So here's the deal. I'm a human factors major and because I had a single stats class I am required to have a statistical analysis in my thesis. With that said it was a few years ago and wasn't my strong suit anyway. Here is what I am trying to do.
I have taken noise samples from three vehicles...
Hello,
i'm having some trouble identifying the correct method to approach a problem. I don't have any working to show, so i'll explain why I think the methods I've considered are not correct.
Homework Statement
Integrate with respect to x the following functions.
\int...
Hello! (Wave)
I have a question.
Given the equation $t(x)=x^{2}-3x-4=0$ which roots are $-1$ and $4$ , we are looking for a suitable iterative method $x_{n+1}=\varphi(x_{n}),n=0,1,2$ so that the sequence $(x_{n})$ converges to the root $4 \forall x_{0} \in [3,5] $.Which of the following would...
Homework Statement
Hello, I am working on a problem involves my using the Euler Method to approximate the differential equation \displaystyle \frac{df}{dt} = af(t) - b[f(t)]^2, both when b=0 and when b is not zero; and I am to compare the analytic solution to the approximate solution when b=0...
Hey! :o
I have a implicit finite difference method for the wave equation.
At step 0, we set: $W_j^0=v(x_j), j=0,...,J$
At the step 1, we set: $W_j^1=v(x_j)+Dtu(x_j)+\frac{Dt^2}{2}(\frac{v(x_{j-1})-2v(x_j)+v(x_{j+1})}{h^2}+f(x_j,0)), j=0,...,J$
Can that be that at the step 1 $j$ begins from...
Hey! :o
Given the following two-point problem:
$$-y''(x)+(by)'(x)=f(x), \forall x \in [0,1]$$
$$y(0)=0, y'(1)=my(1)$$
where $ b \in C^1([0,1];R), f \in C([0,1];R)$ and $ m \in R$ a constant.
Give a finite element method for the construction of the approximation of the solution $y$ of the...
Suppose we have a compact Lie group ##G##, and a differentiable function ##f:G_0\to\mathbb{R}## from the identity component of ##G## to the real numbers. I'm looking to maximize the value of this function.
Being something of a neophyte at optimization, especially of this kind, I decided to...
(The full article is here: https://app.box.com/s/bjb63h4nt12rsvdke6yl. The part I would like to ask is on page 995-996))
I am trying to understand the idea behind the author's method in solving the differential equation
I'(t) = -D(t) F \big (e^{\int_0^t \theta (u) du} I(t) \big )-...
The following LPP was asked to solve by two phase method
Max z=5x+3y
subject to
3x+5y<=15
5x+2y<=10
x,y>=0
I have applied Two phase method only in the presence of artificial variables. But in the given problem we need no artificial variable. How to proceed to solve it by two phase method?
In a LPP all the constraints are given as 'less than equal to' type. But it was asked to solve the LPP by Charnes Big M method. Is the question wrong?
According to me, we have to apply simplex method to solve it. There is no scope tp introduce M.
If you don't know anything about this please just read the first 20 lines on the below link and help me understand (I don't know anything either).
The vapour liquid solid method:
http://en.wikipedia.org/wiki/Vapor%E2%80%93liquid%E2%80%93solid_method
uses a solid, liquid and gas phase to grow...
Homework Statement
Find the moment of inertia of a hollow sphere about a vertical axis through its center in terms of its mass M and radius R.
Homework Equations
I=\int r^{2} dm
The Attempt at a Solution
I've been curious about different methods for finding moments of inertia...
I don't know what is the principle of Fizeau's method.
In the experiment a rotating toothed wheel is used.But why the toothed wheel is used?
If the toothed wheel is not used,why the time for the light traveled cannot be measured?
The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method..
y = -x^2 + 6x - 8, y = 0
so I got -8 to 0 for the integral by plotting the graph... How are they getting 2 to 4? You can't solve that by factoring? And when i...
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x axis...y = x^3 , y = 8 and x = 0
So my question is: Why did they cube root the y (to be more technical why did they put it in terms of x? I don't...
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I am implementing in a program the finite difference method for the heat equation.
