Math Forum / Mathematics / Undergraduate Math / September 2006

The midpoint rule is..
          n
Area = E   f((xi+x(i-1))/2)(delta x)
         i=1

Does anybody have a copy of this paper that I could borrow? IT is kind
of pricey for a starving student such as myself.

I wonder if you could point me in the correct direction. I have to
prove a certain statement using just the definition of the limit of a
sequence. If a sequence x(n) has limit a then the square of the
sequence x(n)^2 has the limit a^2. I wonder if the correct direction is

4
E   1/(k^2+1)
k=0
I'm kinda lost on how to find htis, since our book gives us simple

I'm having some problems with sigma notation
Not too sure how to write hte problem here, so i'll try my best..
4
E     1/(k^2+1)

Not sure where else to post this, but I was wondering if anyone knew
the answer to this
Let's say you microwave a bowl of soup, and put some food wrap over the
bowl. Why is it that after you take the soup out, the wrap has sorta

I had a couple questions on a study guide my professor passed out related to differentiation.
f''(x) if f(x)=x^3/2-2x^1/2+4x^-1/2
I understand that its something like 3/2x but I dont know how the power changes with fractional exponents.
f(x) = 3sqrt(x+sqrt(1-x^2)).

Let n be equal to or greater than 3.  The constant "3" is the number of rows, and n is the number of columns.
The 3 by n dots are in one plane.  Each of the four vertices of the concave quadrilaterals will coincide with
one dot in the array.  Looking at all possible orientations of ...

If you want to find the angular space, (w) you use the formula w = v/r where v = linear speed and r = the radious. And that is m/s over m. So the meters would cancel out, leaving only seconds. But the answer is radians/seconds!! Where do the radians come from!!
please answer ...

Hi.. I've noticed most of the topics discussed here looks like advanced maths, or calculus. Im still struggling in algebra, so i have 2 questions i need to be resolved.
94. A square's side is increased by 3 yards, which corresponds to an increase in the area by 69 square yards. ...

I am trying to find an algorithm for calculating the area of a quad on a unit sphere, given four unit vectors in R3 which all originate at the center of the sphere and define the 'corners' of the quad.
I have seen some mention of cross-products and arcsine, but haven't had any ...

Hey what is the second derivative of
2 ln 2t
thanks can i please have steps

Can anyone give me a clue on how to solve this limit:
lim x->0+ (ln3x)/(ln2x)
thanks
/Johan

How numbers in Mathematics calculations are repeated in a specific
patern.....!!!!
For article
http://www.studyandjobs.com/math-beauty.html

How would one answer a problem like "how many integers between a and b
(inclusive) are divisible by c" where a, b, c are given integers.
Example:
how many integer between 100 and 999 (inclusive) are divisble by 7?