Wed 12 Nov, 2008 06:32 am - 1. Construct a basis of R4 having
(2, 0, -6, 1), (0, 2, 3, 0)
as two of the vectors in the basis. (Hint: find two linearly independent vectors within the set of all vectors orthogonal to the... (view)
Thu 23 Feb, 2006 03:16 am - hi, I would like to know if the following actions has infringed copyright?
1) A person downloaded a freeware and put it on his own web site for others to download
2) A person included a... (view)
Tue 20 Dec, 2005 07:44 am - We often say "Merry Christmas"
However, is it grammatically correct and OK to say "Happy Christmas" to give the same meaning? (view)
Wed 7 Dec, 2005 04:54 am - Please teach me to do this question
I have a circle C: x^2 + y^2 - 2y = 0
and a circle K which touches C and the X-axis.
Let A(s,t) be the centre of K, how can I show that [b]4t = s^2[/b] ?
... (view)
Sun 6 Nov, 2005 01:46 am - Prove my M.I. that for all positive integers n,
[b]1x3^2 + 2x5^2 + 3x7^2 + ... + n(2n+1)^2 = [n(n+1)(6n^2+14n+7)]/6[/b]
My workings:
When n = 1, L.H.S. = 9, R.H.S. = [1(2)(27)]/6 = 9
L.H.S. =... (view)
Sat 5 Nov, 2005 08:36 am - I have learnt pascal for some days and I am using Microsoft Quick Pascal.
But I don't know how to use a mouse in quick pascal.
As a result, all inputs of my program come from the keyboard.... (view)
Sat 15 Oct, 2005 11:49 am - This is just the whole question:
[b]Let a and b be the roots of the equation (x-1)^2 = k^2 - k + 2
where k is a real number
(1) Show that a and b are real and distinct
(2) Find the minimum... (view)
Sat 15 Oct, 2005 12:13 am - a, b are the roots of the equation: (x-1)^2 = k^2 - k + 2
where k is a real number
How can I find the minimum value of the absolute value of (a - b)?
I think the equation can also be written... (view)
Tue 11 Oct, 2005 03:56 am - [b][size=18]f(x) = ax^2 + bx + c[/size][/b]
where a, b, c are real and a is not equal to zero
If d, e are the roots of f(x) - x = 0,
how to prove d, e are also the roots of f[f(x)] - x = 0?
... (view)
