Math Forum / Mathematics / Undergraduate Math / August 2005

Hi, all
1.
I read following theorem :
If A,B are subgroup of a finite group G,

there is a clothing company that makes a up market line and a budget line of clothing using 3 materials:
the up-market line = 50%A + 20%B + 30%C
the budget line = 20%A + 50%B + 30%C
market price are $790/tonne for upmarket and $700 for the budget line.

This is probably a simple problem, but in lack of any materials to help me I am running into some walls here...
Decide whether the following statement is true or false and explain: Because cos(-pi/3) = 1/2, it follows that arccos 1/2 = -pi/3
Can anyone help me out here?

Can anyone help me to see how to solve for y in this differential equation?
y'+4xy-y^2=4x^2-7
I've tried to divide both sides by x^2 but I don't know how to deal with the '7/x^2'

Hello, I am new at doing proofs and trying to proof the statement below. I THINK I am on the track but not sure if my reasoning is in good order.  Any help?
Suppose that f: X -->Y.  Prove that if A exists within B and B exists within X, then f(A) exists within f(B).
pf: if A exists ...

Consider the integral equation:
 / x
 |     K(x,t)*theta(t)dt = f(x)
/ a

This seems simple but I don't know where to start. Show that f n -> f
uniformly  if and only if  ||f n - f||->0

Hi, I need help getting an equation for a curve between two points.  This
isn't for a class, so please don't feel guilty for giving me the answer.
If I have two points (x1,y1) and (x2,y2), I want to get a formula that
draws a curve through those points that for any point on the ...

This is the first time I have posted to this particular group. Please
let me know if my question is not appropriate for this group.
I am working my way through a linear algebra textbook. I am not a
student and I am not trying to get anyone to do my homework for me.

I keep trying to understand the proof for that the sum of the limits is equal to the limit of the sum but to no effect .
we have two sequnces - a and b
e    ... degree of closeness
L(a) ... limit of sequence a

Hi, all
How many group automorphisms on the group Z_2 X Z_4 ?
I know there is 32 group homomorphisms from Z_2 X Z_4 to Z_2 X Z_4.
Because :

Hi, Guys!
I am what they call “new kid on the block” (excuse my American).
May be, you can help me.
Suppose, I have got a set of math and physics problems (high school, undergraduate college, post-graduate – you name it) and I need them to be solved on professional level – within a ...

There seems to be lots of ways of finding an average of my data. For example...
1) The mean
2) The median
3) The mean of the results that lie in the 68% SD range

town a n b are 480km apart. doris travelled from a to b. 18mins later, hames travlelled on the same route. James reached town b 30mins before doris, who was still 50km away from town b.find their total speed in km/hr.
Kindly PLS help. This is my working but could u tell me what's ...

(a) What condition must a function f(x) satisfy if the Newton Raphson
method for solving equation f(x) = 0 in one dimension is to converge?
(b) If this condition is satisfied, what is the rate of convergence? It
is up to your own discretion to decide what an appropriate definition