Chain Definition and 939 Threads

Hi, I have 2 questions: 1. partial fractions: if I have following integral: Itegral[(1-2x^2)/(x - x^3)]dx; my question is do I break down the denominator to x(1-x^2) or do I go further: x(1-x)(1+x); this way it becomes more complicated; 2. chain rule: how does chain rule work in this...

Ok so I am reviewing multivariable now that i have some time; (why is it taking me so long to grasp some of these concepts!? :mad: ) anyways, and I am reading the proof of stokes theorem. The book I use is Stewart, but it seems to be ripped off word for word from swokowski, which in turn rippes...

I hope someone can point me to some information to assist resolving this apparent SR paradox. I have two gear wheels with an endless chain passing round them. The axles of the wheels are 100 chain_link_lengths apart, so we have 100 chain links along the top; 100 chain links along the bottom...

Let \left( {X_n } \right)_{n \ge 0} be a Markov chain (discrete time). I have {\bf{P}} = \left[ {pij} \right]_{i,j} = \left[ {P\left( {X_1 = j|X_0 = i} \right)} \right]_{i,j}, and the initial probability distribution {\bf{p}}^{\left( 0 \right)}. I need to calculate P\left(...

Why does single strain DNA moves slower then double strain DNA in gel electrophoresis? I think that it is because single strain DNA has less electrical charge than double DNA helix, and single strained binds with H bonds uncharged molecules thus increasing it’s mass.

If I was trying to prove the chain rule for partial derivatives, can I start with the definition of a total differential? What I mean is: Let f(x,y)=z where x=g(t) and y=h(t). I'm looking for \frac{dz}{dt}. By definition, dz = \frac{\partial z}{\partial x}dx + \frac{\partial...

I have this question which is confusing as it should be harder than it appears... A uniform chain of length L lays on a frictionless table top. Suppose one link just hangs over the table's edge so that the chain begins to fall. Let x be the amount of chain that has fallen. What is the...

Consider the above infinite chain of resistors. Calculate the effective resistance, R in ohm of the network between the terminals A and B given that each of the resistances labelled r=4180 ohm. I've split the resistor and I've done R^2-Rr-r^2=0, solving for R and I don't get the right...

Hi again. So, my teacher has requested that we do an explanation of how this chain works and to some how improve the method. http://home.comcast.net/~p.jectz/bike.jpg There's the basic idea with the force acting downwards and the teeth of the chain pulling. So we could find torque to...

Hi, I've seen a couple of proofs for the chain rule, and I know this probably sounds stupid, but I'm wondering why it can't be proved as follows: given the real valued functions y=f(u), u=g(x) since dy, du, dx, are all real valued functions as well can't you just state...

urgent question: localised mode, localisation effect of linear atomic chain Hello everyone, it is great place you have here, hope I can learn a lot from you I am doing some readings and there are couple of concepts that I haven't been familiar with and if you spend a little time to help me...

urgently need help: localized modes in linear chain and localization effects Hello everyone, it is great place you have here, hope I can learn a lot from you I am doing some readings and there are couple of concepts that I havent been familiar with and if you spend a little time to help me...

I have been informed that if: There is two train cars connected by a chain that will snap if extended by more than 1%. The cars accelerate at exactly the same rate, so the distance between them remains constant. As they speed up to very high velocity and special theory of relativity start...

Folks, Imagine a chain, floating in a frictionless, weightless environment. Just like this: -------------------- where every "-" is link. If a force acts on just one link of the chain "Link0", causing it to buckle like this (and the force continues to act) ...

I was trying it but i got stuck. http://img56.exs.cx/my.php?loc=img56&image=scan7xv.jpg http://img28.exs.cx/my.php?loc=img28&image=scan30fn.jpg

Hello, I'm new here, and I need help with a problem. I'm sure there is a really easy answer to this, but I don't know what it is. I can't find it googling, probably because it is so obvious to everyone else. But I have a circuit, which requires multiple batteries to opperate. Too combine their...

Hello I had a few questions if anyone could help me out. I wanted to convert toluene into benzoic acid via side chain oxidation using potassium permanganate. However, I'm a little unsure of the mechanism. If I'm right, you convert toluene into benzyl alcohol using NaOH, and then from...

The longest crater chain, to date, was found on Mars. http://www.craterchains.com/gales/mars_compose.jpg Lat: 64.203 Lon: 10.921E...

