Recent content by no_arg

1. is it possible part 2

Yes What I meant was that there was only one point on the graph where a tangent exists...original corrected
2. is it possible part 2

Is it possible for a function to be defined over the entire real line and to have only one point on the graph where a tangent exists (corrected)
3. Is it possible??

Is it possible for a function to be defined over the entire real line and yet to have no tangents to its graph?
4. Point of Inflection question

Is only a change in concavity required?
5. Point of Inflection question

Here's an odd one! Define f to be the piecemeal function f(x)=x^2 for x>=0 and f(x) =-(x^2) for x<=0 The graph of f is then sort of like x^3 Does f have a point of inflection at the origin?
6. log question

Quite some time ago there was a question in the two unit paper that involved AP's and stacking logs? It became famous due to the confusion that was generated over the word "log". Does anyone know the year?? Thanks
7. curious perm/com probability question

But this is the question! Why do they only coincide when n=8??
8. curious perm/com probability question

For the question An eight letter word is constructed from EEEEEEGG. What is the prob it begins and ends with an E? Method 1 Total number of eight letter words=8!/(2!6!)=28 Number that start and end with an E 6!/(2!4!)=15 Answer 15/28 Method 2 Prob(start E)xProb(end...
9. curious perm/com probability question

But we almost always answer these questions via counting!! An interesting point. If we ask the question What is the probability that an 8 letter word constructed from the 8 characters EEEEEEGG begins and ends with an E? then both methods agree! Why does the usual method of...
10. curious perm/com probability question

!!!!!!!!!!!!!!!!!!!!!! But the answer is NOT 4/11 !!!!!!!!!!!!!!!!!!!!!!! Imagine that I change the question so that the eight characters are replaced by 1000 E's and 2 G's. You will still get 4/11 with the above attack but the correct answer is clearly very close to 1. The problem...

Close!
12. curious perm/com probability question

Here's a strange one! a) A 4 letter word is to be constructed using the 8 characters EEEEEEGG. In how many ways can this be done? b) How many of the words in a) begin and end with an E? c) What is the probability that a 4 letter word constructed from the 8 characters EEEEEEGG begins...
13. A very interesting problem

Question is drawn from a 2004 selective school trial! Though there is no guarantee that the solution was correct. Either way it is a basic counting problem and hence in the syllabus
14. A very interesting problem

You would imagine that this (ie 77) is the correct answer but it is not!! Think about it!!
15. A very interesting problem

Here is a spooky little question for everyone preparing for the trials. In how many different ways can six identical black marbles and six idententical white marbles be arranged in a circle? Think carefully abvout your answer