Math Forum / Mathematics / Undergraduate Math / March 2008

Does any one know the conditions on the mutual distances of n points sitting on a plane? Thank you very much.

Suppose that two boys named Davis, three boys named Jones, and four boys
named Smith are seated at random in a row containing nine seats. What is the
probability that the Davis boys will occupy the first two seats in the rows,
the Jones boys will occupy the next three seats, and the ...

(X,d) metric space, k compact subset of x implies k is closed and
bounded.
Does anybody know how to prove it - and why the converse of that is
false and why?

i need the solution manual of Fundamentals of Machine Components
Design by juvinall and k.m marshek 3rd edition

with so many intelligent mathematicians around, and possible some computer experts
this is for how long? a year?
some ideas that i had after pondering 5 minutes:
ban the accounts immediately for soliciting

Can anyone solve this question? I am really at a dead end!
(x+2)(x+3)(x+4)(x+5)=10

I'm trying to prove this:  Suppose a_n and b_n are two real sequences and
suppose that b_n is a divergent sequence, in particular suppose its limit is
+infinity.  Prove that a converging series Sum[a_n] can be found so that
Sum[a_n*b_n] is a diverging series.

I having trouble understanding how to solve this problem of A1 U A2 U
A3,
with the elements in them 100,1000, and 10,000 respectively.
Find the number of elements if

x is acute angle and
sin 5x sin 4x=sin 3x sin 8x
find x

The notion of a crescent or lune was discussed recently in
alt.math.recreational. Interested readers might look at my second posting
(Nov. 12) in the thread "crescent shapes"
<http://groups.google.com/group/alt.math.recreational/msg/377799ffe126a44c>

1.Graph
f(x)= 1 + ln(x-2), give domain, range, asymptote, x-int, y int. (transformation method)
2.simplify the quotient f(x+h)-f(x)  , where
                     ___________

I faced the following nonlinear first order differential equation during my thesis study:
(dy/dx) + a*x*y^(-1.57)*(dy/dx) - b*y^(-0.57) = 0
where,
a,b : some constants

Can anyone tell me how can I get the Solution of Data Networks by
BERTSEKAS & GALLAGER.
Thanks
Priyatosh.

Generate Functions:
Write the area A of the rectangle as as function of the length of the rectangle.
1. A wire 10 meters long is to be cut into two pieces. One piece is bent into a square and the other into a circle. Write the total area as a function of the length of the piece ...

I have the following solutions manuals.  They are the full solutions
unless otherwise noted.  Contact me if you would like them.  There's
a small $10 handling fee.  These are all electronic.  Contact me at
books-101 at hotmail dot com.