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A simple pendulum with a length of 2.23m and a mass of 6.74kg is given an initial speed of 2.06m/s at its equilibrium position. Assume it undergoes simple harmonic motion, and determine its (a) period (b) total energy (c) maximum angular displacement.
In Progress...
Find Sum of power series ,then answer the questions

series from 2 to infinity of [ 3 ^(n+1) . {z^n+2)} ] / [ n!]
indicate the convergence nhd (neighborhood).

Is series from 2 to infinity of [ 3 ^ {(3n+4)/2} /n!) convergent if yes compute its sum.
In Progress...
Find the limit ( value or zero or infinity )

[ (n+1). { 1+ ( n+1)^2 } ^ {1/2} . (n+3) ] / [ n . (n+2). { 1+ ( n)^2 } ^ {1/2} ]
as n : infinity
In Progress...
Find the Limit ( value or infinity or zero )
[ (n+1 )^ square root of {n+1} ] / [n ^ square root of {n} ]

or i can say

[ (n+1 )^ ( {n+1}^ {1/2} ) ] / [ n ^ ({n}^ {1/2} ) ]

as n: infinity
In Progress...
What is the ratio of the velocity of neon (Ne) atoms to the velocity of krypton (Kr) atoms when both gases are at the same temperature?
In Progress...
Compute the relative rate of diffusion of chlorine (Cl2) to hydrogen (H2).
Compute the relative rate of diffusion of argon (Ar) to helium (He).
In Progress...
Determine whether infinity is a singularity of the given function or not. if it is a singularity, find the laurent expansion at infinity

1- f(z) = [ z^3 + z + 1 ] / [1+z^2]

2- g(z) = z. sin (1/z)
Let f(z) = [ Sin ^2 z . (1+cosz) ] / [ {(z-1)^2}-1 ]
1- find the zeros of f
2- classify the zero z=0 , z= pi, z=2pi
In Progress...
f(z) = sin ( 1/(z-pi)) / 2z
1- Find the singularities of f , and all possible annulus centered at each singularity
2- Find the laurent series of f in each annulus
3- classify each singularity
4- compute the residue of at each singular point
In Progress...
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The assignment was a superb effort. A real master piece. I look forward to using it as well for my study as I head to the exams later in the year as it cover some aspects that were just rushed over by my tutor. Due to family pressures, I was silly enough to take on 8 papers this year and so my work load is a little insane to put it mildly. I am very grateful indeed for your teams help. In fact I have submitted yet another project that is currently in the queue for someone, if they are able to help as well.
Pete on April 2013
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