Bio Help! what is the difference between amino acids on their own and amino acids that have been incorporated into a polypeptide chain? My answer is that amino acids on their on do nothing. However when they interact they create a protein which eventually takes on a particular function...

Could a chain wrap around a frictionless cylinder? My theory is that for a chain to wrap around a cylinder, there has to be a certain amount of friction.

Hey what's up, The problem is...find the derivative of: y= x^2 sec(x-5) My question is...Would I start off by using the product rule and combine the chain rule with it, with x-5 being the inner function and sec(u) being the outer function? thanks...

Hey what's up, I had a question on the chain rule...How would I use the chain rule on a quotient...like if i have 1/(t^4 + 1)^3 , Would I use the quotient rule first, or just start with the chain rule?

A uniform chain of length 8.00m initially lies stretched out on a horizontal table. a) If the coefficient of static friction between the chain and the table is 0.600, show that the chain will begin to slide off the table if at least 3.00m of it hangs over the edge of the table. b)...

I'm reviewing for a test and having a bit of trouble fully understanding the free-radical chain reactions and writing the mechanisms (initiation, propagation and termination) steps. For example, my book describes the mechanism for chlorination of methane and I just don't follow it very well...

OK I have this problem dw/dt = w = r^2-s*tan(v) And it gives the following: r = sin^2(t) s = cos(t) v = 4t Soo...now Do i derive those still with respect to all those values? Or can i knock them all out in a line or two.

Does anyone know how to do this with chain rule? If a cone has height 1 m and radius 30 cm, and the height is increasing at a rate of 1 cm/s, whereas the radius is decreasing at a rate of 1 cm/s, what is the rate of change of the cones volume? Solve the problem using the chain rule...

Can someone give me hints on how to prove the chain rule? I want to be able to learn this. Let h(x)=f(g(x)), then h'(x)=\lim\limits_{h \to 0}\frac {f(g(x+h))-f(g(x))}{h} But what now?

In finding a derivative of a value, how do you know whether when to use the power rule or the chain rule? can anyone please tell me?

Please look at the attached pdf http://www.geocities.com/complementarytheory/Roots-Chain.pdf . By this model we can see that √1 is the "shadow" of √2 and √2 is the "shadow" of √3. If we can conclude that √3 is the "shadow" of √4 ... and so on, then do you think that this "Chain of...

how does the diff in shape of a polypeptide chain( alpha helix or beta pleated sheet) give rise to a diff in properties and functions? thanks for yr ans...

Do i just use the chain rule to differentiate 3^2x

Hi guys.. I am a new member of physicsforums.com (I am a science student at the pre-undergrad level). I am unable to solve a problem involving motion of a chain along a circular track, in classical mechanics. The problem is from an old book on mechanics. Please read the problem (below) and...

I'm having some trouble understanding why the chain rule comes into play in related rates problems. I'm able to follow the procedure outlined in the text and come up with the correct answer, but I'm not really comfortable moving on from a section until I understand why it works. The...

Hi, I was giving a pub quiz type quesstion the other day, which I managed to solve without the use of formulae/mathematics, but it got me thinking about how to solve it mathematically too. Imagine a chain stretched between two posts, that then droops in the middle, and forms a natural...

Hi Ive been trying to solve the following problem: There are two gear wheels whose centers are separated by 25 cm. a chain is wrapped around the two wheels such that if one wheel is turned the other turns(much like a cycle chain.) If th radius of the wheels are 11cm & 4 cm respectively, find...

I am having a hard time doing the following problems. First off all the notation is confusing the hell out of me. This is the first time i have used this notation so it is making learning very difficult. Here are my questions. Prove the following function is differentiable, and find the...

In addition to the question in https://www.physicsforums.com/showthread.php?s=&threadid=12538 I have a few other queries related to combat. I've read that the it requires about 900-950 Newtons to shear an average iron nail. I'm wondering how much would be required to slash through chain or...

Dunno if anyone that reads these boards has a background with Immunology, but here goes. As far as I understand it, heavy chain isotypes can switch on any given mature B cell due to the presence of Switch regions at the 3' of any isotype gene exon. This is regulated largely by cytokines that...

I know in Logarithms loga b * logc d = loga d * logc b and loga b * logb c = loga c. Chain Rule. Now I read Calculus, I found out about the Chain rule, are they the same?? Looks like it. But because of my poor English reading, I couldn't understand the text. Can some one explain what...