming. Rather than zooming in and out by a factor perhaps allow us to set x min-max, y min-max. Also I don't know if this is possible, but it would be nice if it could identify minima-maxima or allow us to 'trace' the graph, showing the coordinates at each point.

Also, some functions I graphed made IE stall for a very long time, for example sin(x+y/sin(x+y))=y. Perhaps you could have a 'break' button that can halt the processing.

But it's really good overall

Wow this makes me realise how much I love my graphics calculator... just nSolve( and out pops the answer.
Iteration... Taylor series? eww

In Australia we don't learn the double angle formula in high-school (but it is a nice formula)

Although, I guess if you included the formula as a hint (and also possibly ask students to derive it), it would make the problem quite doable.

Although my solution relies on Year 12 Maths, the ending is a bit wishy-washy since it requires you to 'know' that

(which I suspect most people won't have memorized)