The problem is the following:
$$u_t(x,t)=(g(x,t)u_x(x,t))_x+f(x,t), \forall (x,t) \in [0,1]x[0,1]$$
$$u(0,t)=u(1,t)=0, \forall t \in [0,1]$$
$$u(x,0)=0, \forall x \in [0,1]$$
where $f(x,t)=\pi x...
This isn't a homework question per se. Am merely seeking an explanation how the method of characteristics may be applied to a second order PDE. For instance, how is it used to solve utt=uxx-2ut?
Hi,
I'm doing a group investigation on external wall insulation for my school building. The walls do not have a cavity and thus it has been proposed to put insulation over the exterior render of the wall.
This is a fairly common building procedure.
However, my task is to investigate the...
Hello All,
Some of you may have heard of the freeware FEA program called FEMM written by David Meeker. It is used to simulate 2D electromagnetic geometries and also has an integrated LUA scripting host which allows script files to be written to automate the process.
I'm currently using...
I want to solve the Schrodinger via the Numerov Method but I had some troubles. I'm programing in C++, so here is my code:
#include<cstdlib>
#include<iostream>
#include<cmath>
using namespace std;
double x_min=-4.0 , x_max=4.0;
int N=2000;
double...
1) Problem Statement
2) Relevant Equations3) Attempt at Solution
For question d, I realize in this case that the substance that is oxidized and reduced is the same molecule : iodine.
How do I proceed then as the next step would ask for you to find the change in oxidation numbers and multiplying...
Hi, I'm practicing some of the methods for solving LODE's for my exam tomorrow afternoon and am struggling to understand one of the steps, I'm hoping someone will be able to explain it for me :)
So I have the equation
$(x-1)y''-xy+y=0$
with x being a solution. Then:
$y(x)=xv(t)$...
Ok, I'm going to be taking calc III next week, so I wanted to get a head-start by doing the MIT multivariable calculus opencourseware. While most of the material was easy, these proofs are really killing me. Here are two examples:
Ex.1: Using vectors and dot product show the diagonals of a...
Hi everyone,
I don't fully understand what is the regular method to state and solve problems in GR when no handy hints like spherical symmetry or homogeneity of time are assumed. If I find myself in arbitrary reference frame with coordinates x^0, x^1, x^2, x^3 the meaning of which is unknown...
This is a section from the Pan Air user's guide (Pan Air is a aerodynamic panel-method flow solver).
I'm confused by the symmetry and anti-symmetry. The first one is easy enough: mirror about the XZ plane (Yimage = -Y, Ximage = X, Zimage = Z). The third one is no symmetry applied. Also easy...
Hey everybody, I thought I would share an algorithm for factoring that I designed a few years ago while working on a Z80 project. I noted the same thing Fermat must have:
a^{2}-b^{2}=(a+b)(a-b)
After a few moments of looking at it, I realized the translation of that simple expression: If I can...
Homework Statement
A point charge of 10 coulombs is placed at a distance d= 20cm from the centre of an earthed conducting sphere of radius a= 5cm.Find ① The maximum surface density of charge induced on the sphere. ② The force of attraction on the point charge ③ The Sphere is now Insulated...
By using frobenius method I find the roots of the indicial equation of a 4th order ODE to be
0, 1, 1, 2
Now, what is the form of the corresponding series solution of this equation with log terms?
Homework Statement
Given f(x) = x^(2/3), find f'(x) using the Δ method.
Homework Equations
f'(x) = (f(x + Δx) – f(x))/(Δx)
The Attempt at a Solution
I understand the entire solution (that is attached along with the problem as a png file), except how to get [(x + Δx)^(4/3) + (x +...
So here I am trying to solve Rayleigh's differential equation using Rungen-Kutta 4th order analytic method.
This is what the exercise gives me: X(0 to 40), Y1(0)=0.1, Y2(0)=0, H=0.1, μ=0.5
This is what I ve written and gives me this error:
IMPLICIT REAL*8(A-K,O-Z)
DIMENSION...
