I am just having trouble with percentages.
Lets say a town has a population of
1,000,000 in 2006
1,200,000 in 2007
1,800,000 in 2008
The percentage increase from
2006-2007 is 20%
2007-2008 is 50%
So, what I want to work out is the AVERAGE percentage per year.
The increase...
Homework Statement
Hello. I need help with orthogonality of the fourier series coefficients. I know you can use the dirac delta function, (or the kronecker function) in the orthogonality relationship. I want to try and see the derivation using complex form rather than sines and cosines...
thanks for the reply!!!
do you mean just straight forward integrate it w,r,t, x
for example it would be
\frac{x^4 - 2x^2}{4y} ??
then what would i do with that though??
thanks so much for your help
Homework Statement
i need to create the phase diagram for the equation \ddot{x}=x^{3}-x
using MATLAB
Homework Equations
Well i have worked out that there is a centre point at 0,0 and a saddle point at -1,0.
The Attempt at a Solution
i found a site on the internet which shows me...
brilliant thank you.
how do i show that these elements that i have generated are the actual elements though? or is it enough just to say they are?
and the fact that I havent got the same result twice from 0 to 7 means that it is primitive?
thanks so much
Homework Statement
Hi, I need to show that \alpha+1=[x] is a primitive element of GF(9)= \mathbb{Z}_3[x]/<x^{2}+x+2>
I have already worked out that the function in the < > is irreducible but I do not know where to go from this.
Homework Equations
there are 8 elements in the...
Homework Statement
Hello, I have been asked to prove that three different matrices which are skew-symmetric with a defined operation can be shown to be isomorphic to the usual vectors in 3d space with the operation of the cross product.
Homework Equations
Well the operation i guess is...
thank you everybody for your replies - much appreciated.
yes i began by just squaring my way up to 1870 using the primes however i dont' really see how this uses Euler's theorem?
I could square my way up easily if it was just a number, but I have never done it with a matrix and think it...
Okay, after researching this diagonalising I have come to the conclusion that my matrix cannot be diagonalised because all the roots of its characteristic equation are not real.
is this correct?
or could you point me in the right direction if it is not. thank you
"a) Calculate the discount percentage relative to the initial selling price."
does this not relate to the 360 dollars rather than the 200? as 200 is the buying price. Maybe I have just read it differently. Your working is correct though.
your part b looks correct too
Homework Statement
If I have a matrix M, say
30 5
20 16
How do I calculate M^{1870} mod 101 using Euler's Theorem.
Homework Equations
I have so far worked out M ^{2} mod 101 to be
91 28
11 53
and thought I could use this as 2x935=1870
The Attempt at a Solution
I...
I have to make a piecewise function continuous with first and second derivatives at x=0 by finding a value for a and b.
I have made the function continuous by equating the RHS and LHS limits and then solving for the variable a.
The limit of the first derivatives of the LHS and RHS are the...
y = k^{2}-4kx+3 - \sqrt{k^2+x-1/2}=0
I need to find the range of k so that this equation has some real solutions, using Maple.
I have started off by typing 'soln1:=solve(y,x);' which gives me two solutions both involving k. I just need to know how to get maple to return the range of k so...
Okay that sort of makes sense, i have C defined in the set [-1,1] in a previous question. (if it is the same C !)
but what about the 2^{n-1}
where does that come in in terms of C ?
Yes I thought that was odd. But it is a follow on question so perhaps they had proved it before, I'm not sure.
But I want to be able to do it just based on this.
So I can't take m = n+1, that makes sense. I was just clutching at straws really, trying to use the inequality provided.
So...
Hello, thanks for the reply.
Here is what I have done:
Take m,n>N
N>0
\epsilon > 0
Take m = n+1 then
|X_m-X_n| \leq 2^{1-n} \leq 2^{-n}
But then i don't know where to fit epsilon into it?
I actually have the answer in front of me, but it doesnt use epsilon at all, or N, which...
Homework Statement
Well, my problem is proving that sequences are in fact Cauchy sequences. I know all the conditions that need to be satisfied yet I cannot seem to apply it to questions. (Well, only the easy ones!)
My question is, prove that X_{n} is a Cauchy sequence, given that...
thankyou, yes this is what i want I think, except if the cols of the matrix is like 7.
I want it to automatically create seven things.
so basically i need like:
syms v1:vcols
A = {v1:cols};
but i know I cannot do this!
Thanks for the reply.
Sorry if i wasnt very clear.
Basically, I want to create a vector of variables. the vector will have the same number of rows as the number of columns on a previous matrix, A.
But I don't want any values assigned to the vector.
So if [rows,cols]=size(A)
I want to...