You are not logged in.
When t = 0, m = 200
When t = 5, m = 180
To solve an inequality like that, one way is to graph
and and find where the first graph is below the second graph. can be written asSo the turning point is at
.However, due to the modulus sign, we must reflect every negative y-value about the x-axis, so the turning point of
isSo when you sketch the graph it should look like a normal parabola except the part between the x-intercepts has been reflected about the x-axis. This graph should cross the line y=2 at 4 points, and if you graph you will see there are two sections below the line y = 2.
To find the intercept between the two graphs,
So for
and ,The cubic equation can be written as:
Since if you sub in the roots of x you get zeros.
Now use the remainder theorem to find the value of a, and long divide for the final answer.
I think Identity is wrong. Try
I like the heat!
Ricky wrote:Identity wrote:A lever 100000000000 miles long
You'd need to build a ship for it, something like an ark immediately.
In hindsight, perhaps this was a bit to obscure, but I believe Identity was referencing to Archimedes' lever, hence the "ark immediately".
I don't know how an ark fits in with the lever ?
Create a wormhole, pushing it into the fourth dimension!
Stephen Hawking was born on the same day as Galileo Galilei, exactly 300 years later!
I also remember there was another cool birthday/deathday coincidence but not sure which was it was, maybe it was:
Einstein died 100 years after Gauss.
But I think it involved Ramanujan... alas I have not been able to find it.
Oh yeah and I forgot to say, I saw star trek and it wasn't what I expected but it was still awesome! I have to get the DVD!
A lever 100000000000 miles long
hope these are right xP
- Run past it, watching it as it moves by.
- My name is not "mount Fuji"!
- I would not move it very well.
- Wait for the earth to rotate.
- Pick a small rock from mount Fuji and take it back to me on my flight home. The centre of mass of mount Fuji should have moved.
Oh stop making me jealous
lol I really want to see it after I get my exams done with
Please
How many ways are there to do this integral?
What is Reciprocal Multiplication? Can you give an example?
If you do
12x+=
or something like that it comes up with 0... maybe just call it 'incorrect expression' or something
Harry Potter, whenever it comes out
Wow, the trailers for Star Trek look amazing! Anyone else really excited about the movie?
Here are the trailers:
http://www.youtube.com/watch?v=7w4vk5OZmn8
http://www.youtube.com/watch?v=fdneFmLn0Sg
I haven't been that big of a fan of Star Trek but judging by the trailer and reviews it looks like it will a masterpiece.
Here are the reviews on rottentomatoes:
http://au.rottentomatoes.com/m/star_trek_11/
Thanks Kurre, I'll try to find it in the list. However, it is not Ceva's theorem or Menelaus's theorem.
I remember seeing a wikipedia page on it - it was a very advanced proof I think, but still uses Euclidean geometry somehow
I'm looking for a geometric theorem which can be only proven using logical contraposition. I can't remember what it's called, but I faintly recall it involving a triangle and some lines.... thanks
Are they primes?
That is a great proof, thanks bobbym, I learnt a lot from that.
However, is there a way to find the minimum of
without calculus?
Thanks also nurshodiq, I'm not that familiar with AMGM but it's interesting.
Do you mean 19 percent of 137?
This is a rough analogy, but here it goes:
Imagine $137 is all (100%) of the money I have, and it is somehow evenly scattered throughout 100 boxes (it is composed of 1 cent coins)
If you want to take 19% of the money, then it would make sense that you need to take 19 out of the 100 boxes.
So you now have
of the boxes and of the money. The total amount of money is $137, so you actually have:In general, if you want to find x% of y, then it will be
find all positive integers to
Since this must be a cube,
No solution?
Hmm that is pretty cool!
Are there any other numbers whose square root has interesting properties?