This message of mine is a waste of your time, so please ignore it. 8!/8^8 * 9 = 9!/8^8 = 9.7!/8^7 sorry ... result ... intersection ... <brianscsmith@y...> ......
If memory serves me correctly... 4840 sq. yards = 1 acre 640 acres = 1 sq. mile And I've just checked it on my mobile (or cellular for those west of the...
... The function which describes the & (at least for i,ii,iii) is f(x,y) = x*y+x+y (i) f(2,3) = 2*3+2+3 = 11 (ii) f(3,4) = 3*4+3+4 = 19 (iii) f(5,4) =...
When stop deriving a function? That's it? Mmmm, maybe this: f(x) = x^2 f'(x) = 2x f''(x) = 2 ? Is that what you mean by 'stop deriving'? If that's it, i think...
Since P is the middle of AE, it is safe to assume AE is a side of the cube. Assigning coordinates to the points A(2,0,0) B(0,0,0) C(0,2,0) D(2,2,0) E(2,0,2)...
Whats the difference between proving and deriving ? Do you mean that you are solving an open ended problem ? Sort of like when you are proving a new theorem or...
Rephrasing the problem : In the interval [0,2*PI] there are 9 points. One point is at 0 and 2*PI (same point). Remaining 8 points are randomly distributed....
Actually, it was a test to see if anyone could spot the mistake ;)) But yes, it was a typo! Anyway, I posted it because it took me ages to work it out. The ...
What is the smallest positive integer with the following properties? 1) Its final (decimal) digit is n, where n is not 0 or 1. 2) When the final digit is...
It doesn't have to be a typo. If the rule is - take the larger number, square it, and add the smaller, you get 41. It also fits the four examples. ... ...
i forgot the posting number i read about this. the example given was : to prove that the sum of 1,2,...,n is n*(n+1)/2 now, somebody said that to prove it we...
here's my simple idea to calculate the volume. assume the side AD is the x-axis, A is the origin point. thus A(0,0), D(2,0). assume AB is the y-axis. thus...
'Twould be an interesting typo that replaces 108 with 98, but nonetheless, how did you figure out f(x,y) = xy+x+y as a solution for the first three? ... (x,y)...
f(x) = sin x f'(x) = cos x f''(x) = -sin x f'''(x) -= -cos x f''''(x) = sin x f(-5)(x) = cos x etc Or f(x) = e^x f'(x) = e^x f''(x) = e^x f'''(x) = e^x ...
Picture a 16-square grid. I have used symbols to roughly draw the grid .. hope it looks okay! The grid is akin to a crossword puzzle, only numbers instead of...
The difference between proving and deriving? As in, proving taking a statement and proving that it's true and deriving is calculating the derivative? Maybe...
I'm not so sure the correct answer is 1 - (1/8)^8 = .99999994... Here is my solution. Instead of thinking of the bubbles on the rim of the pizza, think of...
The problem with your solution is that you're saying the 8 slices must be at [0,1],[1,2],...[7,8]. What if the bubbles are located as follows?: .1, .2, 2.2,...
Both of these definitions (i.e. f(x) = xy+x+y and f(x) = (larger number)²+(smaller number) work as long as |x-y|=1. So what's, say, f (10,5)? ... number,...
... a ... Yes, this is what I wrote at the end of my message. Here is the correct answer: Sum[(-1)^(i-1) (n i) ((k-i)/k)^(n-1), {i,1,k}] Suppose the...
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