So this question is a math question having to do with me calculating the rate of population growth starting from a population of 100,000. I have already gotten the first 3 steps done (sex ratio, ratio of cycle time, and pregnancy ratio) after a week among those in the fertile timeframe...
Homework Statement
What is the next radius outwards of this Apollonian gasket?
R = radius of outer circle = 5
r1 = radius of largest inner circle = 3
r2 = radius of second largest inner circle = 1
a = unknown radius
Homework Equations
C = 2πr
A = πr2
d = 2r
The Attempt at a Solution
Make a...
I understand that for many iterative methods, convergence rates can be shown to depend on the condition number of the coefficient matrix A in the linear equation
$$Ax=y.$$
Therefore, if a preconditioner satisfies
$$P \approx A,$$
then by solving the transformed linear equation
$$(AP^{-1})...
Hello!
1. Homework Statement
Please, take a look at the problem and at my solution. Have I done it correctly and is my logic correct?
How much of a 10 liter 30% acid solution must be replaced with pure acid to obtain 10 liters
of a 50% solution?
Homework Equations
3. The Attempt at a...
Hello!
1. Homework Statement
Here is the problem I can't solve, and will be grateful for your help on this - please, guid me to the understanding of how to solve such problems. The difficulty lies in replacing some of the solution with water. It would be much easier to solve if we add water...
Hi
I am working on a programming assignment that requires me to implement the successive over-relaxation algorithm. We are given the wikipedia page for this: http://en.wikipedia.org/wiki/Successive_over-relaxation.
I have read through the wikipedia page for this numerous times but am still...
I got three equations:
l-cm-bn=0
-cl+m-an=0
-bl-am+n=0
In my textbook, its written "eliminating l, m, n we get:"
$$
\begin{vmatrix}
1& -c& -b\\
-c& 1& -a\\
-b& -a& 1\\
\end{vmatrix}=0
$$
but if I take l, m, n as variables and since ##l=\frac{\Delta_1}{\Delta}## (Cramer's rule) and...