Math Forum / Mathematics / Undergraduate Math / September 2005

I'm missing something here, the answer I'm coming up with does not
appear to be correct, can somebody point me in the correct direction
please?
How many times the comparison in line (3) will be made?

   How is the golden mean calculated. I've read about it but is it a ratio
you apply to floating point numbers in a series? For example
21.35+5.45=26.80/2=13.40. Simple mean. Then of course there's geometric,
weighted, exponential means and so on. How's the golden mean calculated?

  Let p be a prime number. I need to show that
             2n+1
            p     +   1
       K = ---------------

does anyone have a make/model of a calculator that does basic number theory
such as finding gcd's and lcm's etc. ?

Let
A_n = 1/(n+1) + 1/(n+2) + ... + 1/(2n).
Prove that
lim n(log2 - A_n) = 1/4,   n->infinity.

Let f : R^n -> R be differentiable and f(0)=0.
Are there some differentiable g_k : R^n -> R,
k=1,2,...,n, such that
f(x) = SUM( (x_k)*[g_k](x); k=1..n ) ?

Can anyone here explain to me how you get the quadratic formula?  It is easy to understand the area or volume of a quadrilateral, but i don't understand how you get the equation for the quadratic formula.  Does anyone here know any good book or website that actually explains how ...

Given three arbitrary parallel lines, how can you construct an equilateral triangle such that there is one vertex on each line?

1 - Solve the expression :
  cos [sin^-1(1/2)-sin^-1(3/5)]
2 - Justify that f(x) ia a continuous function.
  f(X)= sin^-1([x^2/4)-x]

I'd appreciate it if someone could find the derivatives of these functions and show me how it's done: they should be relevant to the product and quotient rule:
1.  f(x) = x(x^2 - 1)/(x+3)
2.  f(x) = (x^2 - x)(x^2 + 1)(x^2 + x + 1)
3.  f(x) = (c^2 - x^2)/(c^2 + x^2)

The question:
(3x^2-2y^2)+(y^2-2x^2)-(4x^2+2)
I got:
-28x^4y^2-14x^y^2+8x^2y^4+4y^4+12x^4+24x^6

solve:
(sin v - 1 ) (3 sin v - 4 ) = 0
please help! im stuck in the mud..
thanks! <3<3<3

this is really confusing me
Object in uniform circular motion is moving around the perimeter of the circle with a constant speed and while the speed of the object is constant , its velocity is changing . The direction is always directed tangent to the circle due to acceleration ...

The straight line distance between town A and town B is 10 kms. A man started a journey at town A and travelled half the distance,i.e, 5 kms in the first hour. And then he travelled half of the remaining distance in the second hour. And then he travelled half of the remainging ...

I am doing an analysis of two sets of data for a process capability index. In one instance, the sample size is large with 20 objects per sample. This produces a standard deviation that stretches the process curve beyond the process specifications.
However, when using a smaller ...