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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#1001 Re: Dark Discussions at Cafe Infinity » Long words! » 2007-05-29 20:22:09

If they have words for genetic coding, then that would be mega long.

#1002 Re: This is Cool » The Human Calculator » 2007-05-29 20:20:48

Is this guy a savant? I mean, is his brain configured differently? If he is then cool, if he isn't than woah!

#1003 Re: Maths Is Fun - Suggestions and Comments » Characters for Mathsisfun » 2007-05-29 20:16:13

I like the dog quivering it's tail in excitement, and generally those people who [are smiling]/[have books in their hands].

#1004 Re: Help Me ! » Curved surface area » 2007-05-29 04:00:15

Wowoah! I got some crazy answer! It's probably wrong, but let me know if it isn't!

Let C be the midpoint of AB.

Hence,


and so,

Hence, the area is inside the curved part


The area inside the triangular part

So the total area of the cross section is:

The circumference of the cross section

So the total surface area is:

≈ 1364.43 = 1360 m² (3.s.f)

#1005 Re: Help Me ! » What is M? » 2007-05-29 02:43:29

nkdlunch wrote:
Identity wrote:

There is no actual solution to this problem, but I'll show you what I would normally have done algebraically to solve it:







m ≈ -2.3829757691

But as I said, there is no solution. Substitute m into the LHS of the equation and you will not get m.

What is LHS?
And what would I'd have to say to show how it was solved?

It depends whether or not you've learnt about complex numbers.

#1006 Maths Is Fun - Suggestions and Comments » Chess? » 2007-05-29 02:17:23

Identity
Replies: 3

We already have a chess game, right? Would it be too hard to expand it so it can be played multiplayer on Mathsisfun? The reasons you might have already guessed: it's fun and encourages logical development, especially for youngsters. big_smile ?

#1007 Re: Help Me ! » What is M? » 2007-05-28 19:27:07

There is no actual solution to this problem, but I'll show you what I would normally have done algebraically to solve it:







m ≈ -2.3829757691

But as I said, there is no solution. Substitute m into the LHS of the equation and you will not get m.

#1008 Re: Puzzles and Games » Bulb Problem » 2007-05-28 02:41:32

What you do I think, is that you flick the 1st switch, then turn it off and flick the 2nd switch, leaving the 2nd switch on. Then, go upstairs and check on the lightbulb. If the lightbulb is on, then obviously the 2nd switch is correct. If the lightbulb is off, but still hot, then it is the first switch. If the lightbulb is off and cool, then it must be the 3rd switch.

#1009 Re: Help Me ! » Limit » 2007-05-27 01:49:38

JaneFairfax wrote:

If you are using a calculator, you should make sure you are working in radians, not degrees!

Use the formula

Hence

Thanks Jane, where did u get the formula from?

#1010 Re: Help Me ! » Object sliding down a straight frictionless slope » 2007-05-27 00:18:05

Hmmm, this is probably counter-intuitive because there is no such thing as a frictionless surface in our real world. Perhaps weird stuff just happens on those surfaces... why don't you try incorporating a little friction into the equation and see what happens.

#1011 Re: Jokes » Link Jokes » 2007-05-26 23:56:39

Nice one Daniel! Never woulda thought of it myself

#1013 Re: Help Me ! » Exam tips » 2007-05-26 23:53:39

Everything in Post #12 looks correct

#1014 Re: Puzzles and Games » lightning's spelling Bee » 2007-05-26 20:14:34

6. Durry vah tiff
7. Crow mus ohm
8. Ontra pra noir
9. Rawcuss
10. Dee rogue atorry

#1015 Re: Help Me ! » Limit » 2007-05-26 17:24:10

Hmm, apparently when it is divided by 2x it takes on a different shape. It is like a truncus, and when my calculator takes the limit of the whole thing it gets

#1016 Re: Help Me ! » Similarity q. » 2007-05-26 17:22:10

smile I always have a tendency to understimate the value of abstracting what you see as geometry into algebraic equations. What I found interesting is that although you have 3 variables and 2 equations, you eventually come out with a numerical answer for x. Is that the case often?

#1017 Re: Help Me ! » Limit » 2007-05-26 17:15:19

Sorry it was wrong, I edited it so it is correct now

#1018 Help Me ! » Limit » 2007-05-26 16:53:08

Identity
Replies: 9

How can I work out the limit of this??

#1019 Re: Maths Is Fun - Suggestions and Comments » Vote on MathsIsFun Front Page » 2007-05-26 16:42:44

But it's always spring in Mathsisfun land!

If you were change the appearance of the front page to match seasons, you would only be right for about 1/4 of the world.

#1020 Re: Maths Is Fun - Suggestions and Comments » Vote on MathsIsFun Front Page » 2007-05-26 14:25:54

Hard... they're so similar, but I prefer the 2nd one, especially its simplification of the links on the left.

#1021 Re: Help Me ! » Solving for radius, given chord length and altitude » 2007-05-26 06:46:47

Is this kinda what you mean?

a = Chord length
b = Distance from Midpoint of chord to Centre
r = Radius

By Pythagoras:

Hence,

#1022 Re: Dark Discussions at Cafe Infinity » What shape is the universe? » 2007-05-26 06:40:51

Hmm I just came up with an ill-advised hypothesis:

There is no clearly defined 'boundary' of the universe, that is to say, it is infinitely large. Therefore, couldn't it have been possible that the universe has been here all along, but just that all the stars and planets erupted from one explosive from a point in this forever-existing universe? The observations by Hubble just state that everything is moving away from each other. This doesn't mean that it is the universe is expanding, it might not have anything to do with that?

#1024 Re: Help Me ! » How do you figure this out =S » 2007-05-25 16:22:20

Since (x-1) and (ax^2 - bx + c) are both factors, simply divide

by
to determine (ax^2 - bx + c) and hence a, b, and c.

You should get

, hence a=1, b=-1, c=2.

If you wait a sec, I'll draw up an image showing the division.

#1025 Help Me ! » Similarity q. » 2007-05-24 23:58:42

Identity
Replies: 3

This was the final question on the test which we had on similarity and congruency. Baaah! It was worth 5 marks, and I couldn't do it, and the test was out of 30! mad I must say the questions on the test were much harder than I anticipated, but oh well, the harder the problems the more I learn I suppose!

Here 'tis (the diagram was not drawn on the paper):

thanks again

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