Math Forum / Mathematics / Undergraduate Math / October 2006

Hi. are anyone here so skilled in algebra that thay can explain why:
a rasjonal function can be written: P/Q
A / (ax+b) + .... +  B / (ax+b)^^n
when Q is (ax+b)^n

I'm rather new to logarithms and integration, so I'm wondering if I'm
doing the right steps.
The problem is: find F'(x) if F(x) = integral of 1/t from x to 3x
After I integrate using the first fundamental theorem, i get ln 3x - ln

Hey, ive been trying to evaluate the limit as n--> infinity of (1 + (x/n))^n. I know that it evaluates to e^x, but after trying L'hopital's rule, i keep getting stuck. I was wondering what i am supposed to be gettting for an answer after l'hopital's rule is implemented and how ...

I am a first year calculus student and need help with the following
proejct my professor has assigned us:
-- Sticking the Tank
You have just been hired by the Environmental Protection Agency (EPA)

Hi. are anyone here so skilled in algebra that thay can explain why:
a rasjonal function can be written: P/Q
A / (ax+b) + .... +  B / (ax+b)^^n
when Q is (ax+b)^n

I cannot solve the following problem, can anyone help me? Thanks in advance.
Given a straight line and two circles (of different radii), one on each side of the line.  Problem: how to construct an equilateral triangle with one vertex on the line, and the other two one on each ...

As of late I've been showing that two "finite" groups are isomporphic.  This
caused me little trouble because I would just create a one-to-one
correspondence between the elements of the two groups (where possible).
I believe this has led me astray (it's been about 7 hours now that ...

Imagine a rectangle balanced on top of a pin or point.  The rectangle is tilted by the x,y, and z coordinates ontop of the pin.  
Does any one have any good ideas as to finding the new 3D coordinates?
Thanks for the help.

Pi is defined as the ratio of the circumfrence to the diamater of the circle.  In order to find an aproximate value for Pi, using that method, you have to first take a measurement from a circle that everyone agrees on.
I have decided that I would rather define Pi as 3, instead of ...

in order to explain this better i've made a picture which can be found here:
http://i14.photobucket.com/albums/a327/dekutree1/math.jpg
if anyone can see what i did wrong please e-mail me or reply
thanks,

I've updated p. 4 of my Homepage at http:/mysite.mweb.co.za/residents/profmd/homepage4.html with an article of mine on a generalization of the Spieker circle & the Nagel line (contains links to Sketchpad sketches, as well as a math cartoon and quote on mathematics. (Refresh ...

How would I find the equation of a line in R^3 that is normal to a
surface in R^3?
say    z = f(x,y) is smooth and point of normalcy (a,b)  what method
can give me z = L(x, y)  such that the line goes through (a,b,f(a,b))

Determine all positive integers p, q such that :
117/158 > p/q > 97/131 and q<= 500.

Problem. Prove that if a planar graph has an Euler cycle, it has an
Euler cycle with no crossings. A path P in a planar graph has a
crossing if a vertex v appears at least twice in P and P crosses itself
at v; that is, P = (..., w_1, v, w_2, ..., w_3, v, w_4, ...), hwere the

I have a question where I have to show that the mean of the Weibull distribution:
f(x)=B/A*((x/A)^(B-1))*exp(-(x/A)^B)
For x>0 and A,B>0 is equal to:
A*G(1+1/B)