Hi , i am interested to know physics behind MOS capacitors, on which iam currently working in . i started to fabriacate a MOS capacitor without using oxide (silicon dioxide) layer, i have read in articles that a MOS capacitor can be fabricated by using the native oxide layer ( naturally formed...
Arc Length, Irreducible quadratic factors
i'm having a hard time seeing this method, and i have to use this method on one of the problems I'm doing to find it's Arc Length.
L=\int_{\sqrt{2}}^{\sqrt{1+e^{2}}}\frac{v^{2}dv}{v^{2}-1}}
the book suggests to first divide then use a...
Homework Statement
"If the circumference of a circle changes by a factor of 3, then its area changes by a factor of ____."
Homework Equations
C=2*Pi*r
A=Pi*r^2
The Attempt at a Solution
I really don't know where to start.Recently I have been learning about the changing of factors and I'm...
This problem came up on a math contest the other day and I drew a blank - now it's bugging me.
"If the polynomial P(x)=x^2+ax+1 is a factor of T(x)=2x^3-16x+b, find the values of a and b."
Anyone have any ideas?
Homework Statement
I don't understand something I have read about partial fractions so I wonder if anyone can help!
To each repeated linear factor in the denominator of the form (x-a)^2, there correspond partial fractions of the form : A/(x-a) + B/(x-a)^2
Is this true if we have...
define the sequence P_n as follows:
P_{0} = 1 ; P_{1} = a and P_{n} = 6P_{(n-1)}-P_{(n-2)} + 2a^2-8a+4
Then each term is a product of two numbers as follows
P_{n}= {1*1,1*a,a*b,b*c,c*d,d*e,\dots}
where
b = 2a-1
c = 4b-a
d = 2c-b
e = 4d-c
f = 2e-d
...
...
Has anyone come across...
Hi,
Apart from heat and number of moles, what dictates how much a gas will expand when exposed to heat.
Is it density?
The density of Xenon is 5.894 g/L and the density of Helium is 0.1786 g/L does this mean that if they were both in the same conditions of volume of container, number of...
I have investigation on measuring the factors the signal strength from the transmitting antenna. I have some idea about measuring the signal strength.
Is it true to use field intensity meter to measure signal strength with the unit of volts per metre? Thank you for helping out.
What are the factors which affect the travel of sound through different mediums? You does sound travel faster through a solid than a gas, is it because of the greater density of the solid, or because of the stiffness of the solid? Does sound travel faster in humid air, or dry air?
many thanks...
Hello everyone
I'm stuck with a problem from Simmons (not HW). The problem asks to solve the following equation by finding an integrating factor
(xy-1)dx + (x^2 - xy)dy = 0
I found by hit and trial that there can be no integrating factor that is a function of x alone or y alone. So how...
1 Joule = 1N x 1m
which means
1 Joule = 1kg x 1m/s^2 x 1m
but can it also mean that the object accelerates at 0.5m/s^2 and travels 2m? The mass is constant, so if it is given 1J of energy how do you know the factors of the acceleration and the distance?
Homework Statement
Final round I promise!
Is there some sort of trick that can be applied to the following equation so that it is easier to process?
\frac{dy}{dt}=\frac{1}{t+y},\:y(-1)=0
The Attempt at a Solution
Somebody told me that the equation can be made easier by...
Homework Statement
y' (1+e^t) + e^ty = 0
How do I get it in the form
y' +f(t)y = f(p)
That is how do apply algebra to this so it is in the proper form to process it?
The Attempt at a Solution
Kind of hard to post my attempt. I can move the y' (1+e^2) to the right side then divide both...
Homework Statement
y' + 2ty = t^3
Homework Equations
Integrating factors and variation of parameters
The Attempt at a Solution
Ive solved for m
M = e^{\int 2t\,dx}
M = e^t^2 (this is e^t^2, but doesn't look like it in latex)
I multiplied both sides by M
(e^t^2)(y') + (e^t^2)(2ty) =...
Intensity of Light-- What factors contribute?
What factors affect the intensity of light? What is intensity? Are the relationships or equations that link the intensity of light to other variables? I'm asking this because I'm not quite understanding intensity vs. frequency. I'm studying the...
I can't solve this problem, can u ?
We have this crane hook which has a force F=3000dN pulling it down and we have to calculate a few designing elements look to the section and calculate the safety factors for:
1. the crane hook (part No. 5 )at the section A-A and B-B .
2. the hook trunion...
urgent: stress-concentration factors
Hey people,
I urgently need a chart of theoretical stress-concentration factors for the following general case: a part made from two thin plates of equal weidth connected parallel to each other with one shorter than the other. I need the theoretical...
