Math Is Fun Forum

Yes, that's also what I had trouble with. It was a homework question for a calculus class that I attended (but wasn't enrolled in). I don't think it should involve complicated algebra since it was only for first year calculus.

I think it is because people today are misguided. We are still trying to shrug off the dogmas that for so long have hindered our progress as a species. It is not science that is to blame, for science is one of the greatest enlightenments the human race has ever witnessed. It is what people do with science - the corrupted thoughts of irrational minds, that forces such evils upon the world.
It is a sad thing, our petty quarrels and egotistical warfare. I don't understand why people can't just love each other instead of fighting and killing. It must be an innate human flaw: that we prefer to manufacture unhappiness and persecute those who are happy.
Mad world.

I... don't understand

That looks fascinating, I'm sorry I can't give much advice but best of luck with it!

exp(x) is just another way of writing

e = 2.718281828459045...

ln(x) is the natural logarithm of x, and it is the inverse function of exp(x). In other words, it basically does the reverse of what exp(x) does.

The definition goes something like

Since it does the reverse,

Let the number of 5-rupee notes be X, and the number of 10-rupee notes be Y

Since he has 3 more 5-rupee notes than 10-rupee notes,

If the total worth is 195 rupee then

Substituting in,

So he has 15 five-rupee notes and 12 ten-rupee notes.

Let the original length and width in metres of the rectangle be L and W

Length exceeds width by 3m:

If the width is increased by 4m and the length decreased by 6m, let the new length and width be L' and W'.

Now, the area of rectangle with dimensions W', L' is 22 sq m less than the area of the rectangle with dimensions W, L.

And since

After expanding and simplifying we get:

Then

So the dimensions are 8m by 5m.

You can use the formula

Where

e.g.

The sum of the divisors is

I think this is a bit like asking "What happened before the big bang". There was no 'before' the big bang.

In a similar way, asking "What colour do you see when you die"... well, when we die we don't have the mental capacity to manufacture colour, so it doesn't exist.
After all, our mind creates colors for everything we see, so when our brain dies it makes sense that 'colour' also dies.

LOL wouldn't want to get stuck underwater, that would be very dangerous