Homework Statement
Use method of Frobenius to solve this equation:
##y''(x)-y'(x)=x##
Homework Equations
------
The Attempt at a Solution
Seek an answer of the form
##y=\sum _{n=0}^{\infty } a_n x^{n+r}##
Plug into the equation to get...
##\sum _{n=0}^{\infty } a_{n+1} (n+r)...
I'm going to try my first chemistry experiment.
http://www.chemteach.ac.nz/investigations/documents/chloride_mohr.pdf
I bought 35g of potassium chromate and 5g of silver nitrate.
5g of silver nitrate is only enough for one test. What should I do with the silver afterwards? Is it...
I remember when I took Calculus B in college. I had never learned any math by reverse engineering before, but when I got to sequences and series, the only way for me to learn how to do it was to reverse engineer it. I had to look up the answer in the back of the textbook, and then work...
Homework Statement
Find the voltage Vo using node voltage method specifically.Homework Equations
The Attempt at a Solution
I am able to get the correct answer when finding the equivalent impedance, then determining the current, and then finding the voltage at the first node V1 by subtrating...
Hey, I'm really struggling with this 'show that' question regarding the secant method, I just keep going in circles and I think I may be heading in completely in the wrong direction because I'm not getting anywhere.
Homework Statement
We're given that, if x* is the zero of f then (we...
In this experiment, we recorded a person saying "Aaaaaaa" on the mic as the analog source. And then the analog data was converted into digital data so that the programme in the PC could read it and then the digital data was converted into Analog again to reproduce the recorded voice. I attached...
Homework Statement
Consider a potential function V(x) such that:
$$
\begin{cases}
V(x)\leq 0\text{ for }x\in[-x_0,x_0] \\
V(x)=0 \text{ for }x\not\in[-x_0,x_0]
\end{cases}
$$
Show, using the variational method that:
(a) In the 1-dimensional case \lambda^2V(x) always possesses at...
Hi! Which is the better method for finding Fourier expansions of a function? The ordinary one (find a_0, b_n and a_n with separate integrals), or the one which uses complex numbers (just find c_n)?
Hi people, I need help to this problemSomeone has suggested that the device shown in the figure below be used to improve the maximum force F against the spring, which has a spring constant of k. This is accomplished by changing the temperature of the liquid-vapor mixture in the container. You...
Hello, I am trying to program a double pendulum via the 4th order Runge-Kutta method and I cannot seem to be getting the right output. At first I used the Euler-Cromer method, but now I am aiming to make it more accurate.
Homework Statement
I have the equations of motion: d(omega)/dt and...
Homework Statement
Find the tension in the rope
Homework Equations
F=ma
The Attempt at a Solution
I was wondering whether I could use method of sections in this problem to divide the two systems so that I could find the tension in the rope.
I have a strong feeling that I...
This is a problem from Tom Apostol's calculus book (the very first problem set in the introduction). It wants you to find
\int_0^b (ax^m+c)\,dx
using Archimedes' method of exhaustion. I'm attaching a diagram and a pdf of my work for the problem since it's rather involved.
I'm doing this...
Homework Statement
There are 20 couples who attend a party where there is a raffle. 10 Winners are chosen in the raffle. What is the expected number of couples for which both members win.
Homework Equations
Assuming method of indicators is used to solve the problem, Ai={members of ith...
Dear Forum :
I hung up with a integration
http://ppt.cc/mIpV
Can it be deduced to a simpler form?
The distribution of σ(E) is http://ppt.cc/-5Z5
The estimation width of x is 10MeV , height is 200mb.
The distribution of dE/dx is http://ppt.cc/vcVU
Is there a way to do some simple...
Homework Statement
A ball is dropped from rest from the top of a 6.10m building, falls straight down, collides inelastically with the ground and bounces back. The ball loses 10% of it's K.E every time it hits the ground. How many bounces can happen and the ball still reach a height of 2.44m...
This is a closed loop system. My teacher showed me that one of the methods to find the natural frequency of this system is by finding the frequency at phase -90 degrees. Why must it be -90 degrees? Please explain. From the phase graph, the frequency at -90 degrees is 32 [rad/s], so that's the...