Homework Statement
Design and complete an investigation to determine how the following factors affect the force of friction:
weight
surface are
speed
Homework Equations
The magnitude of the force that is provided by an elastic band is directly related to the distance the elastic...
Given that
x^5 - 2x^4 + 2x^3 - 4x^2 - 3x + 6 is exactly divisible by x^2 + 3, find the remaining real factors of the polynomial.
__________________
I could easily do that question using a calculator, just by graphing it and finding the roots. Another thing i can do is multiply the...
Homework Statement
I am responsible for coming up with an experiment to determine how the following 3 factors affect the force of friction: weight, surface area and speed.
The directions given inlcude:
"You will need to measure the magnitude of the force of friction. Since the...
Homework Statement
solve the following equation using method of intergrating factors:
Homework Equations
dy/dx = y + cosx - sinx
The Attempt at a Solution
i think i have to get it in the form dy/dx + r(x)y = f(x)
but i can't see how,
if i multiply or divide by a factor i...
Suppose you have an equation:
M(x,y) dx + N(x,y) dy = 0
I have heard that there always exists an integrating factor u(x,y) such that the partial derivative of uM with respect to y equals the partial derivative of uN with respect to x.
But somewhere in the back of my mind I remember that...
For every pair (a,b) of factors that equal the trangular number m(m+1)/2 there are two distinct sets of pairs (c,d) that form a determinant equal to 2m+1 such that the products (a+cn)*(b+dn) = a triangular number for all n. Is this a previously known fact and how can it be prooved?
This is my physics coursework task and although I have had only minor difficulties in actually doing the work, I thought I would post some of the things that I found to verify.
Basically, I began with saying that the initial speed (u), initial height (h), gravitational constant (g) and the...
Find all positive integers n (n will be called special)
such that if n divides a three digit number say ABC where A = hundreds, B = tens, C = ones. Then n also divides BCA and CAB.
So far I have worked out that 1 is special of course, so is 3 (factor test sum of digits will always be the...
Hi i want to learn about the K factor that is used in the wireless communications and i used to denote the curvature of earth... Do u know where i can find information about it? Any good links about wireless communications aspects...such as antennas, radiation ...et.c.
I noted the following relation for the form F_{n} = n^{2}-3n+1
let p_n be any whole factor of F_n and p_{n}^{'} be the quotient. The following relation then holds
[tex]\frac{F_{n}}{p} * \frac{F_{(n+p)}}{p} = F_{(n+p_{n}^{'})}
A trivial example would be to let p = 1. Then
[tex] F_{n} *...
I need a table that i can easily find the ways to convert any unit to any other unit i want for example i have 589348cm and i want to change it to Tm i need a table that will easily show me the conversion factor
It is easy to show that for all odd x that:
(x^n-2) = 7 (mod 8)
but why are the factors of above either congruent 1 or 7 modula 8, i.e
factor(x^n-2) = {1,7} (mod 8)
can anyone give me a hint.
regards
Anton
I have been working on constructing a method to factor composite numbers composed of two odd prime numbers a and b. As a result, I have been experimenting numerically with various patterns to see if I could find some patterns that would reveal information about composites of two prime numbers...
Hi,
I've got this particular polynomial a^{3/2}+x^{3/2} and I need to factorize it as far as possible.
I've come to the conclusion that there are no factors.
Am I wrong?
Hi,
I"m working on my math history class project. I choose a topic to discuss about Theory of Ideal Prime Factors by Ernst Eduard Kummer. (1847). I read the material few times, but I don't get an understand of the basic idea how he can come up this theory. Can someone explain it in a...
Which factors have the most important role on one's personality and how? Genes or environment?
Is it true that many of criminals and indecent people had a difficult childhood and have grown up in an indecent family? And what's your defenition of a decent and indecent family?
I am looking for some ideas about this one. I use B actin as the normalizator in my western blot. i use different dilution factors of the B actin antibody. For some samples i use 500X and for others i use 1000X. I wonder when i normalize my samples and calculate the relative expression levels...
I have been tasked with a physics project at school, to investigate what factors affect the resonating frequency of a piece of wire. We arent told anything about the experiment, its a kind of research on your own thing. I know that the resonating part means the frequency at which the piece of...
Hi! How do I determine the number of distinct factors of a number, say, 2520?
2520 = 2*2*2*3*3*5*7
So we've 8 different primes. The number of combinations of those is, according to me:
C(8,1)+C(8,2)+...+C(8,8)=155 (I think, calculated it by hand; but it isn't important)
Obviously those...
I am going to be gone all day tomorrow at a conference track meet and am unable to ask my teacher how to do integrating factors and differential operators. I leave tomorrow at 9:15 am and was hoping to have some examples to take with me to study.
If someone could help me walk through a these...